Vibration Analysis of Thin Plate Structures Subjected to a Moving Force Using Frequency-Domain Spectral Element Method

Table 1

Comparison of the natural frequencies (Hz) of the S-S-S-S single-span square plate (Example 1) obtained by the exact theory [37], FEM [38], and SEM.

Mode number (m, n)	Exact	FEM (nE, nD)			SEM (nE, nD)
		nE = 10 × 10, nD = 279	nE = 50 × 50, nD = 7399	nE = 100 × 100, nD = 29799	nE = 1 × 1, nD = 636
(1,1)	4.857	4.831	4.856	4.856	4.857
(1,2)	12.14	12.04	12.14	12.14	12.14
(2,2)	19.43	19.03	19.41	19.42	19.43
(1,3)	24.28	24.07	24.27	24.28	24.28
(2,3)	31.57	30.72	31.53	31.56	31.57
(1,4)	41.28	40.97	41.26	41.28	41.28
(3,3)	43.71	41.87	43.62	43.69	43.71
(2,4)	48.57	47.17	48.50	48.55	48.58
(3,4)	60.71	57.63	60.56	60.67	60.71
(1,5)	63.14	62.82	63.11	63.13	63.14

Note. n_E = total number of finite elements and n_D = total number of DOFs.