A Simple-FSDT-Based Isogeometric Method for Piezoelectric Functionally Graded Plates

Tao Liu, Chaodong Li, Chao Wang, Joel Weijia Lai and Kang Hao Cheong
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Tao Liu: Department of Mechatronic Engineering and Automation, Shanghai University, Shanghai 200072, China
Chaodong Li: Department of Mechatronic Engineering and Automation, Shanghai University, Shanghai 200072, China
Chao Wang: Department of Mechanical Engineering, Anhui University of Technology, Ma’anshan 243002, China
Joel Weijia Lai: Science, Mathematics and Technology Cluster, Singapore University of Technology and Design (SUTD), 8 Somapah Road, Singapore 487372, Singapore
Kang Hao Cheong: Science, Mathematics and Technology Cluster, Singapore University of Technology and Design (SUTD), 8 Somapah Road, Singapore 487372, Singapore

Mathematics, 2020, vol. 8, issue 12, 1-24

Abstract: An efficient isogeometric analysis method (IGA) based on a simple first-order shear deformation theory is presented to study free vibration, static bending response, dynamic response, and active control of functionally graded plates (FGPs) integrated with piezoelectric layers. Based on the neutral surface, isogeometric finite element motion equations of piezoelectric functionally graded plates (PFGPs) are derived using the linear piezoelectric constitutive equation and Hamilton’s principle. The convergence and accuracy of the method for PFGPs with various mechanical and electrical boundary conditions have been investigated via free vibration analysis. In the dynamic analysis, both time-varying mechanical and electrical loads are involved. A closed-loop control method, including displacement feedback control and velocity feedback control, is applied to the static bending control and the dynamic vibration control analysis. The numerical results obtained are accurate and reliable through comparisons with various numerical and analytical examples.

Keywords: isogeometric analysis method; simple first-order shear deformation theory; piezoelectric functionally graded plates; neutral surface; dynamic response; closed loop control (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
References: View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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