PLANILHA CÁLCULO AMORTECIMENTO

Esta é uma pré-visualização de arquivo. Entre para ver o arquivo original

EXERCÍCIO_01
	Calcule e trace a resposta de um sistema massa-moa para uma amplitude de força de 2,3 N, frequência de natural igual a duas vezes a frequência de excitação e condições iniciais dadas por x0 = 0 m e v0 = 0,2 m/s. A massa do sistema é de 10 kg e a rigidez da mola é de 1.000 N/m.
	Descrição	Variável	Valor
	Força (N)	2.3
	Deslocamento (m)	0.00
	Velocidade (m/s)	0.2
	Massa (kg)	10.0
	Rigidez da Mola (N/m)	1,000.0
	Descrição	Variável	Fórmula/ Condição	Valor
	Frequência Natural (rad/s)	10.0000000000
	Frequência Excitação (rad/s)	20.0000000000
	Constante de Interação (m)	0.0200000000
	0.0076666667
	Tabela: Tempo x Deslocamento
	Tempo (s)	Deslocamento (m)
	0.00	0.00
	0.01	0.00
	0.02	0.00
	0.03	0.01
	0.04	0.01
	0.05	0.01
	0.06	0.01
	0.07	0.02
	0.08	0.02
	0.09	0.02
	0.10	0.02
	0.11	0.03
	0.12	0.03
	0.13	0.03
	0.14	0.03
	0.15	0.03
	0.16	0.03
	0.17	0.03
	0.18	0.02
	0.19	0.02
	0.20	0.02
	0.21	0.02
	0.22	0.01
	0.23	0.01
	0.24	0.01
	0.25	0.00
	0.26	0.00
	0.27	-0.00
	0.28	-0.01
	0.29	-0.01
	0.30	-0.01
	0.31	-0.01
	0.32	-0.02
	0.33	-0.02
	0.34	-0.02
	0.35	-0.02
	0.36	-0.02
	0.37	-0.02
	0.38	-0.02
	0.39	-0.02
	0.40	-0.02
	0.41	-0.02
	0.42	-0.02
	0.43	-0.02
	0.44	-0.02
	0.45	-0.01
	0.46	-0.01
	0.47	-0.01
	0.48	-0.01
	0.49	-0.01
	0.50	-0.01
	0.51	-0.01
	0.52	-0.01
	0.53	-0.01
	0.54	-0.01
	0.55	-0.01
	0.56	-0.01
	0.57	-0.01
	0.58	-0.01
	0.59	-0.01
	0.60	-0.00
	0.61	-0.00
	0.62	-0.00
	0.63	0.00
	0.64	0.00
	0.65	0.00
	0.66	0.01
	0.67	0.01
	0.68	0.01
	0.69	0.02
	0.70	0.02
	0.71	0.02
	0.72	0.02
	0.73	0.02
	0.74	0.03
	0.75	0.03
	0.76	0.03
	0.77	0.03
	0.78	0.03
	0.79	0.03
	0.80	0.03
	0.81	0.02
	0.82	0.02
	0.83	0.02
	0.84	0.02
	0.85	0.01
	0.86	0.01
	0.87	0.01
	0.88	0.00
	0.89	-0.00
	0.90	-0.00
	0.91	-0.01
	0.92	-0.01
	0.93	-0.01
	0.94	-0.01
	0.95	-0.02
	0.96	-0.02
	0.97	-0.02
	0.98	-0.02
	0.99	-0.02
	1.00	-0.02
	1.01	-0.02
	1.02	-0.02
	1.03	-0.02
	1.04	-0.02
	1.05	-0.02
	1.06	-0.02
	1.07	-0.02
	1.08	-0.01
	1.09	-0.01
	1.10	-0.01
	1.11	-0.01
	1.12	-0.01
	1.13	-0.01
	1.14	-0.01
	1.15	-0.01
	1.16	-0.01
	1.17	-0.01
	1.18	-0.01
	1.19	-0.01
	1.20	-0.01
	1.21	-0.01
	1.22	-0.01
	1.23	-0.00
	1.24	-0.00
	1.25	-0.00
	1.26	0.00
	1.27	0.00
	1.28	0.01
	1.29	0.01
	1.30	0.01
	1.31	0.01
	1.32	0.02
	1.33	0.02
	1.34	0.02
	1.35	0.02
	1.36	0.02
	1.37	0.03
	1.38	0.03
	1.39	0.03
	1.40	0.03
	1.41	0.03
	1.42	0.03
	1.43	0.03
	1.44	0.02
	1.45	0.02
	1.46	0.02
	1.47	0.02
	1.48	0.01
	1.49	0.01
	1.50	0.01
	1.51	0.00
	1.52	-0.00
	1.53	-0.00
	1.54	-0.01
	1.55	-0.01
	1.56	-0.01
	1.57	-0.02
	1.58	-0.02
	1.59	-0.02
	1.60	-0.02
	1.61	-0.02
	1.62	-0.02
	1.63	-0.02
	1.64	-0.02
	1.65	-0.02
	1.66	-0.02
	1.67	-0.02
	1.68	-0.02
	1.69	-0.02
	1.70	-0.01
	1.71	-0.01
	1.72	-0.01
	1.73	-0.01
	1.74	-0.01
	1.75	-0.01
	1.76	-0.01
	1.77	-0.01
	1.78	-0.01
	1.79	-0.01
	1.80	-0.01
	1.81	-0.01
	1.82	-0.01
	1.83	-0.01
	1.84	-0.01
	1.85	-0.01
	1.86	-0.00
	1.87	-0.00
	1.88	-0.00
	1.89	0.00
	1.90	0.00
	1.91	0.01
	1.92	0.01
	1.93	0.01
	1.94	0.01
	1.95	0.02
	1.96	0.02
	1.97	0.02
	1.98	0.02
	1.99	0.03
	2.00	0.03
	2.01	0.03
	2.02	0.03
	2.03	0.03
	2.04	0.03
	2.05	0.03
	2.06	0.03
	2.07	0.02
	2.08	0.02
	2.09	0.02
	2.10	0.02
	2.11	0.01
	2.12	0.01
	2.13	0.01
	2.14	0.00
