Frequency Domain Spectral Element Model for the Vibration Analysis of a Thin Plate with Arbitrary Boundary Conditions

Table 1

Comparison of the natural frequencies (Hz) of a square plate with simple-simple-simple-simple (S-S-S-S) edge support (Example ) obtained by exact theory, FEM [22], and SEM.

Mode	Exact	FEM			SEM
					1
			7403	29803	800
	4.857	4.831	4.856	4.856	4.857
	12.14	12.04	12.14	12.14	12.14
	19.43	19.03	19.41	19.42	19.43
	24.28	24.07	24.27	24.28	24.28
	31.57	30.72	31.53	31.56	31.57
	41.28	40.97	41.26	41.28	41.28
	43.71	41.87	43.62	43.70	43.71
	121.4	115.7	121.1	121.3	121.4
	485.7	N/A	480.4	485.3	485.7
	1943	N/A	1879	1922	1949

Note: : total number of finite elements; : total number of degrees of freedom.