An Improved Analytical Method for Vibration Analysis of Variable Section Beam

Table 2

Comparison of results from ADTM and ADM in the trapezoid convex 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	101.1648	502.4120	1349.6159	99.2913	533.8116	1420.8928
n = 6	99.8467	523.7288	1527.6533	99.2814	533.8033	1420.9502
n = 7	99.4269	531.2438	1347.9822	99.2802	533.8025	1420.9597
n = 8	99.3134	533.2523	1455.0812	99.2801	533.8025	1420.9609
n = 9	99.2868	533.6983	1426.7344	99.2801	533.8024	1420.9610
n = 10	99.2813	533.7847	1421.9121	99.2801	533.8024	1420.9610