	2.15	-0.00
	2.16	-0.00
	2.17	-0.01
	2.18	-0.01
	2.19	-0.01
	2.20	-0.02
	2.21	-0.02
	2.22	-0.02
	2.23	-0.02
	2.24	-0.02
	2.25	-0.02
	2.26	-0.02
	2.27	-0.02
	2.28	-0.02
	2.29	-0.02
	2.30	-0.02
	2.31	-0.02
	2.32	-0.02
	2.33	-0.01
	2.34	-0.01
	2.35	-0.01
	2.36	-0.01
	2.37	-0.01
	2.38	-0.01
	2.39	-0.01
	2.40	-0.01
	2.41	-0.01
	2.42	-0.01
	2.43	-0.01
	2.44	-0.01
	2.45	-0.01
	2.46	-0.01
	2.47	-0.01
	2.48	-0.01
	2.49	-0.00
	2.50	-0.00
	2.51	-0.00
	2.52	0.00
	2.53	0.00
	2.54	0.01
	2.55	0.01
	2.56	0.01
	2.57	0.01
	2.58	0.02
	2.59	0.02
	2.60	0.02
	2.61	0.02
	2.62	0.03
	2.63	0.03
	2.64	0.03
	2.65	0.03
	2.66	0.03
	2.67	0.03
	2.68	0.03
	2.69	0.03
	2.70	0.02
	2.71	0.02
	2.72	0.02
	2.73	0.02
	2.74	0.01
	2.75	0.01
	2.76	0.00
	2.77	0.00
	2.78	-0.00
	2.79	-0.01
	2.80	-0.01
	2.81	-0.01
	2.82	-0.01
	2.83	-0.02
	2.84	-0.02
	2.85	-0.02
	2.86	-0.02
	2.87	-0.02
	2.88	-0.02
	2.89	-0.02
	2.90	-0.02
	2.91	-0.02
	2.92	-0.02
	2.93	-0.02
	2.94	-0.02
	2.95	-0.02
	2.96	-0.01
	2.97	-0.01
	2.98	-0.01
	2.99	-0.01
	3.00	-0.01
EXERCÍCIO_02
	Determine a equação do movimento para o sistema vibratório amortecido mostrado. Que tipo de movimento ocorre? Dados: deslocamento inicial igual à 0 e velocidade inicial de 2 m/s.	RESOLUÇÃO
	Variável	Descrição	Valor	Qtd	Valor total
	Deslocamento inical (m)	0.00
	Velocidade inical (m/s)	2.0
	Massa (kg)	25.0
	Rigidez da mola (N/m)	100.0	1	100.0
	Coeficiente de amortecimento viscoso (N⋅s/m)	200.0	2	400.0
	Variável	Descrição	Fórmula	Valor
	raíz 1 da equação diferencial (s-1)	-0.2540333076
	raíz 2 da equação diferencial (s-1)	-15.7459666924
	Variável	Descrição	Fórmula	Valor
	Coeficiente de amortecimento crítico (Ns/m)	100.00000
	Fator de amorteciemento	4.00000	SUPERAMORTECIDO Sistema não oscila
	Frequência natural (rad/s)	2.00000
	Constante de interação (m)	-0.12909944
	Constante de interação (m)	0.12909944
	Tabela de Tempo x Deslocamento
	Equação diferencial:	Tempo (s)	Deslocamento (m)
	Equação do deslocamento:
	0.000	36.954
	0.001	36.646
	0.002	36.342
	0.003	36.039
	0.004	35.739
	0.005	35.442
	0.006	35.147
	0.007	34.855
	0.008	34.565
	0.009	34.277
	0.010	33.992
	0.011	33.709
	0.012	33.429
	0.013	33.151
	0.014	32.875
	0.015	32.602
	0.016	32.330
	0.017	32.062
	0.018	31.795
	0.019	31.530
	0.020	31.268
	0.021	31.008
	0.022	30.750
	0.023	30.494
	0.024	30.240
	0.025	29.989
	0.026	29.739
	0.027	29.492
	0.028	29.247
	0.029	29.003
	0.030	28.762
	0.031	28.523
	0.032	28.285
	0.033	28.050
	0.034	27.817
	0.035	27.585
	0.036	27.356
	0.037	27.128
	0.038	26.902
	0.039	26.679
	0.040	26.457
	0.041	26.237
	0.042	26.018
	0.043	25.802
	0.044	25.587
	0.045	25.374
	0.046	25.163
	0.047	24.954
	0.048	24.746
	0.049	24.540
	0.050	24.336
	0.051	24.134
	0.052	23.933
	0.053	23.734
	0.054	23.536
	0.055	23.341
	0.056	23.146
	0.057	22.954
	0.058	22.763
	0.059	22.573
	0.060	22.386
	0.061	22.199
	0.062	22.015
	0.063	21.831
	0.064	21.650
	0.065	21.470
	0.066	21.291
	0.067	21.114
	0.068	20.938
	0.069	20.764
	0.070	20.591
	0.071	20.420
	0.072	20.250
	0.073	20.082
	0.074	19.914
	0.075	19.749
	0.076	19.584
	0.077	19.421
	0.078	19.260
	0.079	19.100
	0.080	18.941
	0.081	18.783
	0.082	18.627
	0.083	18.472
	0.084	18.318
	0.085	18.166
	0.086	18.015
	0.087	17.865
	0.088	17.716
	0.089	17.569
	0.090	17.422
	0.091	17.277
	0.092	17.134
