Forced Vibration of a Timoshenko Beam Subjected to Stationary and Moving Loads Using the Modal Analysis Method

Table 1

Natural frequencies and mode shape parameters of a simply supported Timoshenko beam.

Mode number (n)	Natural frequencies (Hz)		Mode shape parameters (rad/m)
	1	6.29	14331.42	0.72	−3180.85
2	25.14	14354.54	1.44	−1594.48
3	56.41	14392.93	2.15	−1067.48
4	99.92	14446.40	2.86	−805.32
5	155.39	14514.66	3.53	−649.08
10	598.86	15064.35	6.66	−344.31
20	2122.10	17004.83	10.95	−209.53
30	4125.86	19679.14	12.87	−178.31
40	6335.86	22782.05	13.33	−172.12
50	8624.20	26151.69	13.05	−175.79
60	10935.20	29699.86	12.44	−184.42
70	13245.32	33374.30	11.71	−195.95
74	14166.78	34871.53	11.41	−201.13
75	14396.84	35247.95	11.33	−202.47
80	15545.26	37141.61	10.96	−209.36
90	17832.00	40979.20	10.24	−224.06

Note: the cutoff frequency is  Hz.