<div id="pf1" class="pf w0 h0" data-page-no="1"><div class="pc pc1 w0 h0"><img class="bi x0 y0 w1 h1" alt="" src="https://files.passeidireto.com/57d6f3f6-9a42-48f4-af32-5fee4402489e/bg1.png"><div class="t m0 x1 h2 y1 ff1 fs0 fc0 sc0 ls0 ws0"> </div><div class="t m0 x2 h2 y2 ff1 fs0 fc0 sc0 ls0 ws0">1 </div><div class="c x1 y3 w2 h3"><div class="t m0 x0 h2 y4 ff1 fs0 fc0 sc0 ls0 ws0"> </div></div><div class="t m0 x1 h4 y5 ff2 fs1 fc1 sc0 ls0 ws0">Vibrações Mecânicas \u2013 <span class="_0 blank"> </span>Resumo </div><div class="t m0 x1 h4 y6 ff2 fs1 fc1 sc0 ls0 ws0"> </div><div class="t m0 x1 h5 y7 ff3 fs2 fc0 sc0 ls0 ws0">ISOLAMENTO DE VIBRAÇÕES \u2013 </div><div class="t m0 x1 h5 y8 ff3 fs2 fc0 sc0 ls0 ws0">ISOLAMENTO ATIVO<span class="fs3 fc2"> </span></div><div class="t m0 x1 h6 y9 ff3 fs3 fc1 sc0 ls0 ws0"> Introdução: </div><div class="t m0 x1 h7 ya ff2 fs4 fc0 sc0 ls0 ws0">Na <span class="_1 blank"> </span>nossa <span class="_1 blank"> </span>1ª <span class="_1 blank"> </span>Aula <span class="_1 blank"> </span> <span class="_1 blank"> </span>nós <span class="_2 blank"> </span>citamos <span class="_1 blank"> </span>que <span class="_1 blank"> </span>o <span class="_1 blank"> </span>estudo <span class="_1 blank"> </span>das <span class="_1 blank"> </span>vibrações <span class="_1 blank"> </span>é <span class="_1 blank"> </span>importante <span class="_1 blank"> </span>para <span class="_1 blank"> </span>projeto </div><div class="t m0 x1 h7 yb ff2 fs4 fc0 sc0 ls0 ws0">de <span class="_1 blank"> </span>máquina. <span class="_1 blank"> </span>Demos <span class="_1 blank"> </span>como <span class="_1 blank"> </span>exemplo, <span class="_1 blank"> </span>o <span class="_1 blank"> </span>isolamento <span class="_1 blank"> </span>das <span class="_1 blank"> </span>máquinas <span class="_1 blank"> </span>de <span class="_1 blank"> </span>usinagem <span class="_1 blank"> </span>que <span class="_1 blank"> </span>se </div><div class="t m0 x1 h7 yc ff2 fs4 fc0 sc0 ls0 ws0">não <span class="_3 blank"> </span>isoladas corretam<span class="_4 blank"></span>ente <span class="_3 blank"> </span>podem <span class="_3 blank"> </span>ter <span class="_3 blank"> </span>a <span class="_3 blank"> </span>qualidade <span class="_3 blank"> </span>dimensional <span class="_3 blank"> </span>das <span class="_3 blank"> </span>peças <span class="_3 blank"> </span>usinadas </div><div class="t m0 x1 h7 yd ff2 fs4 fc0 sc0 ls0 ws0">prejudicadas. </div><div class="t m0 x1 h7 ye ff2 fs4 fc0 sc0 ls0 ws0">Para <span class="_1 blank"> </span>evitar <span class="_1 blank"> </span>esse <span class="_1 blank"> </span>tipo <span class="_1 blank"> </span>de <span class="_1 blank"> </span>problema <span class="_1 blank"> </span>temos <span class="_1 blank"> </span>que <span class="_1 blank"> </span>isolar <span class="_1 blank"> </span>a <span class="_1 blank"> </span>vibração <span class="_1 blank"> </span>que <span class="_1 blank"> </span>pode <span class="_1 blank"> </span>ser <span class="_1 blank"> </span>feito <span class="_1 blank"> </span>por </div><div class="t m0 x1 h7 yf ff2 fs4 fc0 sc0 ls0 ws0">dois <span class="_0 blank"> </span>tipos <span class="_0 blank"> </span>principais <span class="_0 blank"> </span>de <span class="_0 blank"> </span>isolamento <span class="_0 blank"> </span>de <span class="_5 blank"> </span>Vibrações, <span class="_0 blank"> </span>o <span class="_0 blank"> </span>ativo <span class="_0 blank"> </span>que <span class="_0 blank"> </span>consiste <span class="_5 blank"> </span>em <span class="_0 blank"> </span>isolar <span class="_0 blank"> </span>a <span class="_0 blank"> </span>base </div><div class="t m0 x1 h7 y10 ff2 fs4 fc0 sc0 ls0 ws0">das <span class="_0 blank"> </span>vibrações <span class="_5 blank"> </span>provenientes <span class="_0 blank"> </span>da <span class="_0 blank"> </span>máquina <span class="_5 blank"> </span>e <span class="_0 blank"> </span>o <span class="_5 blank"> </span>passivo <span class="_0 blank"> </span>que <span class="_5 blank"> </span>consiste <span class="_0 blank"> </span>em <span class="_5 blank"> </span>isolar <span class="_0 blank"> </span>a <span class="_5 blank"> </span>excitação </div><div class="t m0 x1 h7 y11 ff2 fs4 fc0 sc0 ls0 ws0">da base para a máquina. </div><div class="t m0 x1 h7 y12 ff2 fs4 fc0 sc0 ls0 ws0">O <span class="_6 blank"> </span>isolamento <span class="_6 blank"> </span>é <span class="_6 blank"> </span>feito <span class="_6 blank"> </span>pelo <span class="_6 blank"> </span>conjunto <span class="_6 blank"> </span>mola <span class="_6 blank"> </span>e <span class="_6 blank"> </span>amortecedor. <span class="_6 blank"> </span>Até <span class="_6 blank"> </span>o <span class="_6 blank"> </span>presente <span class="_6 blank"> </span>momento, </div><div class="t m0 x1 h7 y13 ff2 fs4 fc0 sc0 ls0 ws0">falamos apenas do <span class="_7 blank"> </span>amortecimento viscoso. Dentro desse <span class="_7 blank"> </span>tópico, o isolamento <span class="_7 blank"> </span>de </div><div class="t m0 x1 h7 y14 ff2 fs4 fc0 sc0 ls0 ws0">vibrações, <span class="_6 blank"> </span>vamos <span class="_2 blank"> </span>abordar <span class="_6 blank"> </span>outros <span class="_6 blank"> </span>três <span class="_6 blank"> </span>tipos <span class="_6 blank"> </span>de <span class="_2 blank"> </span>amortecimento: <span class="_6 blank"> </span>o <span class="_6 blank"> </span>amortecimento <span class="_2 blank"> </span>de </div><div class="t m0 x1 h7 y15 ff2 fs4 fc0 sc0 ls0 ws0">coulomb, o amortecimento histerético e o amortecimento proporcional. </div><div class="t m0 x1 h6 y16 ff3 fs3 fc1 sc0 ls0 ws0">Isolamento Ativo </div><div class="t m0 x1 h7 y17 ff2 fs4 fc0 sc0 ls0 ws0">Isolar <span class="_3 blank"> </span>si<span class="_4 blank"></span>gnifica <span class="_3 blank"> </span>adi<span class="_4 blank"></span>cionar <span class="_3 blank"> </span>elementos <span class="_6 blank"> </span>de <span class="fc1">amortecimento <span class="_6 blank"> </span>c<span class="_0 blank"> </span></span> <span class="_3 blank"> </span>e <span class="_6 blank"> </span><span class="fc1">rigidez <span class="_3 blank"> </span>k</span> <span class="_8 blank"> </span>com <span class="_8 blank"> </span>intuito <span class="_8 blank"> </span>de </div><div class="t m0 x1 h7 y18 ff2 fs4 fc0 sc0 ls0 ws0">reduzir <span class="_1 blank"> </span>ao <span class="_1 blank"> </span>máximo <span class="_1 blank"> </span>as <span class="_2 blank"> </span>forças <span class="_1 blank"> </span>transmitidas <span class="_1 blank"> </span>do <span class="_1 blank"> </span>sistema <span class="_2 blank"> </span>para <span class="_1 blank"> </span>sua <span class="_1 blank"> </span>base <span class="_2 blank"> </span>e <span class="_1 blank"> </span>de <span class="_1 blank"> </span>sua <span class="_1 blank"> </span>base <span class="_1 blank"> </span>ao </div><div class="t m0 x1 h7 y19 ff2 fs4 fc0 sc0 ls0 ws0">sistema. </div><div class="t m0 x1 h7 y1a ff2 fs4 fc0 sc0 ls0 ws0">O <span class="_5 blank"> </span>isolamento <span class="_5 blank"> </span>ativo <span class="_5 blank"> </span>consiste <span class="_5 blank"> </span>em <span class="_1 blank"> </span>isolar <span class="_0 blank"> </span>a <span class="_1 blank"> </span>base <span class="_5 blank"> </span>das <span class="_5 blank"> </span>vibrações <span class="_5 blank"> </span>provenientes <span class="_5 blank"> </span>da <span class="_5 blank"> </span>máquina. </div><div class="t m0 x1 h7 y1b ff2 fs4 fc0 sc0 ls0 ws0">Com <span class="_5 blank"> </span>objetivo <span class="_5 blank"> </span>que <span class="_5 blank"> </span>as <span class="_5 blank"> </span>forças <span class="_5 blank"> </span>de <span class="_5 blank"> </span>excitação <span class="_5 blank"> </span>geradas <span class="_5 blank"> </span>por <span class="_1 blank"> </span>ela <span class="_0 blank"> </span>nã<span class="_0 blank"> </span>o <span class="_5 blank"> </span>sejam <span class="_1 blank"> </span>transmitidas <span class="_5 blank"> </span>para </div><div class="t m0 x1 h7 y1c ff2 fs4 fc0 sc0 ls0 ws0">o chão e deste, para outros equipament<span class="_4 blank"></span>os ou locais. </div><div class="t m0 x1 h7 y1d ff2 fs4 fc0 sc0 ls0 ws0">Para <span class="_0 blank"> </span>isso, <span class="_0 blank"> </span>deve-se <span class="_0 blank"> </span>determinar <span class="_0 blank"> </span>as <span class="_0 blank"> </span>forças <span class="_0 blank"> </span>transmi<span class="_0 blank"> </span>tidas pelos <span class="_5 blank"> </span>amortecedores <span class="_0 blank"> </span>e <span class="_0 blank"> </span>molas <span class="_0 blank"> </span>em </div><div class="t m0 x1 h7 y1e ff2 fs4 fc0 sc0 ls0 ws0">regime permanente. Só relembrando, que regime permanente, aqui em vibrações </div><div class="t m0 x1 h7 y1f ff2 fs4 fc0 sc0 ls0 ws0">indica que o comportamento do sistema não muda com o tempo. </div><div class="t m0 x1 h7 y20 ff2 fs4 fc0 sc0 ls0 ws0">Vejamos um esquema na figura a seguir: </div></div><div class="pi" data-data='{"ctm":[1.000000,0.000000,0.000000,1.000000,0.000000,0.000000]}'></div></div> <div id="pf2" class="pf w0 h0" data-page-no="2"><div class="pc pc2 w0 h0"><img class="bi x0 y0 w1 h1" alt="" src="https://files.passeidireto.com/57d6f3f6-9a42-48f4-af32-5fee4402489e/bg2.png"><div class="t m0 x1 h2 y1 ff1 fs0 fc0 sc0 ls0 ws0"> </div><div class="t m0 x2 h2 y2 ff1 fs0 fc0 sc0 ls0 ws0">2 </div><div class="c x1 y3 w2 h3"><div class="t m0 x0 h2 y4 ff1 fs0 fc0 sc0 ls0 ws0"> </div></div><div class="t m0 x3 h7 y21 ff2 fs4 fc0 sc0 ls0 ws0">.<span class="_9 blank"> </span> </div><div class="t m0 x4 h8 y22 ff2 fs5 fc0 sc0 ls0 ws0">Figura 1: Esquema de <span class="_4 blank"></span>Isolamento de Vibrações </div><div class="t m0 x5 h7 y23 ff2 fs4 fc0 sc0 ls0 ws0">Veja <span class="_a blank"> </span>na <span class="_a blank"> </span>figura <span class="_a blank"> </span>que <span class="_a blank"> </span>a <span class="_a blank"> </span>força <span class="_a blank"> </span>gerada <span class="_a blank"> </span>pela <span class="_a blank"> </span>máquina <span class="_a blank"> </span>será <span class="_a blank"> </span>transmitida, <span class="_a blank"> </span>total<span class="_4 blank"></span> <span class="_a blank"> </span>ou </div><div class="t m0 x5 h7 y24 ff2 fs4 fc0 sc0 ls0 ws0">parcialmente para a base. </div><div class="t m0 x1 h7 y25 ff2 fs4 fc0 sc0 ls0 ws0">Amplitude <span class="_8 blank"> </span>das <span class="_8 blank"> </span>Forças nas <span class="_6 blank"> </span>mo<span class="_0 blank"> </span>las <span class="_8 blank"> </span>e <span class="_8 blank"> </span>nos amortecedores <span class="_6 blank"> </span>em regime <span class="_6 blank"> </span>permanente <span class="_3 blank"> </span>são </div><div class="t m0 x1 h7 y26 ff2 fs4 fc0 sc0 ls0 ws0">dados por: <span class="_b blank"> </span><span class="ff4 v1">\ue728</span></div><div class="t m0 x6 h9 y27 ff4 fs6 fc0 sc0 ls0 ws1">\uebe0\uebe2\uebdf\uebd4 <span class="fs4 ws2 v2">=<span class="_c blank"> </span>\ue747<span class="_0 blank"></span>. \ue754<span class="_d blank"> </span>=<span class="_c blank"> </span>\ue747<span class="_0 blank"></span>. \ue73a</span></div><div class="t m0 x7 ha y27 ff4 fs6 fc0 sc0 ls1">\uebe3<span class="fs4 ls0 ws3 v2">. \ue74f\ue741\ue74a<span class="ff5 ws0"> <span class="ff4 ws4 v3">(</span><span class="ff4 ws2">\ue7f1<span class="_0 blank"></span>. \ue750<span class="_e blank"> </span>\u2212<span class="_7 blank"> </span>\u2205<span class="ws4 v3">)</span></span><span class="ff2"> </span></span></span></div><div class="t m0 x8 hb y28 ff4 fs4 fc0 sc0 ls0">\ue728</div><div class="t m0 x9 hc y29 ff4 fs6 fc0 sc0 ls0 ws5">\uebd4\uebe0\uebe2\uebe5\uebe7\uebd8\uebd6\uebd8\uebd7\uebe2\uebe5 <span class="fs4 ws6 v2">=<span class="_c blank"> </span>\ue73f .