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Author:

Yao, Ming Hui (Yao, Ming Hui.) | Niu, Yan (Niu, Yan.) | Zhang, Wei (Zhang, Wei.)

Indexed by:

EI Scopus

Abstract:

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.

Keyword:

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

Author Community:

  • [ 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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Year: 2017

Volume: 6

Language: English

Cited Count:

WoS CC Cited Count: 0

SCOPUS Cited Count: 1

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 17

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