	0.093	16.991
	0.094	16.850
	0.095	16.710
	0.096	16.571
	0.097	16.433
	0.098	16.296
	0.099	16.160
	0.100	16.026
	0.101	15.892
	0.102	15.760
	0.103	15.629
	0.104	15.499
	0.105	15.370
	0.106	15.242
	0.107	15.115
	0.108	14.990
	0.109	14.865
	0.110	14.741
	0.111	14.618
	0.112	14.497
	0.113	14.376
	0.114	14.257
	0.115	14.138
	0.116	14.020
	0.117	13.904
	0.118	13.788
	0.119	13.673
	0.120	13.559
	0.121	13.447
	0.122	13.335
	0.123	13.224
	0.124	13.114
	0.125	13.005
	0.126	12.896
	0.127	12.789
	0.128	12.683
	0.129	12.577
	0.130	12.472
	0.131	12.369
	0.132	12.266
	0.133	12.164
	0.134	12.062
	0.135	11.962
	0.136	11.862
	0.137	11.764
	0.138	11.666
	0.139	11.569
	0.140	11.472
	0.141	11.377
	0.142	11.282
	0.143	11.188
	0.144	11.095
	0.145	11.003
	0.146	10.911
	0.147	10.821
	0.148	10.731
	0.149	10.641
	0.150	10.553
	0.151	10.465
	0.152	10.378
	0.153	10.291
	0.154	10.206
	0.155	10.121
	0.156	10.037
	0.157	9.953
	0.158	9.870
	0.159	9.788
	0.160	9.707
	0.161	9.626
	0.162	9.546
	0.163	9.466
	0.164	9.388
	0.165	9.309
	0.166	9.232
	0.167	9.155
	0.168	9.079
	0.169	9.003
	0.170	8.928
	0.171	8.854
	0.172	8.780
	0.173	8.707
	0.174	8.635
	0.175	8.563
0.176	8.492
	0.177	8.421
	0.178	8.351
	0.179	8.281
	0.180	8.213
	0.181	8.144
	0.182	8.076
	0.183	8.009
	0.184	7.943
	0.185	7.876
	0.186	7.811
	0.187	7.746
	0.188	7.681
	0.189	7.617
	0.190	7.554
	0.191	7.491
	0.192	7.429
	0.193	7.367
	0.194	7.306
	0.195	7.245
	0.196	7.185
	0.197	7.125
	0.198	7.066
	0.199	7.007
	0.200	6.948
	0.201	6.891
	0.202	6.833
	0.203	6.776
	0.204	6.720
	0.205	6.664
	0.206	6.609
	0.207	6.554
	0.208	6.499
	0.209	6.445
	0.210	6.391
	0.211	6.338
	0.212	6.285
	0.213	6.233
	0.214	6.181
	0.215	6.130
	0.216	6.079
	0.217	6.028
	0.218	5.978
	0.219	5.928
	0.220	5.879
	0.221	5.830
	0.222	5.781
	0.223	5.733
	0.224	5.685
	0.225	5.638
	0.226	5.591
	0.227	5.545
	0.228	5.498
	0.229	5.453
	0.230	5.407
	0.231	5.362
	0.232	5.318
	0.233	5.273
	0.234	5.230
	0.235	5.186
	0.236	5.143
	0.237	5.100
	0.238	5.058
	0.239	5.015
	0.240	4.974
	0.241	4.932
	0.242	4.891
	0.243	4.851
	0.244	4.810
	0.245	4.770
	0.246	4.730
	0.247	4.691
	0.248	4.652
	0.249	4.613
	0.250	4.575
	0.251	4.537
	0.252	4.499
	0.253	4.462
	0.254	4.424
	0.255	4.388
	0.256	4.351
	0.257	4.315
	0.258	4.279
	0.259	4.243
	0.260	4.208
	0.261	4.173
	0.262	4.138
	0.263	4.104
	0.264	4.070
	0.265	4.036
	0.266	4.002
	0.267	3.969
	0.268	3.936
	0.269	3.903
	0.270	3.871
	0.271	3.838
	0.272	3.806
	0.273	3.775
	0.274	3.743
	0.275	3.712
	0.276	3.681
	0.277	3.651
	0.278	3.620
	0.279	3.590
	0.280	3.560
	0.281	3.530
	0.282	3.501
	0.283	3.472
	0.284	3.443
	0.285	3.414
	0.286	3.386
	0.287	3.358
	0.288	3.330
	0.289	3.302
	0.290	3.275
	0.291	3.247
	0.292	3.220
	0.293	3.193
	0.294	3.167
	0.295	3.141
	0.296	3.114
	0.297	3.088
	0.298	3.063
	0.299	3.037
	0.300	3.012
	0.301	2.987
	0.302	2.962
	0.303	2.937
	0.304	2.913
	0.305	2.889
	0.306	2.865
	0.307	2.841
	0.308	2.817
	0.309	2.794
	0.310	2.770
	0.311	2.747
	0.312	2.724
	0.313	2.702
	0.314	2.679
	0.315	2.657
	0.316	2.635
	0.317	2.613
	0.318	2.591
	0.319	2.570
	0.320	2.548
	0.321	2.527
	0.322	2.506
	0.323	2.485
	0.324	2.464
	0.325	2.444
	0.326	2.423
	0.327	2.403
	0.328	2.383
	0.329	2.363
	0.330	2.344
	0.331	2.324
	0.332	2.305
	0.333	2.286
	0.334	2.267
	0.335	2.248
	0.336	2.229
	0.337	2.211