<span class="_8 blank"> </span>\ue754<span class="_f blank"></span>\u0307<span class="_7 blank"> </span><span class="fs7 fc3 ls2 ws0"> </span><span class="ws2">=<span class="_c blank"> </span>\ue73f<span class="_0 blank"> </span>.<span class="_3 blank"> </span>\ue7f1<span class="_0 blank"></span>. \ue73a</span></span></div><div class="t m0 xa ha y29 ff4 fs6 fc0 sc0 ls3">\uebe3<span class="fs4 ls0 ws2 v2">. \ue73f\ue74b\ue74f<span class="ff5 ws0"> <span class="ff4 ws4 v3">(</span></span>\ue7f1<span class="_0 blank"></span>. \ue750<span class="_e blank"> </span>\u2212<span class="_7 blank"> </span>\u2205<span class="ws4 v3">)</span><span class="ff2 ws0"> </span></span></div><div class="t m0 x1 h7 y2a ff2 fs4 fc0 sc0 ls0 ws0">Onde: </div><div class="t m0 x5 hd y2b ff6 fs4 fc0 sc0 ls0 ws7">\uf0b7<span class="ff7 ls4 ws0"> <span class="ff2 ls0">F <span class="ff8 ls5">\uf0e0</span> A força na mola ou amortecedor, no SI é dada em N (Newtons); </span></span></div><div class="t m0 x5 hd y2c ff6 fs4 fc0 sc0 ls0 ws7">\uf0b7<span class="ff7 ls4 ws0"> <span class="ff2 ls0">k <span class="_7 blank"> </span><span class="ff8 ls5">\uf0e0</span> <span class="_e blank"> </span>A <span class="_e blank"> </span>r<span class="_0 blank"> </span>igidez, <span class="_e blank"> </span>constante <span class="_7 blank"> </span>de <span class="_e blank"> </span>mola <span class="_e blank"> </span>ou <span class="_e blank"> </span>elasticidade, <span class="_e blank"> </span>no <span class="_e blank"> </span>SI <span class="_e blank"> </span>é <span class="_e blank"> </span>dada <span class="_e blank"> </span>em <span class="_e blank"> </span>N/m </span></span></div><div class="t m0 xb h7 y2d ff2 fs4 fc0 sc0 ls0 ws0">(Newtons por metro); </div><div class="t m0 x5 hd y2e ff6 fs4 fc0 sc0 ls0 ws7">\uf0b7<span class="ff7 ls4 ws0"> <span class="ff2 ls0">x <span class="ff8 ls5">\uf0e0</span> O deslocamento, no SI é dado em m (metros); </span></span></div><div class="t m0 x5 hd y2f ff6 fs4 fc0 sc0 ls0 ws7">\uf0b7<span class="ff7 ls4 ws0"> <span class="ff2 ls5">X<span class="fs8 ls6 v4">p</span><span class="ff8">\uf0e0</span><span class="ls0"> A amplitude máxima de deslocamento, no SI é dada em m (metros); </span></span></span></div><div class="t m0 x5 hd y30 ff6 fs4 fc0 sc0 ls0 ws7">\uf0b7<span class="ff7 ls4 ws0"> </span>\uf077<span class="ff2 ls7 ws0"> <span class="ff8 ls5">\uf0e0</span><span class="ls0"> <span class="_2 blank"> </span>A <span class="_6 blank"> </span>frequência <span class="_2 blank"> </span>angular <span class="_6 blank"> </span>de <span class="_2 blank"> </span>excitação, <span class="_6 blank"> </span>no <span class="_2 blank"> </span>SI <span class="_6 blank"> </span>é <span class="_2 blank"> </span>dada <span class="_6 blank"> </span>em <span class="_2 blank"> </span>rad/s <span class="_6 blank"> </span>(radianos <span class="_2 blank"> </span>por </span></span></div><div class="t m0 xb h7 y31 ff2 fs4 fc0 sc0 ls0 ws0">segundo); </div><div class="t m0 x5 hd y32 ff6 fs4 fc0 sc0 ls0 ws7">\uf0b7<span class="ff7 ls4 ws0"> <span class="ff2 ls0">t <span class="ff8 ls5">\uf0e0</span> O tempo, no SI é dado em s (segundos); </span></span></div><div class="t m0 x5 hd y33 ff6 fs4 fc0 sc0 ls0 ws7">\uf0b7<span class="ff7 ls4 ws0"> </span>\uf066<span class="ff2 ws0"> <span class="ff8 ls5">\uf0e0</span> O ângulo de fase, no SI é dado em rad (radianos); </span></div><div class="t m0 x5 hd y34 ff6 fs4 fc0 sc0 ls0 ws7">\uf0b7<span class="ff7 ls4 ws0"> <span class="ff2 ls0">c <span class="_d blank"> </span><span class="ff8 ls5">\uf0e0</span> <span class="_a blank"> </span>O <span class="_d blank"> </span>coeficiente <span class="_a blank"> </span>de <span class="_d blank"> </span>amortecimento <span class="_d blank"> </span>viscosos, <span class="_a blank"> </span>no <span class="_d blank"> </span>SI <span class="_a blank"> </span>é <span class="_d blank"> </span>dado <span class="_a blank"> </span>em <span class="_d blank"> </span>N.s/m </span></span></div><div class="t m0 xb h7 y35 ff2 fs4 fc0 sc0 ls0 ws0">(Newtons vezes segundos por metro); </div><div class="t m0 x5 hb y36 ff6 fs4 fc0 sc0 ls0 ws7">\uf0b7<span class="ff7 ls4 ws0"> </span><span class="ff4 ws8">\ue754<span class="_f blank"></span>\u0307 <span class="ff2 ws0"> <span class="ff8 ls5">\uf0e0</span> A velocidade, no SI é dada por m/s (metros por segundo) </span></span></div><div class="t m0 x1 he y37 ff2 fs4 fc0 sc0 ls0 ws0">Tendo <span class="_1 blank"> </span>em <span class="_1 blank"> </span>vista <span class="_1 blank"> </span>que <span class="_1 blank"> </span>as <span class="_1 blank"> </span>forças <span class="_1 blank"> </span>de <span class="_1 blank"> </span>mola <span class="_1 blank"> </span>e <span class="_1 blank"> </span>de <span class="_1 blank"> </span>amortecimen<span class="_0 blank"> </span>to <span class="_1 blank"> </span>são <span class="_1 blank"> </span>ortogonais<span class="fs8 ls8 v5">1</span>, <span class="_1 blank"> </span>teremos </div><div class="t m0 x1 h7 y38 ff2 fs4 fc0 sc0 ls0 ws0">como a força total de transmitida F<span class="fs8 ws9 v4">tr</span>, a seguinte expressão: </div><div class="t m0 xc hb y39 ff4 fs4 fc0 sc0 ls9">|<span class="ls0 v6">\ue728</span></div><div class="t m0 xd hf y3a ff4 fs6 fc0 sc0 ls0 wsa">\uebe7\uebe5 <span class="fs4 lsa v7">|<span class="lsb v6">=<span class="ff5 ls0 ws0"> <span class="ff4 ws4 v8">\ueda7</span><span class="ff4">\ue728</span></span></span></span></div><div class="t m0 xe h9 y3a ff4 fs6 fc0 sc0 ls0 wsb">\uebe0\uebe2\uebdf\uebd4 <span