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Vibration Analysis of Piezoelectric Composite Plate Resting on Nonlinear Elastic Foundations Using Sinc and Discrete Singular Convolution Differential Quadrature Techniques
Joint Authors
Ragb, Ola
Salah, Mohamed
Matbuly, M. S.
Amer, R. B. M.
Source
Mathematical Problems in Engineering
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-22, 22 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-07-15
Country of Publication
Egypt
No. of Pages
22
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Ragb, Ola& Salah, Mohamed& Matbuly, M. S.& Amer, R. B. M.. 2020. Vibration Analysis of Piezoelectric Composite Plate Resting on Nonlinear Elastic Foundations Using Sinc and Discrete Singular Convolution Differential Quadrature Techniques. Mathematical Problems in Engineering،Vol. 2020, no. 2020, pp.1-22.
https://search.emarefa.net/detail/BIM-1198099
Modern Language Association (MLA)
Ragb, Ola…[et al.]. Vibration Analysis of Piezoelectric Composite Plate Resting on Nonlinear Elastic Foundations Using Sinc and Discrete Singular Convolution Differential Quadrature Techniques. Mathematical Problems in Engineering No. 2020 (2020), pp.1-22.
https://search.emarefa.net/detail/BIM-1198099
American Medical Association (AMA)
Ragb, Ola& Salah, Mohamed& Matbuly, M. S.& Amer, R. B. M.. Vibration Analysis of Piezoelectric Composite Plate Resting on Nonlinear Elastic Foundations Using Sinc and Discrete Singular Convolution Differential Quadrature Techniques. Mathematical Problems in Engineering. 2020. Vol. 2020, no. 2020, pp.1-22.
https://search.emarefa.net/detail/BIM-1198099
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1198099