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作者:

Yao, Ming Hui (Yao, Ming Hui.) (学者:姚明辉) | Niu, Yan (Niu, Yan.) | Zhang, Wei (Zhang, Wei.)

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EI Scopus

摘要:

In this paper, the nonlinear dynamics of a simply supported functionally graded materials (FGM) conical panel with different forms of initial imperfections is investigated. The conical panel is subjected to the simple harmonic excitation along the radial direction and the parametric excitation in the meridian direction. The small initial geometric imperfection of the conical panel is expressed by the form of the Cosine functions. According to a power-law distribution, the effective material properties are assumed to be graded along the thickness direction. Based on the first-order shear deformation theory and von Karman type nonlinear geometric relationship, the nonlinear equations of motion are established by using the Hamilton principle. The nonlinear partial differential governing equations are truncated by Galerkin's method to obtain the ordinary differential equations along the radial displacement. The effects of imperfection types, half-wave numbers and amplitudes on the dynamic behaviors are studied by numerical simulation. Maximum Lyapunov exponents, bifurcation diagrams, time histories and phase portraits are obtained to show the dynamic response. © Copyright 2017 ASME.

关键词:

Cosine transforms Design Dynamics Equations of motion Functionally graded materials Galerkin methods Lyapunov methods Nonlinear equations Ordinary differential equations Plates (structural components) Shear deformation

作者机构:

  • [ 1 ] [Yao, Ming Hui]College of Mechanical Engineering, Beijing University of Technology, Beijing; 100124, China
  • [ 2 ] [Niu, Yan]College of Mechanical Engineering, Beijing University of Technology, Beijing; 100124, China
  • [ 3 ] [Zhang, Wei]College of Mechanical Engineering, Beijing University of Technology, Beijing; 100124, China

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年份: 2017

卷: 6

语种: 英文

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SCOPUS被引频次: 1

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