class="lsc v9">\ueb36</span><span class="fs4 wsc v2">+ \ue728</span></div><div class="t m0 xf h10 y3a ff4 fs6 fc0 sc0 ls0 wsd">\uebd4\uebe0 <span class="lsd v9">\ueb36</span><span class="fs4 lsb v2">=<span class="ff5 ls0 ws0"> <span class="ff4 ws4 va">\ueda7</span><span class="ff4 ws2">\ued6b\ue747<span class="_0 blank"></span>. \ue73a</span></span></span></div><div class="t m0 x10 h11 y3a ff4 fs6 fc0 sc0 ls3">\uebe3<span class="fs4 ls5 v2">\ued6f</span><span class="lsc vb">\ueb36</span><span class="fs4 ls0 ws2 v2">+<span class="_7 blank"> </span>\ued6b\ue73f<span class="_0 blank"></span>. \ue7f1<span class="_0 blank"></span>. \ue73a</span></div><div class="t m0 x11 h11 y3a ff4 fs6 fc0 sc0 ls3">\uebe3<span class="fs4 ls5 v2">\ued6f</span><span class="lse vb">\ueb36</span><span class="fs4 ls0 ws2 v2">=<span class="_c blank"> </span>\ue747<span class="_0 blank"></span>. \ue73a</span></div><div class="t m0 x12 h12 y3a ff4 fs6 fc0 sc0 ls1">\uebe3<span class="fs4 lsf v2">.<span class="ls0 ws4 va">\ueda8</span><span class="ls0 wse">1 + \uf240<span class="ws2 vc">\ue73f<span class="_0 blank"></span>. \ue7f1</span></span></span></div><div class="t m0 x13 h13 y3b ff4 fs4 fc0 sc0 ls10">\ue747<span class="ls0 ws4 vd">\uf241</span><span class="fs6 ls11 ve">\ueb36</span><span class="ff5 ls0 ws0 vd"> </span></div><div class="t m0 x1 h2 y3c ff1 fs0 fc0 sc0 ls0 ws0"> <span class="_0 blank"> </span> <span class="_f blank"></span> </div><div class="t m0 x1 h14 y3d ff2 fs9 fc0 sc0 ls0 wsf">1<span class="fs5 ws0 vf"> Quando a força de mola <span class="_4 blank"></span>é máxima, temos velocidade ze<span class="_4 blank"></span>ro e consequentemente, f<span class="_4 blank"></span>orça de </span></div><div class="t m0 x1 h8 y3e ff2 fs5 fc0 sc0 ls0 ws0">amortecimento zero e vice e<span class="_4 blank"></span> versa. </div></div><div class="pi" data-data='{"ctm":[1.000000,0.000000,0.000000,1.000000,0.000000,0.000000]}'></div></div> <div id="pf3" class="pf w0 h0" data-page-no="3"><div class="pc pc3 w0 h0"><img fetchpriority="low" loading="lazy" class="bi x0 y0 w1 h1" alt="" src="https://files.passeidireto.com/57d6f3f6-9a42-48f4-af32-5fee4402489e/bg3.png"><div class="t m0 x1 h2 y1 ff1 fs0 fc0 sc0 ls0 ws0"> </div><div class="t m0 x2 h2 y2 ff1 fs0 fc0 sc0 ls0 ws0">3 </div><div class="c x1 y3 w2 h3"><div class="t m0 x0 h2 y4 ff1 fs0 fc0 sc0 ls0 ws0"> </div></div><div class="t m0 x1 h7 y3f ff2 fs4 fc0 sc0 ls0 ws0">Lembrando as definições de r, c e k: </div><div class="t m0 x14 h15 y40 ff4 fs4 fc0 sc0 ls0 ws10">\ue74e =<span class="_10 blank"> </span><span class="vc">\ue7f1</span></div><div class="t m0 x15 hb y41 ff4 fs4 fc0 sc0 ls0">\ue7f1</div><div class="t m0 x16 h16 y42 ff4 fs6 fc0 sc0 ls12">\uebe1<span class="fs4 ls13 ws0 vb"> <span class="ff5 ls0"> <span class="ff4 ws4 v3">|</span> <span class="ff4"> </span> <span class="ff4 ws2">\ue73f<span class="_d blank"> </span>=<span class="_c blank"> </span>2. \ue749. \ue7e6<span class="_5 blank"> </span>. <span class="ff6 ws7">\uf077</span></span></span></span><span class="ls14 vd">\uebe1</span><span class="ff5 fs4 ls0 ws0 vb"> <span class="ff4"> </span> <span class="ff4 ws4 v3">|</span> <span class="ff4"> \ue747<span class="_d blank"> </span>=<span class="_c blank"> </span>\ue749.<span class="_3 blank"> </span>\ue7f1</span></span></div><div class="t m0 x17 h17 y43 ff4 fs6 fc0 sc0 ls0">\uebe1</div><div class="t m0 x17 h17 y44 ff4 fs6 fc0 sc0 ls11">\ueb36<span class="ff2 fs4 ls0 ws0 v10"> </span></div><div class="t m0 x1 h7 y45 ff2 fs4 fc0 sc0 ls0 ws0">Onde: </div><div class="t m0 x5 hd y46 ff6 fs4 fc0 sc0 ls0 ws7">\uf0b7<span class="ff7 ls4 ws0"> <span class="ff2 ls0">r <span class="ff8 ls5">\uf0e0</span> A razão de frequências, sem unidades; </span></span></div><div class="t m0 x5 hb y47 ff6 fs4 fc0 sc0 ls0 ws7">\uf0b7<span class="ff7 ls4 ws0"> </span><span class="ff4">\ue7f1</span></div><div class="t m0 x18 h17 y48 ff4 fs6 fc0 sc0 ls15">\uebe1<span class="ff2 fs4 ls0 ws0 v2"> <span class="ff8 ls5">\uf0e0</span> A frequência angular natura, no SI é dada em rad/s (radianos por </span></div><div class="t m0 xb h7 y49 ff2 fs4 fc0 sc0 ls0 ws0">segundo); </div><div class="t m0 x5 hd y4a ff6 fs4 fc0 sc0 ls0 ws7">\uf0b7<span class="ff7 ls4 ws0"> <span class="ff2 ls0">m <span class="ff8 ls5">\uf0e0</span> A massa do sistema, no SI é dada em kg (quilogramas) </span></span></div><div class="t m0 x5 hd y4b ff6 fs4 fc0 sc0 ls0 ws7">\uf0b7<span class="ff7 ls4 ws0"> <span class="ff2 ls0">\u03be <span class="ff8 ls5">\uf0e0</span> O fator de amortecimento, sem unidades; </span></span></div><div class="t m0 x1 h7 y4c ff2 fs4 fc0 sc0 ls0 ws0">Assim temos: <span class="_11 blank"> </span><span class="ff4 ws4 v11">|<span class="v6">\ue728</span></span></div><div class="t m0 x19 ha y4d ff4 fs6 fc0 sc0 ls0 wsa">\uebe7\uebe5 <span class="fs4 lsa v7">|</span><span class="fs4 ws2 v2">=<span class="_c blank"> </span>\ue747<span class="_0 blank"></span>. \ue73a</span></div><div class="t m0 x1a ha y4d ff4 fs6 fc0 sc0 ls1">\uebe3<span class="fs4 lsf v2">.