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

Table 9

for clamped-tapered beams in which beam (a) is varying in breadth and beam (b) is varying in depth, with a taper ratio and .

		Present work	[33]	Rel diff [33] (%)	[35]	Rel diff [35] (%)
Beam (a)	0.2	1.0009	1.0009	0	1.0009	0
	0.4	1.0036	1.0037	0.009	—	—
	0.6	1.008	1.0082	0.01	1.0079	0.009
	0.8	1.0143	1.0146	0.02	—	—
	1	1.0223	1.0227	0.03	1.0218	0.04
	2	1.0859	1.0879	0.18	1.0835	0.22
Beam (b)	0.2	1.0014	1.0017	0.02	1.0015	0.008
	0.4	1.0056	1.0066	0.09	—	—
	0.6	1.0126	1.0149	0.22	1.0134	0.07
	0.8	1.0223	1.0263	0.38	—	—
	1	1.0347	1.0408	0.58	1.0366	0.17
	2	1.1336	1.1545	1.8	1.1366	0.25