A Multimode Approach to Geometrically Nonlinear Free and Forced Vibrations of Multistepped Beams

Table 5

The convergence test of the normalized first nonlinear modes with different numbers of basic functions in the forced vibration case.

							Residual
	0.536	1	0.2580741	0.258094	0.258076	0.2580746	1.738E−05
				1.724E−05	2.135E−06	4.5023E−07
	1.135	1.3	0.556627	0.55690	0.556679	0.556639	2.302E−04
				2.265E−04	3.934E−05	1.201E−06
	1.46	1.5	0.729168	0.72978	0.7292869	0.7291965	5.09E−04
				5.010E−04	9.033E−05	2.826E−05
	1.9	1.8	0.96722	0.9686168	0.9675064	0.967296	1.132E−03
				1.11E−03	2.10E−04	6.7609E−05
	0.673	1	0.325504	0.32554426	0.3255096	0.325505	3.489E−05
				3.46E−05	4.321E−06	9.229E−07
	1.184	1.3	0.5820689	0.58237815	0.5821253	0.58208203	2.568E−04
				2527E−04	4.333E−05	1.308E−05
	1.496	1.5	0.745124	0.7457758	0.7452482	0.745153	5.367E−04
				5.275E−04	9.460E−05	2.947E−05
	1.921	1.8	0.976748	0.978167	0.977032	0.9768179	1.157E−03
				1.13E−03	2.143E−04	6.891E−05
	0.843	1	0.4107732	0.4108534	0.4107839	0.4107751	7.01E−05
				6.952E−05	8.795E−06	1.913E−07
	1.266	1.3	0.625555	0.625923	0.625621	0.625570	3.071E−04
				30251E−04	5/087E−05	1.511E−05
	1.549	1.5	0.774468	0.775181	0.774603	0.774500	5.886–04
				5.787E−04	1.028E−04	3.179E−05
	1.953	1.8	0.995041	0.996520	0.995335	0.995112	1.207E−03
				1.184E−03	2.229E−04	7.14E−05