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

Table 2

Comparison of dimensionless fundamental frequency of FGM beam in thermal environment.

(K)	Source
20	Present	4.6950	4.4458	3.9781	3.6093
	Ref. [12]	4.7018	4.4333	3.9353	3.5473
40	Present	4.5964	4.3471	3.8785	3.5079
	Ref. [12]	4.6020	4.3278	3.8140	3.4112
80	Present	4.3931	4.1428	3.6704	3.2945
	Ref. [12]	4.3956	4.1087	3.5590	3.1214