	0.338	2.192
	0.339	2.174
	0.340	2.156
	0.341	2.138
	0.342	2.120
	0.343	2.102
	0.344	2.085
	0.345	2.068
	0.346	2.050
	0.347	2.033
	0.348	2.016
	0.349	2.000
	0.350	1.983
	0.351	1.966
	0.352	1.950
	0.353	1.934
	0.354	1.918
	0.355	1.902
	0.356	1.886
	0.357	1.870
	0.358	1.855
	0.359	1.839
	0.360	1.824
	0.361	1.809
	0.362	1.794
	0.363	1.779
	0.364	1.764
	0.365	1.749
	0.366	1.735
	0.367	1.720
	0.368	1.706
	0.369	1.692
	0.370	1.677
	0.371	1.664
	0.372	1.650
	0.373	1.636
	0.374	1.622
	0.375	1.609
	0.376	1.595
	0.377	1.582
	0.378	1.569
	0.379	1.556
	0.380	1.543
	0.381	1.530
	0.382	1.517
	0.383	1.505
	0.384	1.492
	0.385	1.480
	0.386	1.467
	0.387	1.455
	0.388	1.443
	0.389	1.431
	0.390	1.419
	0.391	1.407
	0.392	1.396
	0.393	1.384
	0.394	1.372
	0.395	1.361
	0.396	1.350
	0.397	1.338
	0.398	1.327
	0.399	1.316
	0.400	1.305
	0.401	1.294
	0.402	1.284
	0.403	1.273
	0.404	1.262
	0.405	1.252
	0.406	1.241
	0.407	1.231
	0.408	1.221
	0.409	1.211
	0.410	1.201
	0.411	1.191
	0.412	1.181
	0.413	1.171
	0.414	1.161
	0.415	1.151
	0.416	1.142
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	1.218	0.001
	1.219	0.001
	1.220	0.001
	1.221	0.001
	1.222	0.001
	1.223	0.001
	1.224	0.001
	1.225	0.001
	1.226	0.001
	1.227	0.001
	1.228	0.001
	1.229	0.001
	1.230	0.001
	1.231	0.001
	1.232	0.001
	1.233	0.001
	1.234	0.001
	1.235	0.001
	1.236	0.001
	1.237	0.001
	1.238	0.001
	1.239	0.001
	1.240	0.001
	1.241	0.001
	1.242	0.001
	1.243	0.001
	1.244	0.001
	1.245	0.001
	1.246	0.001
	1.247	0.001
	1.248	0.001
	1.249	0.001
	1.250	0.001
	1.251	0.001
	1.252	0.001
	1.253	0.001
	1.254	0.001
	1.255	0.001
	1.256	0.001
	1.257	0.001
	1.258	0.001
	1.259	0.001
	1.260	0.001
	1.261	0.001
	1.262	0.001
	1.263	0.001
	1.264	0.001
	1.265	0.001
	1.266	0.001
	1.267	0.001
	1.268	0.001
	1.269	0.001
	1.270	0.001
	1.271	0.001
	1.272	0.001
	1.273	0.001
	1.274	0.001
	1.275	0.001
	1.276	0.001
	1.277	0.001
	1.278	0.001
	1.279	0.001
	1.280	0.001
	1.281	0.001
	1.282	0.001
	1.283	0.001
	1.284	0.001
	1.285	0.001
	1.286	0.001
	1.287	0.001
	1.288	0.001
	1.289	0.001
	1.290	0.001
	1.291	0.001
	1.292	0.001
	1.293	0.001
	1.294	0.001
	1.295	0.001
	1.296	0.001
	1.297	0.001
	1.298	0.001
	1.299	0.001
	1.300	0.001
	1.301	0.001
	1.302	0.001
	1.303	0.001
	1.304	0.001
	1.305	0.001
	1.306	0.001
	1.307	0.001
	1.308	0.001
	1.309	0.001
	1.310	0.001
	1.311	0.001
	1.312	0.001
	1.313	0.001
	1.314	0.001
	1.315	0.001
	1.316	0.001
	1.317	0.001
	1.318	0.001
	1.319	0.001
	1.320	0.001
	1.321	0.001
	1.322	0.001
	1.323	0.001
	1.324	0.001
	1.325	0.001
1.326	0.001
	1.327	0.001
	1.328	0.001
	1.329	0.001
	1.330	0.001
	1.331	0.001
	1.332	0.001
	1.333	0.001
	1.334	0.001
	1.335	0.001
	1.336	0.001
	1.337	0.001
	1.338	0.001
	1.339	0.001
	1.340	0.000
EXERCÍCIO_03
	Se o bloco de 30 kg é submetido a uma força períódica de Fp = [300⋅sen(5t)] N, k = 1.500 N/m e c = 300 N⋅s/m determine a equação que descreve a vibração de estado constante como uma função do tempo.	Variável	Decrição	Valor	Qtd	Total
	Massa do bloco (kg)	30.0	1	30.0
	Constante da mola (N/m)	1,500.0	2	3,000.0
	Coeficiente de qmortecimento (N⋅s/m)	300.0	1	300.0
	Força (N)	300.0
	Frequencia de excitação (rad/s)	5.0
	Variável	Descrição	Valor	Observação	Fórmula
	Coeficiente de amortecimento Crítico (N⋅s/m)	600.00000000	-
	Fator de amortecimento	0.50000000	Subamortecido
