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

Table 3

Comparison of the natural frequencies (Hz) of a square plate with free-free-free-clamped (F-F-F-C) edge support obtained by ANSYS [21], FEM [22], and SEM.

Modes	ANSYS	FEM			SEM
					1
		330	7650	30300	1204
1	0.851	0.851	0.851	0.851	0.851
2	2.059	2.060	2.059	2.059	2.059
3	5.194	5.206	5.194	5.193	5.193
4	6.662	6.655	6.662	6.662	6.663
5	7.527	7.530	7.526	7.526	7.524
6	13.19	13.13	13.18	13.18	13.18
7	15.04	15.09	15.04	15.04	15.04
8	15.67	15.68	15.67	15.66	15.67
9	17.39	17.41	17.39	17.39	17.38
10	22.70	22.47	22.69	22.70	22.70

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