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

Author

Listed:
  • Tao Liu

    (Department of Mechatronic Engineering and Automation, Shanghai University, Shanghai 200072, China
    Department of Mechanical Engineering, Anhui University of Technology, Ma’anshan 243002, 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
    SUTD-Massachusetts Institute of Technology International Design Centre, Singapore 487372, Singapore)

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.

Suggested Citation

  • Tao Liu & Chaodong Li & Chao Wang & Joel Weijia Lai & Kang Hao Cheong, 2020. "A Simple-FSDT-Based Isogeometric Method for Piezoelectric Functionally Graded Plates," Mathematics, MDPI, vol. 8(12), pages 1-24, December.
    • Handle: RePEc:gam:jmathe:v:8:y:2020:i:12:p:2177-:d:457657
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    Citations

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    Cited by:

    1. Mashhour A. Alazwari & Ashraf M. Zenkour & Mohammed Sobhy, 2022. "Hygrothermal Buckling of Smart Graphene/Piezoelectric Nanocomposite Circular Plates on an Elastic Substrate via DQM," Mathematics, MDPI, vol. 10(15), pages 1-18, July.

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