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

Table 7

Comparison between the normalized fundamental frequency and the elastic foundation parameter for the simply supported squared plate ( and a/h = 5).

,	Nonlinear treatment methods	= 0	= 50	= 100
0, 0	Perturbation	17.4590	17.4590	17.4590
	Execution time (sec)	0.480763	1.2346	1.2210
	Iterative quadrature	17.4590	17.4590	17.4590
	Execution time (sec)	0.480763	0.743408	0.818601
	Analytical [68]	17.5055	—	—
100, 10	Perturbation	24.2807	24.2807	24.2807
	Execution time (sec)	0.469989	1.1744	1.2081
	Iterative quadrature	24.2807	24.2807	24.2807
	Execution time (sec)	0.469989	0.629148	0.651756
	Analytical [68]	24.3074	—	—
1000, 100	Perturbation	56.0318	56.0318	56.0318
	Execution time (sec)	0.439478	1.1496	1.1351
	Iterative quadrature	56.0318	56.0318	56.0318
	Execution time (sec)	0.439478	0.620471	0.572076
	Analytical [68]	56.0359	—	—