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Dynamic instability of laminated piezoelectric shell
Xinmai Yang,Ya-Peng Shen +1 more
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TLDR
Wang et al. as discussed by the authors studied the stability of piezoelectric circular cylindrical shells and piezothermoelastic shells and performed exact studies of the shell type structures.About:
This article is published in International Journal of Solids and Structures.The article was published on 2001-04-01. It has received 19 citations till now. The article focuses on the topics: Piezoelectric sensor.read more
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Recent research advances on the dynamic analysis of composite shells: 2000-2009
TL;DR: A review of the state-of-the-art in the area of dynamic analysis of composite shells can be found in this article, where the main aim is to provide a broad perspective of the current state of the art in this field.
Journal ArticleDOI
Non-linear analysis of dynamic stability for functionally graded cylindrical shells under periodic axial loading
TL;DR: In this paper, a simple solution of the dynamic stability of functionally graded shells under periodic axial loading based on large deflection theory is presented, where material properties are assumed to be temperature-dependent, and graded in the thickness direction according to a simple power law distribution in terms of the volume fractions of the constituents.
Journal ArticleDOI
Nonlinear Oscillations and Stability of Parametrically Excited Cylindrical Shells
Abstract: Based on Donnell shallow shell equations, the nonlinear vibrations and dynamic instability of axially loaded circular cylindrical shells under both static and harmonic forces is theoretically analyzed First the problem is reduced to a finite degree-of-freedom one by using the Galerkin method; then the resulting set of coupled nonlinear ordinary differential equations of motion are solved by the Runge-Kutta method To study the nonlinear behavior of the shell, several numerical strategies were used to obtain Poincare maps, Lyapunov exponents, stable and unstable fixed points, bifurcation diagrams, and basins of attraction Particular attention is paid to two dynamic instability phenomena that may arise under these loading conditions: parametric excitation of flexural modes and escape from the pre-buckling potential well Calculations are carried out for the principal and secondary instability regions associated with the lowest natural frequency of the shell Special attention is given to the determination of the instability boundaries in control space and the identification of the bifurcational events connected with these boundaries The results clarify the importance of modal coupling in the post-buckling solution and the strong role of nonlinearities on the dynamics of cylindrical shells
Journal ArticleDOI
Dynamic stability of functionally graded piezoelectric circular cylindrical shells
TL;DR: In this article, a three-dimensional theoretical analysis of the dynamic instability region of functionally graded (FG) piezoelectric circular cylindrical shells is presented, where the shells are subjected to a combined loading of periodic axial compression and electric field in the radial direction.
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Analysis of dynamic stability for composite laminated cylindrical shells with delaminations
Jinhua Yang,Yiming Fu +1 more
TL;DR: In this paper, a set of dynamic governing equations for the delaminated cylindrical shells is derived by introducing the Heaviside step function into the assumed displacement components and using the Rayleigh-Ritz method for minimizing the total potential energy.
References
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Parametric instability of thick, orthotropic, circular cylindrical shells
Charles W. Bert,Victor Birman +1 more
TL;DR: In this paper, the dynamic instability of simply supported, finite-length, circular cylindrical shells subjected to parametric excitation by axial loading is investigated analytically.
Journal ArticleDOI
Exact solution of orthotropic cylindrical shell with piezoelectric layers under cylindrical bending
TL;DR: In this article, an exact elasticity solution for an orthotropic cylindrical shell with piezoelectric layers is obtained, and the stress and displacement distributions are presented, respectively.
Journal ArticleDOI
Nonlinear piezothermoelasticity and multi-field actuations, part 1: Nonlinear anisotropic piezothermoelastic shell laminates
Horn-Sen Tzou,Y. Bao +1 more
TL;DR: In this paper, a generic nonlinear piezothermoelastic shell lamination theory is proposed and its nonlinear thermo-electromechanical equations are derived based on Hamilton's principle.
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