Research Article

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

Table 5

Maximum normalized mid-span deflection of FGM beam under harmonic load with different aspect ratios and temperature rises ( Hz).

(K)

10 50 0.7866 0.8515 0.9095 0.9869 1.0628
100 0.8135 0.8831 0.9476 1.0327 1.1179
150 0.8401 0.9163 0.9893 1.0858 1.1791

15 50 0.8384 0.9315 1.0058 1.1130 1.2084
100 0.9118 1.0007 1.1002 1.2397 1.3815
150 0.9795 1.0831 1.2244 1.3992 1.6050

20 50 0.9759 1.0843 1.2074 1.3765 1.5265
100 1.0653 1.2672 1.3892 1.7410 2.0633
150 1.3084 1.4657 1.8049 2.3815 3.0587