	Frequência Natural (rad/s)	10.00000000	-
	Variável	Descrição	Valor	Fórmula
	Amplitude de vibração (m)	0.11094004
	Ângulo da fase (em graus)	33.69006753
	Tabela de Tempo x Deslocamento
	Tempo (s)	Função da Força Periódica (N)	Tempo (s)	Deslocamento (m)
	0.000	0.00000	0.000	-0.08461
	0.010	14.99375	0.010	-0.08809
	0.020	29.95002	0.020	-0.09135
	0.030	44.83144	0.030	-0.09438
	0.040	59.60080	0.040	-0.09718
	0.050	74.22119	0.050	-0.09973
	0.060	88.65606	0.060	-0.10204
	0.070	102.86934	0.070	-0.10409
	0.080	116.82550	0.080	-0.10587
	0.090	130.48966	0.090	-0.10740
	0.100	143.82766	0.100	-0.10865
	0.110	156.80617	0.110	-0.10964
	0.120	169.39274	0.120	-0.11035
	0.130	181.55592	0.130	-0.11078
	0.140	193.26531	0.140	-0.11094
	0.150	204.49163	0.150	-0.11082
	0.160	215.20683	0.160	-0.11042
	0.170	225.38412	0.170	-0.10975
	0.180	234.99807	0.180	-0.10880
	0.190	244.02465	0.190	-0.10758
	0.200	252.44130	0.200	-0.10609
	0.210	260.22697	0.210	-0.10434
	0.220	267.36221	0.220	-0.10233
	0.230	273.82918	0.230	-0.10006
	0.240	279.61173	0.240	-0.09754
	0.250	284.69539	0.250	-0.09477
	0.260	289.06746	0.260	-0.09177
	0.270	292.71701	0.270	-0.08854
	0.280	295.63492	0.280	-0.08509
	0.290	297.81390	0.290	-0.08143
	0.300	299.24850	0.300	-0.07756
	0.310	299.93513	0.310	-0.07350
	0.320	299.87208	0.320	-0.06925
	0.330	299.05951	0.330	-0.06483
	0.340	297.49944	0.340	-0.06025
	0.350	295.19578	0.350	-0.05552
	0.360	292.15429	0.360	-0.05065
	0.370	288.38256	0.370	-0.04566
	0.380	283.89003	0.380	-0.04055
	0.390	278.68791	0.390	-0.03533
	0.400	272.78923	0.400	-0.03003
	0.410	266.20871	0.410	-0.02466
	0.420	258.96281	0.420	-0.01922
	0.430	251.06964	0.430	-0.01374
	0.440	242.54892	0.440	-0.00822
	0.450	233.42196	0.450	-0.00268
	0.460	223.71156	0.460	0.00287
	0.470	213.44201	0.470	0.00841
	0.480	202.63895	0.480	0.01393
	0.490	191.32941	0.490	0.01941
	0.500	179.54164	0.500	0.02484
	0.510	167.30512	0.510	0.03022
	0.520	154.65041	0.520	0.03551
	0.530	141.60916	0.530	0.04072
	0.540	128.21396	0.540	0.04583
	0.550	114.49830	0.550	0.05082
	0.560	100.49645	0.560	0.05569
	0.570	86.24340	0.570	0.06041
	0.580	71.77480	0.580	0.06499
	0.590	57.12679	0.590	0.06940
	0.600	42.33600	0.600	0.07364
	0.610	27.43939	0.610	0.07769
	0.620	12.47420	0.620	0.08156
	0.630	-2.52217	0.630	0.08521
	0.640	-17.51224	0.640	0.08866
	0.650	-32.45854	0.650	0.09188
	0.660	-47.32371	0.660	0.09487
	0.670	-62.07059	0.670	0.09763
	0.680	-76.66233	0.680	0.10014
	0.690	-91.06245	0.690	0.10240
	0.700	-105.23497	0.700	0.10441
	0.710	-119.14445	0.710	0.10615
	0.720	-132.75613	0.720	0.10763
	0.730	-146.03599	0.730	0.10884
	0.740	-158.95084	0.740	0.10978
	0.750	-171.46840	0.750	0.11044
	0.760	-183.55737	0.760	0.11083
	0.770	-195.18754	0.770	0.11094
	0.780	-206.32985	0.780	0.11077
	0.790	-216.95644	0.790	0.11033
	0.800	-227.04075	0.800	0.10961
	0.810	-236.55758	0.810	0.10862
	0.820	-245.48313	0.820	0.10735
	0.830	-253.79511	0.830	0.10582
	0.840	-261.47273	0.840	0.10402
	0.850	-268.49681	0.850	0.10196
	0.860	-274.84978	0.860	0.09965
	0.870	-280.51577	0.870	0.09709
	0.880	-285.48062	0.880	0.09428
	0.890	-289.73192	0.890	0.09124
	0.900	-293.25904	0.900	0.08798
	0.910	-296.05316	0.910	0.08449
	0.920	-298.10730	0.920	0.08079
	0.930	-299.41633	0.930	0.07689
	0.940	-299.97698	0.940	0.07280
