Tuned deep neural network for computer simulation of chaotic performance of the electromechanical annular system coupled with a piezoelectric patch

• Published in: Waves in random and complex media Vol. 34; no. 4; pp. 3077 - 3117
• Main Authors: Liu, Yue, Su, Xiaoguang
• Format: Journal Article
• Language: English
• Published: Abingdon Taylor & Francis 03.07.2024; Taylor & Francis Ltd
• Subjects: Annular plates; Artificial neural networks; Boundary conditions; Chaos theory; Chaotic behavior; Computer simulation; Differential equations; Frequency stability; Graphene; Hamilton's principle; Mechanical properties; Motion stability; piezoelectric patch; Piezoelectricity; Poincaré section; Quadratures; quasi-harmonic motion; Thickness; Two dimensional models; Von Karman nonlinearity
• ISSN: 1745-5030; 1745-5049
• DOI: 10.1080/17455030.2021.1971327

In this paper, an attempt is made to extend a nonlinear two-dimensional model for large oscillation and chaotic characteristics of the annular plate coupled with a piezoelectric patch subject to external excitation. For improving the mechanical properties, the core of the electrically structure is reinforced with graphene nanoplatelets. Von-Karman nonlinear theory and Hamilton's principle are taken into consideration for the exact derivation of the general nonlinear governing equations and boundary conditions of the axisymmetric annular plate coupled with a piezoelectric patch. For developing a precise solution approach, the generalized differential quadrature element method, and Multiple scales technique, are eventually used. The results demonstrate that radius ratio, applied voltage, thickness to radius ratio, and harmonic load have an important role in the nonlinear large oscillation, and chaotic motion of the graphene platelets reinforced composite (GPLRC) annular plate coupled with a piezoelectric patch. The golden and fundamental result of the current research is that, as the thickness of the piezoelectric patch increases, the system's nonlinear frequency decreases, and the area of instability in responses and maximum amplitude or the peak point of the backbone curve of the smart annular plate increases.