Theoretical and Numerical Studies on Damped Nonlinear Vibration of Orthotropic Saddle Membrane Structures Excited by Hailstone Impact Load

Table 2

First three-order max. amplitude values (mm) of the impact point.

Arch-to-span ratio	Pretension (N/m)	Order	Hailstone diameter (cm)
			1.0	2.0	3.0	4.0	5.0	6.0
1/10	1000	1st	0.016	0.170	0.674	1.783	3.743	7.098
		2nd	0.014	0.146	0.575	1.473	3.114	6.042
		3rd	0.013	0.140	0.556	1.468	2.849	5.144
	2000	1st	0.015	0.160	0.637	1.685	3.543	6.760
		2nd	0.013	0.135	0.534	1.415	2.994	5.818
		3rd	0.011	0.121	0.479	1.246	2.578	4.767
	3000	1st	0.014	0.152	0.604	1.600	3.370	6.461
		2nd	0.012	0.130	0.515	1.364	2.886	5.616
		3rd	0.010	0.108	0.429	1.132	2.368	4.446
	4000	1st	0.014	0.145	0.577	1.527	3.220	6.197
		2nd	0.012	0.125	0.497	1.318	2.789	5.433
		3rd	0.009	0.100	0.397	1.048	2.201	4.175
1/12	1000	1st	0.019	0.199	0.788	2.079	4.327	8.018
		2nd	0.016	0.165	0.655	1.734	3.656	7.026
		3rd	0.015	0.160	0.628	1.581	3.169	5.535
	2000	1st	0.017	0.184	0.729	1.927	4.030	7.562
		2nd	0.015	0.156	0.620	1.642	3.467	6.687
		3rd	0.012	0.131	0.519	1.366	2.817	5.102
	3000	1st	0.016	0.172	0.682	1.804	3.784	7.165
		2nd	0.014	0.149	0.590	1.564	3.303	6.391
		3rd	0.011	0.117	0.465	1.227	2.553	4.730
	4000	1st	0.015	0.162	0.643	1.701	3.577	6.819
		2nd	0.013	0.142	0.565	1.495	3.161	6.129
		3rd	0.010	0.107	0.425	1.123	2.349	4.416