	0.950	-299.78784	0.950	0.06852
	0.960	-298.84938	0.960	0.06407
	0.970	-297.16396	0.970	0.05947
	0.980	-294.73578	0.980	0.05471
	0.990	-291.57092	0.990	0.04982
	1.000	-287.67728	1.000	0.04480
	1.010	-283.06460	1.010	0.03968
	1.020	-277.74440	1.020	0.03445
	1.030	-271.72999	1.030	0.02913
	1.040	-265.03640	1.040	0.02375
	1.050	-257.68035	1.050	0.01830
	1.060	-249.68023	1.060	0.01281
	1.070	-241.05605	1.070	0.00729
	1.080	-231.82935	1.080	0.00175
	1.090	-222.02319	1.090	-0.00380
	1.100	-211.66210	1.100	-0.00934
	1.110	-200.77196	1.110	-0.01485
	1.120	-189.37999	1.120	-0.02033
	1.130	-177.51467	1.130	-0.02575
	1.140	-165.20566	1.140	-0.03111
	1.150	-152.48372	1.150	-0.03640
	1.160	-139.38065	1.160	-0.04159
	1.170	-125.92921	1.170	-0.04668
	1.180	-112.16300	1.180	-0.05165
	1.190	-98.11644	1.190	-0.05649
	1.200	-83.82465	1.200	-0.06119
	1.210	-69.32334	1.210	-0.06574
	1.220	-54.64875	1.220	-0.07013
	1.230	-39.83757	1.230	-0.07433
	1.240	-24.92682	1.240	-0.07836
	1.250	-9.95376	1.250	-0.08218
	1.260	5.04417	1.260	-0.08581
	1.270	20.02950	1.270	-0.08921
	1.280	34.96476	1.280	-0.09240
	1.290	49.81263	1.290	-0.09535
	1.300	64.53600	1.300	-0.09807
	1.310	79.09805	1.310	-0.10054
	1.320	93.46241	1.320	-0.10276
	1.330	107.59316	1.330	-0.10472
	1.340	121.45498	1.340	-0.10642
	1.350	135.01322	1.350	-0.10785
	1.360	148.23401	1.360	-0.10902
	1.370	161.08428	1.370	-0.10991
	1.380	173.53193	1.380	-0.11052
	1.390	185.54584	1.390	-0.11087
	1.400	197.09598	1.400	-0.11093
	1.410	208.15348	1.410	-0.11072
	1.420	218.69071	1.420	-0.11023
	1.430	228.68133	1.430	-0.10946
	1.440	238.10036	1.440	-0.10842
	1.450	246.92426	1.450	-0.10711
	1.460	255.13099	1.460	-0.10553
	1.470	262.70001	1.470	-0.10369
	1.480	269.61243	1.480	-0.10159
	1.490	275.85095	1.490	-0.09924
	1.500	281.39999	1.500	-0.09663
	1.510	286.24568	1.510	-0.09379
	1.520	290.37590	1.520	-0.09071
	1.530	293.78033	1.530	-0.08741
	1.540	296.45047	1.540	-0.08388
	1.550	298.37963	1.550	-0.08015
	1.560	299.56300	1.560	-0.07621
	1.570	299.99762	1.570	-0.07209
	1.580	299.68240	1.580	-0.06778
	1.590	298.61813	1.590	-0.06331
	1.600	296.80747	1.600	-0.05868
	1.610	294.25495	1.610	-0.05390
	1.620	290.96694	1.620	-0.04899
	1.630	286.95167	1.630	-0.04395
	1.640	282.21917	1.640	-0.03880
	1.650	276.78126	1.650	-0.03356
	1.660	270.65155	1.660	-0.02823
	1.670	263.84535	1.670	-0.02284
	1.680	256.37967	1.680	-0.01738
	1.690	248.27318	1.690	-0.01188
	1.700	239.54613	1.700	-0.00636
	1.710	230.22035	1.710	-0.00081
	1.720	220.31913	1.720	0.00473
	1.730	209.86723	1.730	0.01027
	1.740	198.89077	1.740	0.01577
	1.750	187.41719	1.750	0.02124
	1.760	175.47516	1.760	0.02666
	1.770	163.09453	1.770	0.03201
	1.780	150.30626	1.780	0.03728
	1.790	137.14229	1.790	0.04245
	1.800	123.63555	1.800	0.04752
	1.810	109.81977	1.810	0.05247
	1.820	95.72951	1.820	0.05729
	1.830	81.39997	1.830	0.06197
	1.840	66.86697	1.840	0.06649
	1.850	52.16685	1.850	0.07085
	1.860	37.33633	1.860	0.07502
	1.870	22.41249	1.870	0.07902
	1.880	7.43263	1.880	0.08281
	1.890	-7.56581	1.890	0.08639
	1.900	-22.54534	1.900	0.08977
	1.910	-37.46851	1.910	0.09291
	1.920	-52.29803	1.920	0.09582
	1.930	-66.99684	1.930	0.09850
	1.940	-81.52819	1.940	0.10093
	1.950	-95.85576	1.950	0.10310
	1.960	-109.94374	1.960	0.10502
