Transverse Vibration of the Thin Plates: Frequency-Domain Spectral Element Modeling and Analysis

Table 2

Comparison of the natural frequencies (Hz) of the clamped square plate with a square cutout inside (Example ) obtained by ANSYS, FEM [27], and SEM.

Modes	ANSYS	FEM			SEM
	= 12801; = 78726	= 3201; = 9603	7201; 22323	12801; 39363	= 8; = 608	8; 928	8; 1,888
1	55.13	55.10	55.13	55.13	55.15	55.13	55.13
2	55.73	55.69	55.73	55.73	55.75	55.73	55.73
3	56.62	56.55	56.57	56.62	56.67	56.64	56.62
4	65.52	65.48	65.49	65.51	65.59	65.54	65.53
5	69.60	69.53	69.57	69.60	69.68	69.63	69.60
6	77.19	77.05	77.15	77.18	77.30	77.24	77.20
7	83.18	83.05	83.15	83.17	83.33	83.28	83.20
8	94.63	94.43	94.56	94.60	94.71	94.65	94.64

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