Vibration behaviors of functionally graded rectangular plates with porosities and moving in thermal environment

Yan Qing Wang, Jean W. Zu

Research output: Contribution to journalArticlepeer-review

271 Scopus citations

Abstract

A first known study is conducted on the vibrations of functionally graded material (FGM) rectangular plates with porosities and moving in thermal environment. The FGM plates contain porosities owing to the technical issues during the preparation of FGMs. Two types of porosity distribution, namely, even and uneven distribution, are considered. The geometric nonlinearity is taken into account by using von Kármán nonlinear plate theory. The out-of-plane equation of motion of the system is derived based on the D'Alembert's principle with the consideration of the thermal effect and longitudinal speed. Then the Galerkin method is employed to discretize the partial differential equation of motion to a set of ordinary differential equations. These time-varying ordinary differential equations are solved analytically by means of the method of harmonic balance. The accuracy of approximately analytical solutions is verified by the adaptive step-size fourth-order Runge–Kutta technique. Additionally, the stability of steady-state solutions is analyzed for the analytical solutions. Vibration characteristics such as natural frequency and nonlinear frequency response are shown. The present model is a hardening-spring system based on the nonlinear frequency response results. Effects of some key parameters are investigated on the vibration of rectangular FGM plates with porosities and moving in thermal environment.

Original languageEnglish
Pages (from-to)550-562
Number of pages13
JournalAerospace Science and Technology
Volume69
DOIs
StatePublished - Oct 2017

Keywords

  • Functionally graded rectangular plate
  • Harmonic balance method
  • Large-amplitude vibration
  • Moving
  • Porosity
  • Thermal environment

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