Haar Wavelet Method for Nonlinear Vibration of Functionally Graded CNT-Reinforced Composite Beams Resting on Nonlinear Elastic Foundations in Thermal Environment

Table 4

Comparison of nonlinear to linear frequency ratios for UD-CNTRC beams with different boundary conditions ( = 0.17, , and  = 10).

	H-H			C-C			C-H
	Ke et al. [16]	Lin et al. [45]	Present	Ke et al. [16]	Lin et al. [45]	Present	Ke et al. [16]	Lin et al. [45]	Present
0.1	1.0259	1.0261	1.0260	1.0136	1.0136	1.0136	1.0187	1.0188	1.0188
0.2	1.1000	1.1005	1.1004	1.0533	1.0537	1.0535	1.0727	1.0731	1.0731
0.3	1.2135	1.2144	1.2144	1.1165	1.1175	1.1173	1.1570	1.1580	1.1581
0.4	1.3565	1.3579	1.3577	1.2001	1.2016	1.2015	1.2657	1.2671	1.2670
0.5	1.5206	1.5227	1.5223	1.3036	1.3019	1.3022	1.3922	1.3953	1.3950