<span class="ls16 v0">\ueda5<span class="ls0 ws11 v6">1 + </span><span class="ls0 ws4 v0">(<span class="ws2 v6">2. \ue7e6<span class="_5 blank"> </span>. \ue74e<span class="_0 blank"></span></span><span class="ls13">)</span></span></span></span><span class="ls11 v12">\ueb36</span><span class="ff2 fs4 ls0 ws0 v2"> </span></div><div class="t m0 x1 h6 y4e ff3 fs3 fc1 sc0 ls0 ws0">Transmissibilidade Absoluta, T<span class="fs0 ws12 v13">R</span> </div><div class="t m0 x1 h7 y4f ff2 fs4 fc0 sc0 ls0 ws0">Vamos introduzir agora a definição de Transmissibilidade Absoluta, TR: </div><div class="t m0 x1b hb y50 ff4 fs4 fc0 sc0 ls0">\ue736</div><div class="t m0 x1c h18 y51 ff4 fs6 fc0 sc0 ls17">\uebcb<span class="fs4 ls18 v2">=<span class="ls0 ws4 v14">|<span class="v6">\ue728</span></span></span></div><div class="t m0 x1d ha y52 ff4 fs6 fc0 sc0 ls0 ws13">\uebcd\uebe5 <span class="fs4 v7">|</span></div><div class="t m0 x1e hb y53 ff4 fs4 fc0 sc0 ls0 ws4">|<span class="v6">\ue728</span></div><div class="t m0 x1f ha y54 ff4 fs6 fc0 sc0 ls0 ws14">\uebd8\uebeb\uebd6 <span class="fs4 ws4 v7">|<span class="ff2 ws0 v9"> </span></span></div><div class="t m0 x1 h7 y55 ff2 fs4 fc0 sc0 ls0 ws0">Onde: </div><div class="t m0 x5 hd y56 ff6 fs4 fc0 sc0 ls0 ws7">\uf0b7<span class="ff7 ls4 ws0"> <span class="ff2 ls0">FTR <span class="ff8 ls5">\uf0e0</span> Forças transmitidas; </span></span></div><div class="t m0 x5 hd y57 ff6 fs4 fc0 sc0 ls0 ws7">\uf0b7<span class="ff7 ls4 ws0"> <span class="ff2 ls0">Fexc <span class="ff8 ls5">\uf0e0</span> Forças de Excitação. </span></span></div><div class="t m0 x1 h7 y58 ff2 fs4 fc0 sc0 ls0 ws0">Vimos <span class="_1 blank"> </span>anteriormente <span class="_2 blank"> </span>que <span class="_2 blank"> </span>a <span class="_2 blank"> </span>amplitude <span class="_1 blank"> </span>da <span class="_2 blank"> </span>força <span class="_2 blank"> </span>de <span class="_1 blank"> </span>excitação <span class="_2 blank"> </span>pode <span class="_2 blank"> </span>s<span class="_0 blank"> </span>er <span class="_2 blank"> </span>calculada <span class="_1 blank"> </span>com </div><div class="t m0 x1 h7 y59 ff2 fs4 fc0 sc0 ls0 ws0">base na amplitude de vibração para regime permanente, c<span class="_4 blank"></span>omo: </div><div class="t m0 x20 hb y5a ff4 fs4 fc0 sc0 ls0 ws15">F = \ue747<span class="_0 blank"></span>.<span class="_8 blank"> </span>\ue73a</div><div class="t m0 x21 ha y5b ff4 fs6 fc0 sc0 ls3">\uebe3<span class="fs4 ls16 v2">\ueda5<span class="ls0 ws4 v0">(<span class="ws16 v6">1<span class="_7 blank"> </span>\u2212<span class="_7 blank"> </span>\ue74e </span></span></span><span class="ls19 v12">\ueb36</span><span class="fs4 ls0 ws4 v7">)</span><span class="lsc v12">\ueb36</span><span class="fs4 ls1a v2">+<span class="ls0 ws4 v3">(</span><span class="ls0 ws17">2.<span class="_8 blank"> </span>\ue7e6 .<span class="_8 blank"> </span>\ue74e <span class="ws4 v3">)</span></span></span><span class="ls1b v12">\ueb36</span><span class="ff2 fs4 ls0 ws0 v2"> </span></div><div class="t m0 x1 h7 y5c ff2 fs4 fc0 sc0 ls0 ws0">Assim, temos: </div><div class="t m0 x22 hb y5d ff4 fs4 fc0 sc0 ls0">\ue736</div><div class="t m0 x23 h18 y5e ff4 fs6 fc0 sc0 ls17">\uebcb<span class="fs4 ls1c v2">=<span class="ls16 vc">\ueda5<span class="ls0 ws11 v0">1 + <span class="ws4 v3">(</span><span class="ws2">2. \ue7e6<span class="_5 blank"> </span>. \ue74e<span class="_0 blank"></span><span class="ws4 v3">)</span><span class="fs6 v15">\ueb36</span></span></span></span></span></div><div class="t m0 x24 h19 y35 ff4 fs4 fc0 sc0 ls16">\ueda5<span class="ls0 ws4 v3">(</span><span class="ls0 ws16 v0">1<span class="_7 blank"> </span>\u2212<span class="_7 blank"> </span>\ue74e <span class="fs6 ls19 v15">\ueb36</span><span class="ws4 v3">)</span><span class="fs6 lsc v15">\ueb36</span><span class="ls1a">+</span><span class="ws4 v3">(</span><span class="ws17">2.<span class="_8 blank"> </span>\ue7e6 .<span class="_8 blank"> </span>\ue74e <span class="ws4 v3">)</span><span class="fs6 ls1b v15">\ueb36</span><span class="ff2 ws0"> <span class="v16"> </span></span></span></span></div><div class="t m0 x1 h7 y5f ff2 fs4 fc0 sc0 ls0 ws0">Importante <span class="_6 blank"> </span>destacar <span class="_8 blank"> </span>que <span class="_8 blank"> </span>F<span class="_0 blank"> </span><span class="fs8 ws9 v4">Tr</span> <span class="_8 blank"> </span>= <span class="_8 blank"> </span>T<span class="fs8 v4">r <span class="_8 blank"> </span></span>. <span class="_8 blank"> </span>F<span class="fs8 v4">exc <span class="_8 blank"> </span></span>, <span class="_8 blank"> </span>ou <span class="_8 blank"> </span>seja, <span class="_8 blank"> </span>a <span class="_8 blank"> </span>força <span class="_8 blank"> </span>de <span class="_8 blank"> </span>excitação <span class="_6 blank"> </span>é <span class="_8 blank"> </span>transmitida </div><div class="t m0 x1 h7 y60 ff2 fs4 fc0 sc0 ls0 ws0">proporcionalmente a <span class="_0 blank"> </span>transmissibilidade absoluta, <span class="_0 blank"> </span>T<span class="fs8 ls1d v4">r</span>, <span class="_0 blank"> </span>dessa forma, <span class="_0 blank"> </span>deseja-se <span class="_0 blank"> </span>que o <span class="_0 blank"> </span>seu </div><div class="t m0 x1 h7 y61 ff2 fs4 fc0 sc0 ls0 ws0">valor seja o mínimo possível. </div><div class="t m0 x1 h7 y62 ff2 fs4 fc0 sc0 ls0 ws0">Na prática, <span class="_7 blank"> </span>define-<span class="_0 blank"> </span>se a <span class="_7 blank"> </span><span class="fc1">transmissibilidade <span class="_7 blank"> </span>absoluta, <span class="_7 blank"> </span>Tr</span>, <span class="_7 blank"> </span>desejada <span class="_7 blank"> </span>ou <span class="_7 blank"> </span>aceitável e, <span class="_7 blank"> </span>a<span class="_0 blank"> </span> </div><div class="t m0 x1 h7 y63 ff2 fs4 fc0 sc0 ls0 ws0">partir dela, calcula-se r e as demais variáveis do sistema. </div><div class="t m0 x1 h7 y64 ff2 fs4 fc0 sc0 ls0 ws0">Semelhantemente ao <span class="_0 blank"> </span>que <span class="_0 blank"> </span>já <span class="_0 blank"> </span>foi <span class="_0 blank"> </span>apresentado <span class="_0 blank"> </span>com <span class="_0 blank"> </span>relação <span class="_0 blank"> </span>ao <span class="_0 blank"> </span>fator <span class="_0 blank"> </span>de <span class="_0 blank"> </span>ampliação M, <span class="_0 blank"> </span>na </div><div class="t m0 x1 h7 y65 ff2 fs4 fc0 sc0 ls0 ws0">aula <span class="_5 blank"> </span>9, <span class="_5 blank"> </span>podemos <span