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

Table 7

Comparison of impact point maximum displacement results (mm) between numerical simulation and theoretical solution.

Results	Arch-to-span ratio	Pretension (N/m)	Hailstone diameter (cm)
			1.0	2.0	3.0	4.0	5.0	6.0
Simulation	1/10	1000	1.77	4.69	9.18	20.48	38.90	64.48
Theory	1/10	1000	0.31	2.22	7.36	19.04	37.46	63.06
Relative error			82%	53%	20%	7%	4%	2%
Simulation	1/12	1000	2.73	5.02	9.42	20.97	40.14	66.53
Theory	1/12	1000	0.33	2.39	8.00	20.53	39.64	65.10
Relative error			88%	52%	15%	2%	1%	2%