Free and Forced Vibration Characteristics Analysis of a Multispan Timoshenko Beam Based on the Ritz Method

Table 2

Comparison of frequency for multispan beam with different boundary condition (k_t = 10¹¹ N/m).

Boundary conditions		Single-span		Two-span		Four-span
	Mode no.	FEM	Present	FEM	Present	FEM	Present
C-C; h = 0.02; b = 0.04	1	106.38	106.38	292.21	292.21	864.87	864.88
	2	292.21	292.21	422.12	422.17	1147.60	1148.26
	3	570.15	570.17	936.88	936.97	1467.60	1469.73
	4	936.88	936.97	1147.60	1148.30	1636.60	1640.14
	5	1389.60	1389.85	1924.90	1925.77	3111.90	3120.22
S-S; h = 0.02; b = 0.08	1	47.03	47.02	47.03	47.02	292.21	292.21
	2	187.73	187.72	106.38	106.38	311.43	311.46
	3	421.00	420.95	421.00	420.95	936.80	936.92
	4	745.05	744.91	570.12	570.14	1308.10	1309.00
	5	1157.40	1157.08	1157.40	1157.08	1924.60	1925.44