Modeling and Simulation of Transverse Free Vibration Analysis of a Rectangular Plate with Cutouts Using Energy Principles

Table 1

Convergence of the first six natural frequencies (Hz) of the square plate with square opening 1.1 m × 1.1 m for different boundary conditions.

Boundary conditions		Mode number
		1	2	3	4	5	6
CCCC-FFFF		13.2	15.9	18.7	22.0	22.6	29.0
		13.2	15.9	18.7	21.9	22.5	28.8
		13.2	15.8	18.7	21.9	22.4	28.7
		13.2	15.8	18.7	21.9	22.4	28.7
	ANSYS	13.1	15.6	18.7	21.7	22.0	28.1
SSSS-FFFF		4.4	7.8	7.8	13.6	14.6	21.6
		4.4	7.7	7.7	13.6	14.4	21.5
		4.4	7.7	7.7	13.5	14.4	21.5
		4.4	7.7	7.7	13.5	14.4	21.5
	ANSYS	4.4	7.6	7.6	13.5	13.9	21.1