Free Vibration Analysis of Arbitrary-Shaped Plates Based on the Improved Rayleigh–Ritz Method

Table 9

Natural frequencies of the triangular plate under the condition of elastic boundary (Hz).

k (N/m^2)	Mode
		1	2	3	4	5	6
10^6	Present method	37.63	92.79	149.08	204.17	256.77	365.43
	FEM	37.35	92.24	148.06	202.88	255.07	362.61
	Error (%)	0.76	0.59	0.69	0.64	0.67	0.78
10^7	Present method	81.44	133.47	175.81	228.84	276.61	379.54
	FEM	80.86	80.86	80.86	80.86	80.86	80.86
	Error (%)	0.72	0.60	0.81	0.62	0.74	0.91
10^8	Present method	117.03	219.36	281.84	343.33	398.05	483.37
	FEM	116.35	218.15	279.74	341.69	395.28	478.54
	Error (%)	0.59	0.55	0.75	0.48	0.70	1.01