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.

OrderTime (s)Pretension (N/m)
1000200030004000

1st order0.000653.370690.417725.732759.517
0.005651.026688.436724.029758.034
0.010649.307686.983722.781756.947
0.050644.972683.319719.633754.205
0.100644.594682.999719.358753.965
644.576682.984719.345753.954

2nd order0.000785.375816.955847.390876.795
0.005784.506816.183846.699876.171
0.010783.869815.617846.192875.714
0.050782.262814.190844.914874.561
0.100782.122814.066844.803874.460
782.115814.060844.797874.455

3rd order0.000858.477948.6711032.551110.97
0.005849.685942.2431027.601107.02
0.010843.237937.5281023.971104.12
0.050826.978925.6411014.821096.81
0.100825.559924.6031014.021096.17
825.492924.5541013.981096.14