class="_5 blank"> </span>traçar <span class="_1 blank"> </span>um <span class="_5 blank"> </span>diagrama <span class="_5 blank"> </span>da <span class="_5 blank"> </span>transmissibilidade <span class="_1 blank"> </span>absoluta, <span class="_5 blank"> </span>Tr <span class="_5 blank"> </span>pela <span class="_1 blank"> </span>razão <span class="_5 blank"> </span>de </div></div><div class="pi" data-data='{"ctm":[1.000000,0.000000,0.000000,1.000000,0.000000,0.000000]}'></div></div> <div id="pf4" class="pf w0 h0" data-page-no="4"><div class="pc pc4 w0 h0"><img fetchpriority="low" loading="lazy" class="bi x0 y0 w1 h1" alt="" src="https://files.passeidireto.com/57d6f3f6-9a42-48f4-af32-5fee4402489e/bg4.png"><div class="t m0 x1 h2 y1 ff1 fs0 fc0 sc0 ls0 ws0"> </div><div class="t m0 x2 h2 y2 ff1 fs0 fc0 sc0 ls0 ws0">4 </div><div class="c x1 y3 w2 h3"><div class="t m0 x0 h2 y4 ff1 fs0 fc0 sc0 ls0 ws0"> </div></div><div class="t m0 x1 h7 y3f ff2 fs4 fc0 sc0 ls0 ws0">frequência, <span class="_0 blank"> </span>r, <span class="_0 blank"> </span>para <span class="_0 blank"> </span>diversos <span class="_0 blank"> </span>fatores <span class="_0 blank"> </span>de <span class="_0 blank"> </span>a<span class="_0 blank"> </span>mortecimento, <span class="_0 blank"> </span>\u03be, <span class="_0 blank"> </span>conforme <span class="_0 blank"> </span>ilustrado <span class="_0 blank"> </span>na <span class="_5 blank"> </span>figura </div><div class="t m0 x1 h7 y66 ff2 fs4 fc0 sc0 ls0 ws0">a seguir: </div><div class="t m0 x25 h7 y67 ff2 fs4 fc0 sc0 ls0 ws0"> </div><div class="t m0 x4 h1a y68 ff2 fs5 fc0 sc0 ls0 ws0">Figura 2 \u2013 Diagrama <span class="ff3 ws18">T<span class="fs9 ls5 v4">r</span></span> versus <span class="_4 blank"></span><span class="ff3 ws18">r<span class="ff2 ws0"> para diversos </span>\u03be<span class="ff2 ws0"> </span></span></div><div class="t m0 x1 h1b y69 ff2 fs4 fc0 sc0 ls0 ws0">Verificamos <span class="_0 blank"> </span>novamente, <span class="_5 blank"> </span>o <span class="_0 blank"> </span>efeito <span class="_5 blank"> </span>de <span class="_0 blank"> </span>ressonância <span class="_5 blank"> </span>para <span class="_0 blank"> </span>razão <span class="_5 blank"> </span>de <span class="_5 blank"> </span>frequência <span class="_5 blank"> </span><span class="ff3 ws19">r</span> <span class="_5 blank"> </span>igual <span class="_5 blank"> </span>a <span class="_0 blank"> </span>1 <span class="_5 blank"> </span>e </div><div class="t m0 x1 h7 y6a ff2 fs4 fc0 sc0 ls0 ws0">fatores <span class="_6 blank"> </span>de <span class="_6 blank"> </span>amortecimento <span class="_6 blank"> </span>\u03be <span class="_6 blank"> </span>baixos. <span class="_6 blank"> </span>No <span class="_6 blank"> </span>entanto, <span class="_6 blank"> </span>o <span class="_8 blank"> </span>que <span class="_6 blank"> </span>nos <span class="_6 blank"> </span>interes<span class="_0 blank"> </span>sa <span class="_6 blank"> </span>para <span class="_6 blank"> </span>efeito <span class="_6 blank"> </span>de </div><div class="t m0 x1 hb y6b ff2 fs4 fc0 sc0 ls0 ws0">isolamento <span class="_6 blank"> </span>é <span class="_6 blank"> </span>se <span class="_8 blank"> </span><span class="ff4">\ue736</span></div><div class="t m0 x26 h9 y6c ff4 fs6 fc0 sc0 ls17">\uebcb<span class="fs4 ls0 ws1a v2">< 1<span class="ff2 ws0">, <span class="_6 blank"> </span>o <span class="_8 blank"> </span>que <span class="_6 blank"> </span>podemos <span class="_6 blank"> </span>observar <span class="_8 blank"> </span>para <span class="_6 blank"> </span><span class="ff4 ws1b">\ue74e<span class="_d blank"> </span>> <span class="ws4 v6">\u221a</span><span class="ls5">2</span></span>. <span class="_6 blank"> </span>Nessas <span class="_8 blank"> </span>situações, <span class="_6 blank"> </span>a </span></span></div><div class="t m0 x1 h7 y6d ff2 fs4 fc1 sc0 ls5">F<span class="fs8 ls0 ws9 v4">transmitida</span><span class="ls0 ws0"> < F<span class="fs8 ws9 v4">gerada<span class="fc0 ls16 ws0"> </span></span><span class="fc0">e estamos na chamada, </span>Faixa de Isolamento<span class="fc0">. </span></span></div><div class="t m0 x1 hb y6e ff2 fs4 fc0 sc0 ls0 ws0">Por <span class="_8 blank"> </span>outro <span class="_8 blank"> </span>lado, <span class="_8 blank"> </span>se <span class="_8 blank"> </span><span class="ff4 ws1b">\ue74e < <span class="ws4 v6">\u221a</span><span class="ls5">2</span></span>, <span class="_8 blank"> </span>teremos <span class="_8 blank"> </span><span class="ff4">\ue736</span></div><div class="t m0 x27 h9 y6f ff4 fs6 fc0 sc0 ls17">\uebcb<span class="fs4 ls0 ws1a v2">> 1<span class="ff2 ws0">, <span class="_8 blank"> </span>ou <span class="_8 blank"> </span>seja, <span class="_8 blank"> </span>teremos <span class="_6 blank"> </span>ampliação <span class="_8 blank"> </span>da <span class="_8 blank"> </span>força <span class="_8 blank"> </span>e </span></span></div><div class="t m0 x1 h7 y70 ff2 fs4 fc0 sc0 ls0 ws0">estaremos na <span class="fc1">Faixa de Ampliação</span>. </div><div class="t m0 x1 h7 y71 ff2 fs4 fc0 sc0 ls0 ws0">Para ilustrar o conteúdo apresentado, vamos a um exercíci<span class="_4 blank"></span>o resolvido. </div><div class="t m0 x1 h6 y72 ff3 fs3 fc1 sc0 ls0 ws0">Exercício Resolvido: Isolamento Ativo </div><div class="t m0 x1 h7 y73 ff2 fs4 fc0 sc0 ls0 ws0">Um <span class="_5 blank"> </span>ventilador <span class="_0 blank"> </span>tem <span class="_5 blank"> </span>massa <span class="_5 blank"> </span>de <span class="_5 blank"> </span>500 <span class="_5 blank"> </span>(kg) <span class="_5 blank"> </span>e <span class="_5 blank"> </span>tem <span class="_5 blank"> </span>um <span class="_5 blank"> </span>desbalanceamento <span class="_0 blank"> </span>m<span class="_5 blank"> </span><span