Vibration Analysis of Piezoelectric Composite Plate Resting on Nonlinear Elastic Foundations Using Sinc and Discrete Singular Convolution Differential Quadrature Techniques

Table 5

Comparison between the normalized fundamental frequency β using the discrete singular convolution differential quadrature method on regularized Shannon kernel (DSCDQM-RSK), bandwidth (2M + 1), regularization parameter σ, and grid size N for the simply supported square isotropic plate (, , , , and ).

Fundamental frequency	Regularization parameter	DSCDQM-RSK
N	2M + 1	σ = 1 × hx	σ = 1.5 × hx	σ = 1.9 × hx	σ = 2.3 × hx
3	3	55.9564	55.9468	55.9853	56.0821
	5	55.9561	55.8991	55.9780	56.0706
	7	55.9561	55.8991	55.9780	56.0706
5	3	55.8758	55.9715	56.0318	56.0318
	5	55.8758	55.9715	56.0318	56.0318
	7	55.8758	55.9715	56.0318	56.0318
7	3	55.8507	55.9392	56.0318	56.0318
	5	55.9563	55.9790	56.0318	56.0318
	7	55.9926	55.9917	56.0318	56.0318
9	3	55.9259	55.9857	56.0318	56.0318
	5	55.9823	55.9733	56.0318	56.0318
	7	55.9506	56.0193	56.0318	56.0318