An Improved Analytical Method for Vibration Analysis of Variable Section Beam

Table 5

Comparison of results from ADTM and ADM in the trapezoid beam case.

	ADM (k = 26)			ADTM (p = 3, k1 = 10, k2 = 10, k3 = 11)
Order of iteration	ω1 (rad/s)	ω2 (rad/s)	ω3 (rad/s)	ω1 (rad/s)	ω2 (rad/s)	ω3 (rad/s)
n = 5	101.1324	536.5036	1598.5717	101.8157	533.3674	1415.5740
n = 6	101.6175	534.5213	1497.6120	101.8161	533.3827	1415.5901
n = 7	101.7673	533.6933	1424.1163	101.8162	533.3844	1415.5919
n = 8	101.8057	533.4538	1416.5559	101.8162	533.3846	1415.5921
n = 9	101.8142	533.3980	1415.6736	101.8162	533.3846	1415.5921
n = 10	101.8159	533.3869	1415.5946	101.8162	533.3846	1415.5921