A new regularization method and application to dynamic load identification problems

Figures & data

Figure 1. The FEM model of composite laminated cylindrical shell.

Table 1. The material properties of composite laminated cylindrical shell.

	Material poperties of glass/epoxy and carbon/epoxy
Material constants	E1 (GPa)	E2 (GPa)	G12 (GPa)	ν12	ν23	ρ (g cm^−3)
Glass/epoxv	38.49	9.367	3.414	0.2912	0.5071	2.66
Carbon/epoxy	142.17	9.255	4.795	0.3340	0.4862	1.90

Figure 2. The radial concentrated sine load acting on the outside surface.

Figure 3. The radial concentrated triangle load acting on the outside surface.

Figure 4. The corresponding vertical displacement response at one point.

Figure 5. The corresponding vertical displacement response at the other point.

Figure 6. The identified sine force at 5% noise level.

Figure 7. The identified triangle force at 5% noise level.

Table 2. The identified force at five time points at 5% noise level.

			Tikhonov		Present method
	Time	Real	Identified	Error (%)	Identified	Error (%)
	point	force	force		force
Sine	0.001	1000	1081.9	8.19	968.41	3.16
Triangle	0.0006	480	521.98	5.25	482.94	0.3675
Sine	0.003	−1000	−900.95	9.91	−975.39	2.46
Triangle	0.001	800	752.84	5.90	720.69	9.91
Sine	0.0045	707.11	775.59	6.85	635.11	7.2
Triangle	0.0016	320	328.41	1.05	345.98	3.25
Sine	0.0063	−453.99	−549.44	9.55	−435.53	1.85
Triangle	0.0033	−560	−639.79	9.97	−560.21	0.03
Sine	0.0073	−891.01	−905.15	1.41	−839.22	5.18
Triangle	0.0038	−160	−176.15	2.02	−181.99	2.75
Error (%)			Maximum	Average	Maximum	Average
Sine			15.41	5.57	14.78	4.84
Triangle			13.72	5.56	13.20	5.02