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

被引:7
作者
Ragb, Ola [1 ]
Salah, Mohamed [1 ]
Matbuly, M. S. [1 ]
Amer, R. B. M. [1 ]
机构
[1] Zagazig Univ, Fac Engn, Dept Engn Math & Phys, Zagazig 44519, Egypt
关键词
RECTANGULAR-PLATES; MINDLIN PLATES; COLLOCATION METHOD; LAMINATED PLATES; CONICAL SHELLS; ELEMENT-METHOD; THICK PLATES; STABILITY; FREQUENCY; BEAMS;
D O I
10.1155/2020/7592302
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
In this work, free vibration of the piezoelectric composite plate resting on nonlinear elastic foundations is examined. The three-dimensionality of elasticity theory and piezoelectricity is used to derive the governing equation of motion. By implementing two differential quadrature schemes and applying different boundary conditions, the problem is converted to a nonlinear eigenvalue problem. The perturbation method and iterative quadrature formula are used to solve the obtained equation. Numerical analysis of the proposed schemes is introduced to demonstrate the accuracy and efficiency of the obtained results. The obtained results are compared with available results in the literature, showing excellent agreement. Additionally, the proposed schemes have higher efficiency than previous schemes. Furthermore, a parametric study is introduced to investigate the effect of elastic foundation parameters, different materials of sensors and actuators, and elastic and geometric characteristics of the composite plate on the natural frequencies and mode shapes.
引用
收藏
页数:22
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