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

Table 5

Nonlinear frequency ratio of FG-CNTRC beams resting on the nonlinear elastic foundation with different boundary conditions (,  = 25, ,  = 0.02, and  = 300 (K).

B.C.	Type
				0.1	0.2	0.3	0.4	0.5
C-C	UD	0.12	1.7914	1.0252	1.0976	1.2097	1.3522	1.5160
		0.17	2.2691	1.0209	1.0815	1.1762	1.2976	1.4409
		0.28	2.4750	1.0258	1.1001	1.2147	1.3598	1.5299
	FG-X	0.12	1.8346	1.0241	1.0936	1.2015	1.3389	1.4983
		0.17	2.3411	1.0198	1.0771	1.1670	1.2826	1.4192
		0.28	2.5831	1.0239	1.0926	1.1991	1.3346	1.4919
	FG-O	0.12	1.6944	1.0279	1.1078	1.2309	1.3859	1.5643
		0.17	2.1302	1.0236	1.0915	1.1971	1.3315	1.4869
		0.28	2.3952	1.0273	1.1057	1.2263	1.3775	1.5529
C-H	UD	0.12	1.6120	1.0314	1.1208	1.2567	1.4263	1.6464
		0.17	2.0163	1.0269	1.1039	1.2219	1.3708	1.5408
		0.28	2.2349	1.0321	1.1231	1.2609	1.4315	1.6333
	FG-X	0.12	1.6817	1.0290	1.1116	1.2380	1.3967	1.5848
		0.17	2.1223	1.0243	1.0942	1.2022	1.3390	1.5013
		0.28	2.3713	1.0286	1.1101	1.2346	1.3908	1.5685
	FG-O	0.12	1.4697	1.0379	1.1442	1.3032	1.4988	1.7438
		0.17	1.8160	1.0333	1.1274	1.2692	1.4450	1.6678
		0.28	2.0742	1.0373	1.1419	1.2985	1.4909	1.7407
H-H	UD	0.12	1.4598	1.0385	1.1465	1.3078	1.5056	1.7281
		0.17	1.7909	1.0342	1.1308	1.2763	1.4558	1.6588
		0.28	2.0430	1.0385	1.1465	1.3075	1.5037	1.7279
	FG-X	0.12	1.5712	1.0333	1.1276	1.2701	1.4469	1.6464
		0.17	1.9521	1.0289	1.1111	1.2366	1.3936	1.5730
		0.28	2.2273	1.0325	1.1246	1.2637	1.4357	1.6308
	FG-O	0.12	1.2490	1.0522	1.1956	1.4037	1.6525	1.9255
		0.17	1.5018	1.0483	1.1817	1.3763	1.6099	1.8698
		0.28	1.7611	1.0515	1.1930	1.3981	1.6431	1.9131