Dynamic Analysis of Distributed Piezothermoelastic Composite Plate Using First-Order Shear Deformation Theory

Heidary, Fariborz; Eslami, M. R.

doi:10.1080/01495730490466192

Cited by 11 publications

(1 citation statement)

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“…Krommer and Irschik [11] studied the flexural vibrations of composite piezoelectric plates subjected to the effective thermal load. Heidary and Eslami [12] made use of the first-order shear deformation plate theory to explore the dynamic response of a piezo-thermoelastic composite plate under prescribed thermal loading. Ribeiro [13] applied the first-order shear deformation finite element to examine the nonlinear vibrations of plates under thermal fields and mechanical excitations.…”

Section: Introductionmentioning

confidence: 99%

Multi-pulse orbits dynamics of composite laminated piezoelectric rectangular plate

Yao

Zhang

Yao

2011

Sci. China Technol. Sci.

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The multi-pulse orbits and chaotic dynamics of a simply supported laminated composite piezoelectric rectangular plate under combined parametric excitation and transverse excitation are studied in detail. It is assumed that different layers are perfectly bonded to each other with piezoelectric actuator patches embedded. The nonlinear equations of motion for the laminated composite piezoelectric rectangular plate are derived from von Karman-type equation and third-order shear deformation plate theory of Reddy. The two-degree-of-freedom dimensionless equations of motion are obtained by using the Galerkin approach to the partial differential governing equation of motion for the laminated composite piezoelectric rectangular plate. The four-dimensional averaged equation in the case of primary parametric resonance and 1:3 internal resonances is obtained by using the method of multiple scales. From the averaged equation, the theory of normal form is used to find the explicit formulas of normal form. Based on the normal form obtained, the energy phase method is utilized to analyze the multi-pulse global bifurcations and chaotic dynamics for the laminated composite piezoelectric rectangular plate. The analysis of the global dynamics indicates that there exist multi-pulse jumping orbits in the perturbed phase space of the averaged equation. Based on the averaged equation obtained, the chaotic motions and the Shilnikov type multi-pulse orbits of the laminated composite piezoelectric rectangular plate are also found by numerical simulation. The results obtained above mean the existence of the chaos in the Smale horseshoe sense for the simply supported laminated composite piezoelectric rectangular plate. laminated composite piezoelectric rectangular plates, multi-pulse orbit, chaotic dynamics, energy phase method Citation:

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Section: Introductionmentioning

confidence: 99%