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

Table 1

Free vibration frequencies for simple-simple Timoshenko beam.

	𝜔1	𝜔2	𝜔3	𝜔4	𝜔5	𝜔6	𝜔7	𝜔8	𝜔9
𝑛=4	6838.8338	23190.888	43444.615	64925.614	86738.326	108481.00	111981.29	120647.23	129920.78
𝑛=8	6838.8336	23190.827	43443.498	64939.222	86711.057	108431.78	111981.29	120647.23	130004.36
𝑛=12	6838.8336	23190.827	43443.493	64939.186	86710.905	108431.36	111981.29	120647.23	130003.65
𝑛=16	6838.8336	23190.827	43443.493	64939.185	86710.899	108431.34	111981.29	120647.23	130003.61
Exact [38]	6838.8336	23190.827	43443.493	64939.185	86710.889	108431.34	111981.29	120647.23	130003.61