Dynamic Analysis of Functionally Graded Timoshenko Beams in Thermal Environment Using a Higher-Order Hierarchical Beam Element

Table 1

Convergence and accuracy of the element in evaluating frequency parameter of FGM beam , .

							Ref. [4]	Ref. [37]
			14
10	2.7021	2.7015	2.7014	2.7014	2.7013	2.7013	2.695	2.701
30	2.7386	2.7383	2.7382	2.7381	2.7381	2.7381	2.737	2.738
100	2.7429	2.7426	2.7425	2.7424	2.7424	2.7424	2.742	2.742