Research Article
Theoretical and Numerical Studies on Damped Nonlinear Vibration of Orthotropic Saddle Membrane Structures Excited by Hailstone Impact Load
Table 5
Frequencies (rad/s) under different pretensions and time instants.
| Order | Time (s) | Pretension (N/m) | 1000 | 2000 | 3000 | 4000 |
| 1st order | 0.000 | 653.370 | 690.417 | 725.732 | 759.517 | 0.005 | 651.026 | 688.436 | 724.029 | 758.034 | 0.010 | 649.307 | 686.983 | 722.781 | 756.947 | 0.050 | 644.972 | 683.319 | 719.633 | 754.205 | 0.100 | 644.594 | 682.999 | 719.358 | 753.965 | | 644.576 | 682.984 | 719.345 | 753.954 |
| 2nd order | 0.000 | 785.375 | 816.955 | 847.390 | 876.795 | 0.005 | 784.506 | 816.183 | 846.699 | 876.171 | 0.010 | 783.869 | 815.617 | 846.192 | 875.714 | 0.050 | 782.262 | 814.190 | 844.914 | 874.561 | 0.100 | 782.122 | 814.066 | 844.803 | 874.460 | | 782.115 | 814.060 | 844.797 | 874.455 |
| 3rd order | 0.000 | 858.477 | 948.671 | 1032.55 | 1110.97 | 0.005 | 849.685 | 942.243 | 1027.60 | 1107.02 | 0.010 | 843.237 | 937.528 | 1023.97 | 1104.12 | 0.050 | 826.978 | 925.641 | 1014.82 | 1096.81 | 0.100 | 825.559 | 924.603 | 1014.02 | 1096.17 | | 825.492 | 924.554 | 1013.98 | 1096.14 |
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