Research Article

An Improved Analytical Method for Vibration Analysis of Variable Section Beam

Table 6

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

ADTM (n = 10)Semianalytical method
Segmentsω1 (rad/s)ω2 (rad/s)ω3 (rad/s)ω1 (rad/s)ω2 (rad/s)ω3 (rad/s)

p = 2101.8150533.37861415.577394.4962496.54711373.9867
p = 3101.8162533.38271415.590198.4109514.61771370.6740
p = 4101.8162533.38281415.590299.8686522.24631387.4444