Dynamic Analysis of a Timoshenko Beam Subjected to an Accelerating Mass Using Spectral Element Method

Table 2

Free vibration frequencies for clamped-free Timoshenko beam.

	𝜔1	𝜔2	𝜔3	𝜔4	𝜔5	𝜔6	𝜔7	𝜔8	𝜔9
𝑛=4	2529.4927	13279.912	31045.083	50829.910	71550.753	91995.694	110969.19	119289.42	131460.96
𝑛=8	2529.4927	13279.905	31044.792	50825.847	71565.121	91995.100	110976.56	119244.54	131607.53
𝑛=12	2529.4927	13279.905	31044.791	50825.835	71565.050	91994.834	110976.00	119244.58	131606.55
𝑛=16	2529.4927	13279.905	31044.791	50825.843	71565.047	91994.824	110975.98	119244.57	131606.52
Exact [38]	2529.4927	13279.905	31044.791	50825.843	71565.047	91994.824	110975.98	119244.57	131606.52