class="fs8 ls1e v4">o</span>d <span class="_5 blank"> </span>= <span class="_5 blank"> </span>5,8 <span class="_0 blank"> </span>(kg.m). </div><div class="t m0 x1 h7 y74 ff2 fs4 fc0 sc0 ls0 ws0">Calcule <span class="_12 blank"> </span>a <span class="_10 blank"> </span>rigidez <span class="_12 blank"> </span>de <span class="_12 blank"> </span>mola <span class="_12 blank"> </span>necessário <span class="_12 blank"> </span>para <span class="_12 blank"> </span>que <span class="_12 blank"> </span>some<span class="_0 blank"> </span>nte <span class="_10 blank"> </span>10% <span class="_12 blank"> </span>da <span class="_12 blank"> </span>força <span class="_12 blank"> </span>de<span class="_0 blank"> </span> </div><div class="t m0 x1 h7 y75 ff2 fs4 fc0 sc0 ls0 ws0">desbalanceamento <span class="_a blank"> </span>se<span class="_0 blank"> </span>ja <span class="_a blank"> </span>transmitida <span class="_13 blank"> </span>para <span class="_13 blank"> </span>o <span class="_a blank"> </span>chão, <span class="_13 blank"> </span>considerando <span class="_a blank"> </span>que <span class="_13 blank"> </span>são <span class="_a blank"> </span>usados </div><div class="t m0 x1 h7 y76 ff2 fs4 fc0 sc0 ls0 ws0">amortecedores <span class="_10 blank"> </span>com <span class="_14 blank"> </span>fator <span class="_14 blank"> </span>de <span class="_10 blank"> </span>amortecimento <span class="_10 blank"> </span>\u03be <span class="_14 blank"> </span>= <span class="_10 blank"> </span>0,2. <span class="_14 blank"> </span>Determine <span class="_10 blank"> </span>também <span class="_14 blank"> </span>a </div><div class="t m0 x1 h7 y77 ff2 fs4 fc0 sc0 ls0 ws0">intensidade da força transmitida. Considerar a rotação desse venti<span class="_4 blank"></span>lador em 1000 RPM. </div><div class="t m0 x1 h7 y78 ff2 fs4 fc1 sc0 ls0 ws1c">Resolução:<span class="fc0 ws0"> </span></div><div class="t m0 x1 h1b y79 ff2 fs4 fc0 sc0 ls0 ws0">Calculando a <span class="fc1">frequência de excitação, <span class="ff6 ws7">\uf077<span class="ff3 ls1f">:</span></span></span> </div><div class="t m0 x28 h1c y7a ff4 fs4 fc0 sc0 ls0 ws15">\ue7f1<span class="_c blank"> </span>= \ue734\ue74b\ue750\ue73d<span class="ff5 ws1c">çã</span><span class="ws3">\ue74b<span class="_0 blank"> </span>. <span class="fs6 ws1d v17">\ueb36\uec17</span></span></div><div class="t m0 x21 h1d y7b ff4 fs6 fc0 sc0 ls0 ws1e">\ueb3a\ueb34 <span class="ff2 fs4 ws0 v12"> <span class="ff4 ws2">=<span class="_c blank"> </span>1000. </span></span><span class="ws1d v18">\ueb36\uec17</span></div><div class="t m0 x29 h1e y7b ff4 fs6 fc0 sc0 ls0 ws1f">\ueb3a\ueb34 <span class="fs4 ws20 v12">=<span class="_c blank"> </span>\ueada\uead9\ueadd, \ueae0<span class="ff9 ws0"> <span class="ff3 ws19">(rad/s)</span><span class="ff2"> </span></span></span></div><div class="t m0 x1 h7 y7c ff2 fs4 fc0 sc0 ls0 ws0">Para Tr = 10% e \u03be = 0,2, temos: </div><div class="t m0 x2a hb y7d ff4 fs4 fc0 sc0 ls0">\ue736</div><div class="t m0 x2b h1f y7e ff4 fs6 fc0 sc0 ls17">\uebcb<span class="fs4 ls20 v2">=</span><span class="ls0 ws1d v14">\ueda5<span class="v0">\ueb35\ueb3e<span class="ls21 v3">(</span><span class="ws21">\ueb36.\uec15 .\uebe5 <span class="ls21 v3">)</span><span class="fsa v2">\uec2e</span></span></span></span></div><div class="t m0 x2c h20 y7f ff4 fs6 fc0 sc0 ls0 ws1d">\ueda5<span class="ls21 v0">(</span><span class="ws22 v0">\ueb35\ueb3f\uebe5 <span class="fsa ls22 v2">\uec2e</span></span><span class="v0">)<span class="fsa ls22 v2">\uec2e</span><span class="v6">\ueb3e</span><span class="ls21">(</span><span class="ws21 v6">\ueb36.\uec15.\uebe5 </span><span class="ls21">)<span class="fsa ls23 v2">\uec2e</span></span><span class="ff2 ws0 v6"> </span></span></div><div class="t m1 x2d h21 y7d ff8 fsb fc0 sc0 ls0">\uf0e0</div><div class="t m2 x2e h22 y7d ff5 fs4 fc0 sc0 ls24 ws0"> <span class="ff4 fs6 ls0 ws1d v17">\ueda5<span class="v6">\ueb35\ueb3e<span class="ls21 v3">(</span><span class="ws21">\ueb36.\ueb34,\ueb36.\uebe5<span class="ls21 v3">)</span><span class="fsa v2">\uec2e</span></span></span></span></div><div class="t m0 x19 h23 y7f ff4 fs6 fc0 sc0 ls25">\ueda5<span class="ls21 v0">(<span class="ls0 ws22 v6">\ueb35\ueb3f\uebe5 </span><span class="fsa ls23 v2">\uec2e</span>)<span class="fsa ls23 v2">\uec2e</span><span class="ls0 ws1d v6">\ueb3e</span>(<span class="ls0 ws21 v6">\ueb36.\ueb34,\ueb36.\uebe5</span>)<span class="fsa ls23 v2">\uec2e</span><span class="ff5 ls0 ws0 v6"> </span></span></div><div class="t m0 x2f h24 y7d ff5 fs4 fc0 sc0 ls0 ws0"> = 0,1 </div><div class="t m1 x30 h21 y7d ff8 fsb fc0 sc0 ls0">\uf0e0</div><div class="t m2 x31 h25 y7d ff5 fs4 fc0 sc0 ls26 ws0"> <span class="ff4 fs6 ls0 ws1d v19">\ueda5<span class="ws22 v6">\ueb35\ueb3e\ueb34,\ueb35\ueb3a\uebe5 <span class="fsa v2">\uec2e</span></span></span></div><div class="t m0 x11 h26 y7f ff4 fs6 fc0 sc0 ls0 ws1d">\ueda5<span class="ws22 v6">\ueb35\ueb3f\ueb36\uebe5 </span><span class="fsa ls23 v1a">\uec2e</span><span class="ws22 v6">\ueb3e\uebe5 </span><span class="fsa ls23 v1a">\uec30</span><span class="ws22 v6">\ueb3e\ueb34,\ueb35\ueb3a\uebe5 </span><span class="fsa ls23 v1a">\uec2e</span><span class="ff2 ls27 ws0 v6"> </span><span class="fs4 ws15 v1b">= 0,1<span class="ff2 ws0"> </span></span></div><div class="t m0 x1 h7 y80 ff2 fs4 fc0 sc0 ls0 ws0">Fazendo <span class="_15 blank"> </span>manipulações <span class="_15 blank"> </span>matemáticas, <span class="_15 blank"> </span>caímos <span class="_15 blank"> </span>numa <span class="_15 blank"> </span>equação <span class="_15 blank"> </span>biquadrática. </div><div class="t m0 x1 h7 y81 ff2 fs4 fc0 sc0 ls0 ws0">Resolvendo-a, <span class="_6 blank"> </span>obtemos <span class="_6 blank"> </span>duas <span class="_8 blank"> </span>raízes <span class="_6 