	1.970	-123.75692	1.970	0.10668
	1.980	-137.26077	1.980	0.10807
	1.990	-150.42154	1.990	0.10918
	2.000	-163.20633	2.000	0.11003
	2.010	-175.58320	2.010	0.11060
	2.020	-187.52119	2.020	0.11090
	2.030	-198.99049	2.030	0.11091
	2.040	-209.96241	2.040	0.11065
	2.050	-220.40953	2.050	0.11012
	2.060	-230.30574	2.060	0.10931
	2.070	-239.62631	2.070	0.10822
	2.080	-248.34794	2.080	0.10687
	2.090	-256.44883	2.090	0.10524
	2.100	-263.90873	2.100	0.10336
	2.110	-270.70899	2.110	0.10121
	2.120	-276.83263	2.120	0.09882
	2.130	-282.26432	2.130
0.09617
	2.140	-286.99050	2.140	0.09329
	2.150	-290.99936	2.150	0.09017
	2.160	-294.28087	2.160	0.08683
	2.170	-296.82683	2.170	0.08327
	2.180	-298.63088	2.180	0.07950
	2.190	-299.68850	2.190	0.07553
	2.200	-299.99706	2.200	0.07138
	2.210	-299.55579	2.210	0.06704
	2.220	-298.36578	2.220	0.06254
	2.230	-296.43001	2.230	0.05788
	2.240	-293.75332	2.240	0.05308
	2.250	-290.34240	2.250	0.04815
	2.260	-286.20577	2.260	0.04309
	2.270	-281.35379	2.270	0.03793
	2.280	-275.79856	2.280	0.03267
	2.290	-269.55398	2.290	0.02733
	2.300	-262.63565	2.300	0.02192
	2.310	-255.06088	2.310	0.01646
	2.320	-246.84858	2.320	0.01096
	2.330	-238.01929	2.330	0.00542
	2.340	-228.59508	2.340	-0.00012
	2.350	-218.59949	2.350	-0.00566
	2.360	-208.05753	2.360	-0.01119
	2.370	-196.99552	2.370	-0.01670
	2.380	-185.44113	2.380	-0.02216
	2.390	-173.42324	2.390	-0.02756
	2.400	-160.97188	2.400	-0.03290
	2.410	-148.11817	2.410	-0.03815
	2.420	-134.89424	2.420	-0.04331
	2.430	-121.33315	2.430	-0.04836
	2.440	-107.46878	2.440	-0.05329
	2.450	-93.33581	2.450	-0.05809
	2.460	-78.96954	2.460	-0.06274
	2.470	-64.40589	2.470	-0.06723
	2.480	-49.68125	2.480	-0.07156
	2.490	-34.83244	2.490	-0.07571
	2.500	-19.89657	2.500	-0.07967
	2.510	-4.91096	2.510	-0.08343
	2.520	10.08691	2.520	-0.08698
	2.530	25.05958	2.530	-0.09031
	2.540	39.96961	2.540	-0.09342
	2.550	54.77974	2.550	-0.09629
	2.560	69.45295	2.560	-0.09892
	2.570	83.95256	2.570	-0.10131
	2.580	98.24233	2.580	-0.10344
	2.590	112.28655	2.590	-0.10532
	2.600	126.05011	2.600	-0.10693
	2.610	139.49861	2.610	-0.10827
	2.620	152.59844	2.620	-0.10935
	2.630	165.31685	2.630	-0.11015
	2.640	177.62205	2.640	-0.11067
	2.650	189.48330	2.650	-0.11092
	2.660	200.87093	2.660	-0.11089
	2.670	211.75649	2.670	-0.11058
	2.680	222.11277	2.680	-0.11000
	2.690	231.91388	2.690	-0.10914
	2.700	241.13533	2.700	-0.10801
	2.710	249.75406	2.710	-0.10661
	2.720	257.74854	2.720	-0.10494
	2.730	265.09879	2.730	-0.10301
	2.740	271.78642	2.740	-0.10083
	2.750	277.79473	2.750	-0.09839
	2.760	283.10870	2.760	-0.09570
	2.770	287.71504	2.770	-0.09278
	2.780	291.60225	2.780	-0.08962
	2.790	294.76060	2.790	-0.08624
	2.800	297.18221	2.800	-0.08265
	2.810	298.86101	2.810	-0.07885
	2.820	299.79282	2.820	-0.07485
	2.830	299.97530	2.830	-0.07066
	2.840	299.40800	2.840	-0.06630
	2.850	298.09233	2.850	-0.06177
	2.860	296.03159	2.860	-0.05709
	2.870	293.23092	2.870	-0.05226
	2.880	289.69733	2.880	-0.04731
	2.890	285.43965	2.890	-0.04223
	2.900	280.46852	2.900	-0.03705
	2.910	274.79636	2.910	-0.03178
	2.920	268.43735	2.920	-0.02643
	2.930	261.40739	2.930	-0.02101
	2.940	253.72405	2.940	-0.01554
	2.950	245.40653	2.950	-0.01003
	2.960	236.47562	2.960	-0.00449
	2.970	226.95365	2.970	0.00105
	2.980	216.86440	2.980	0.00660
	2.990	206.23312	2.990	0.01212
	3.000	195.08635	3.000	0.01762
	3.010	183.45197	3.010	0.02307
	3.020	171.35906	3.020	0.02847
	3.030	158.83784	3.030	0.03379
	3.040	145.91961	3.040	0.03903
	3.050	132.63665	3.050	0.04417
	3.060	119.02217	3.060	0.04920
	3.070	105.11020	3.070	0.05411
	3.080	90.93551	3.080	0.05888
	3.090	76.53352	3.090	0.06351
	3.100	61.94024	3.100	0.06797
	3.110	47.19215	3.110	0.07227
	3.120	32.32610	3.120	0.07639
	3.130	17.37924	3.130	0.08031
	3.140	2.38896	3.140	0.08404
	3.150	-12.60731	3.150	0.08755
	3.160	-27.57206	3.160	0.09085
	3.170	-42.46789	3.170	0.09392
	3.180	-57.25757	3.180	0.09675
	3.190	-71.90415	3.190	0.09934
	3.200	-86.37099	3.200	0.10169
	3.210	-100.62196	3.210	0.10378
	3.220	-114.62143	3.220	0.10561
	3.230	-128.33440	3.230	0.10717
	3.240	-141.72660	3.240	0.10847
	3.250	-154.76455	3.250	0.10950
	3.260	-167.41568	3.260	0.11025
	3.270	-179.64836	3.270	0.11073
	3.280	-191.43200	3.280	0.11093
	3.290	-202.73717	3.290	0.11086
	3.300	-213.53560	3.300	0.11050
	3.310	-223.80031	3.310	0.10987
	3.320	-233.50562	3.320	0.10897
	3.330	-242.62730	3.330	0.10779
	3.340	-251.14253	3.340	0.10635
	3.350	-259.03004	3.350	0.10464
	3.360	-266.27011	3.360	0.10266
	3.370	-272.84464	3.370	0.10043
	3.380	-278.73720	3.380	0.09795
	3.390	-283.93307	3.390	0.09523
	3.400	-288.41925	3.400	0.09227
	3.410	-292.18453	3.410	0.08907
	3.420	-295.21950	3.420	0.08565
	3.430	-297.51658	3.430	0.08202
	3.440	-299.07002	3.440	0.07819
	3.450	-299.87594	3.450	0.07416
	3.460	-299.93233	3.460	0.06994
	3.470	-299.23904	3.470	0.06555
	3.480	-297.79781	3.480	0.06099
	3.490	-295.61225	3.490	0.05629
	3.500	-292.68780	3.500	0.05144
	3.510	-289.03179	3.510	0.04646
	3.520	-284.65335	3.520	0.04137
	3.530	-279.56342	3.530	0.03617
	3.540	-273.77473	3.540	0.03088
	3.550	-267.30175	3.550	0.02552
	3.560	-260.16065	3.560	0.02009
	3.570	-252.36929	3.570	0.01461
	3.580	-243.94713	3.580	0.00910
	3.590	-234.91524	3.590	0.00356
	3.600	-225.29617	3.600	-0.00199
	3.610	-215.11399	3.610	-0.00753
	3.620	-204.39413	3.620	-0.01305
	3.630	-193.16339	3.630	-0.01854
	3.640	-181.44985	3.640	-0.02398
	3.650	-169.28277	3.650	-0.02937
	3.660	-156.69258	3.660	-0.03468
	3.670	-143.71073	3.670	-0.03990
	3.680	-130.36969	3.680	-0.04502
	3.690	-116.70278	3.690	-0.05003
	3.700	-102.74419	3.700	-0.05492
	3.710	-88.52878	3.710	-0.05967
	3.720	-74.09210	3.720	-0.06427
	3.730	-59.47023	3.730	-0.06871
	3.740	-44.69971	3.740	-0.07298
	3.750	-29.81746	3.750	-0.07706
	3.760	-14.86069	3.760	-0.08095
	3.770	0.13322	3.770	-0.08464
	3.780	15.12681	3.780	-0.08812
	3.790	30.08258	3.790	-0.09138
	3.800	44.96316	3.800	-0.09441
	3.810	59.73136	3.810	-0.09720
	3.820	74.35026	3.820	-0.09976
	3.830	88.78333	3.830	-0.10206
	3.840	102.99448	3.840	-0.10410
	3.850	116.94820	3.850	-0.10589
	3.860	130.60961	3.860	-0.10741
	3.870	143.94456	3.870	-0.10866
	3.880	156.91973	3.880	-0.10965
	3.890	169.50268	3.890	-0.11035
	3.900	181.66196	3.900	-0.11078
	3.910	193.36718	3.910	-0.11094
	3.920	204.58909	3.920	-0.11082
	3.930	215.29962	3.930	-0.11042
	3.940	225.47202	3.940	-0.10974
	3.950	235.08086	3.950	-0.10879
	3.960	244.10212	3.960	-0.10757
	3.970	252.51325	3.970	-0.10608
	3.980	260.29323	3.980	-0.10432
	3.990	267.42261	3.990	-0.10231
	4.000	273.88358	4.000	-0.10004