blank"> </span>imaginárias, <span class="_8 blank"> </span>uma <span class="_6 blank"> </span>negativa <span class="_6 blank"> </span>e <span class="_6 blank"> </span>uma <span class="_8 blank"> </span>positiva. <span class="_6 blank"> </span>Esta </div></div><div class="pi" data-data='{"ctm":[1.000000,0.000000,0.000000,1.000000,0.000000,0.000000]}'></div></div> <div id="pf5" class="pf w0 h0" data-page-no="5"><div class="pc pc5 w0 h0"><img fetchpriority="low" loading="lazy" class="bi x0 y0 w1 h1" alt="" src="https://files.passeidireto.com/57d6f3f6-9a42-48f4-af32-5fee4402489e/bg5.png"><div class="t m0 x1 h2 y1 ff1 fs0 fc0 sc0 ls0 ws0"> </div><div class="t m0 x2 h2 y2 ff1 fs0 fc0 sc0 ls0 ws0">5 </div><div class="c x1 y3 w2 h3"><div class="t m0 x0 h2 y4 ff1 fs0 fc0 sc0 ls0 ws0"> </div></div><div class="t m0 x1 h7 y3f ff2 fs4 fc0 sc0 ls0 ws0">última é <span class="_0 blank"> </span>a única <span class="_0 blank"> </span>que faz <span class="_0 blank"> </span>sendo físico <span class="_0 blank"> </span>para a <span class="_5 blank"> </span><span class="fc1">transmissibilidade absoluta, <span class="_0 blank"> </span>T<span class="fs8 ls1d v4">r</span></span>, <span class="_0 blank"> </span>no caso, <span class="_0 blank"> </span>r = </div><div class="t m0 x1 h7 y66 ff2 fs4 fc0 sc0 ls0 ws0">4,7. </div><div class="t m0 x1 hb y82 ff2 fs4 fc0 sc0 ls0 ws0">Como <span class="ff4 ws1a">r > <span class="ws4 v6">\u221a</span><span class="ls5">2</span></span>, estamos na faixa de isolamento. </div><div class="t m0 x1 hb y83 ff2 fs4 fc0 sc0 ls0 ws0">Calculando a <span class="fc1">frequência angular, <span class="ff4">\ue7f1</span></span></div><div class="t m0 x21 h17 y84 ff4 fs6 fc1 sc0 ls15">\uebe1<span class="ff3 fs4 ls28 v2">:<span class="ff2 fc0 ls0 ws0"> </span></span></div><div class="t m0 x1 h1c y85 ff2 fs4 fc0 sc0 ls0 ws0">Temos que <span class="ff4 ws10">\ue74e =<span class="_14 blank"> </span><span class="fs6 v17">\uec20</span></span></div><div class="t m0 x32 h1e y86 ff4 fs6 fc0 sc0 ls0 ws1d">\uec20<span class="fsa ls29 v13">\uecd9</span><span class="ff2 fs4 ws0 v12">. Isolando <span class="ff4">\ue7f1</span></span></div><div class="t m0 x22 h17 y87 ff4 fs6 fc0 sc0 ls15">\uebe1<span class="ff2 fs4 ls0 ws0 v2">, vem: </span></div><div class="t m0 x6 hb y88 ff4 fs4 fc0 sc0 ls0">\ue7f1</div><div class="t m0 x2d h12 y89 ff4 fs6 fc0 sc0 ls2a">\uebe1<span class="fs4 lsb v2">=<span class="ls0 vc">\ue7f1</span></span></div><div class="t m0 x33 h27 y8a ff4 fs4 fc0 sc0 ls2b">\ue74e<span class="lsb vd">=</span><span class="ls0 ws4 v1c">104,7</span></div><div class="t m0 x1c h28 y8a ff4 fs4 fc0 sc0 ls0 ws23">4,7 <span class="ws0 vd">=<span class="_c blank"> </span>22,3 (\ue74e\ue73d\ue740<span class="_0 blank"> </span>/\ue74f<span class="_0 blank"></span>)<span class="ff5"> </span></span></div><div class="t m0 x1 h7 y8b ff2 fs4 fc0 sc0 ls0 ws0">Calculando a <span class="fc1">rigidez, k</span>: </div><div class="t m0 x1 h7 y8c ff2 fs4 fc0 sc0 ls0 ws0">Temos que: <span class="_16 blank"> </span><span class="ff4 ws15 v1">\ue747<span class="_d blank"> </span>= \ue749</span><span class="v1">. <span class="ff4">\ue7f1</span></span></div><div class="t m0 x2e h9 y8d ff4 fs6 fc0 sc0 ls2c">\uebe1<span class="fs4 ls0 ws2 v2">=<span class="_c blank"> </span>500. 22,3</span><span class="lse v17">\ueb36</span><span class="fs4 ls0 ws0 v2">=<span class="_c blank"> </span>248.645 (\ue730<span class="_0 blank"></span>/\ue749<span class="_0 blank"></span>)<span class="ff2"> </span></span></div><div class="t m0 x1 h7 y8e ff2 fs4 fc0 sc0 ls0 ws0">Por fim, podemos calcular a <span class="fc1">força Transmitida</span>: </div><div class="t m0 x1 hb y8f ff2 fs4 fc0 sc0 ls0 ws0">Temos que: <span class="ff4">\ue736</span></div><div class="t m0 x34 h1f y90 ff4 fs6 fc0 sc0 ls17">\uebcb<span class="fs4 ls2d v2">=</span><span class="ls2e v1d">|</span><span class="ls2f v14">\uebbf</span><span class="fsa ls0 ws24 v9">\uecc5\uecdd </span><span class="ls0 v1d">|</span></div><div class="t m0 x35 h17 y91 ff4 fs6 fc0 sc0 ls2e">|<span class="ls0 v6">\uebbf</span></div><div class="t m0 x36 h29 y92 ff4 fsa fc0 sc0 ls0 ws25">\uecd0\uece3\uecce <span class="fs6 ws1d v1a">|</span><span class="ff2 fs4 ws0 v9">. </span></div><div class="t m0 x1 hb y93 ff2 fs4 fc0 sc0 ls0 ws0">Isolando <span class="ff4">\ue728</span></div><div class="t m0 x37 h17 y94 ff4 fs6 fc0 sc0 ls0 ws26">\uebcd\uebe5 <span class="ff2 fs4 ws0 v2">, e considerando a força de excitação por desbalanceamento, vem: </span></div><div class="t m0 x38 hb y95 ff4 fs4 fc0 sc0 ls0 ws27">\u2192 \ue728</div><div class="t m0 x39 h9 y96 ff4 fs6 fc0 sc0 ls0 ws28">\uebcd\uebe5 <span class="fs4 ws15 v2">= \ue736</span></div><div class="t m0 x3a h9 y96 ff4 fs6 fc0 sc0 ls30">\uebcb<span class="fs4 ls0 ws3 v2">. \ue728</span></div><div class="t m0 x3b h9 y96 ff4 fs6 fc0 sc0 ls0 ws29">\uebd8\uebeb\uebd6 <span class="fs4 ws2 v2">=<span class="_c blank"> </span>0,1. \ue749</span><span class="ls31">\uebe2</span><span class="fs4 ws2 v2">\ue740<span class="_0 blank"></span>. \ue7f1<span class="_0 blank"></span></span><span class="ls32 v17">\ueb36</span><span class="fs4 ws20 v2">=<span class="_c blank"> </span>0,1.5,8. 104,7</span><span class="lse v17">\ueb36</span><span class="fs4 ws0 v2">=<span class="_c blank"> </span>6358 (\ue730<span class="_0 blank"> </span>)<span class="ff5"> </span></span></div><div class="t m0 x1 h7 y97 ff2 fs4 fc0 sc0 ls0 ws0">Chegando assim ao resultado desejado. </div><div class="t m0 x1 h2a y98 ff2 fs0 fc0 sc0 ls0 ws0"> <span class="_17 blank"> </span> </div><div class="t m0 x1 h2 y99 ff1 fs0 fc0 sc0 ls0 ws0"> </div></div><div class="pi" data-data='{"ctm":[1.000000,0.000000,0.000000,1.000000,0.000000,0.000000]}'></div></div>
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