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Thermoelastic buckling analysis of laminated piezoelectric composite plates

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Abstract

This article addresses thermoelastic buckling and active control of thermoelastic buckling for laminated composite plates by piezoelectric actuator/sensor pairs for feedback. As a novelty, a partial hierarchical Rayleigh–Ritz method is developed for static analysis of composite plates with collocated piezoelectric transducers. The major contribution of this article is to investigate the influence of thermal/electrical loadings by changing the active stiffness of laminated plate for postponing buckling behavior by shifting plate critical temperature based on piezoelectrically stiffened properties. The governing equations are extracted based on von Karman’s theory using variational methods to study the geometric and piezoelectric effects, such as plate aspect ratio, layer sequencing, active voltage, and feedback gains, on the critical temperature subject to different electrical conditions. Results show that happening of thermal buckling for a plate could be postponed by applying a negative voltage to actuators and by locating the actuators further far from plate mid-plane. To demonstrate the validity of the presented model, the results are compared with available data in the literature.

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Correspondence to Hamid Reza Mirdamadi.

Appendix

Appendix

See Appendix equations.

$$ {\mathbf{C}}_{{\mathbf{M}}} = \left[ {\begin{array}{*{20}c} {\frac{{\partial N_{u} }}{\partial x}} & {0_{1\, \times \,q1} } & {0_{1\, \times \,q2} } \\ {0_{1\, \times \,q1} } & {\frac{{\partial N_{v} }}{\partial y}} & {0_{1\, \times \,q2} } \\ {\frac{{\partial N_{u} }}{\partial y}} & {\frac{{\partial N_{v} }}{\partial x}} & {0_{1\, \times \,q2} } \\ \end{array} } \right], $$
(40)
$$ {\mathbf{C}}_{{\mathbf{B}}} = \left[ {\begin{array}{*{20}c} {0_{1\, \times \,q1} } & {0_{1\, \times \,q1} } & { - \frac{{\partial^{2} N_{w} }}{{\partial x^{2} }}} \\ {0_{1\, \times \,q1} } & {0_{1\, \times \,q1} } & { - \frac{{\partial^{2} N_{w} }}{{\partial y^{2} }}} \\ {0_{1\, \times \,q1} } & {0_{1\, \times \,q1} } & { - 2\frac{{\partial^{2} N_{w} }}{\partial x\partial y}} \\ \end{array} } \right]. $$
(41)

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Panahandeh-Shahraki, D., Mirdamadi, H.R. & Vaseghi, O. Thermoelastic buckling analysis of laminated piezoelectric composite plates. Int J Mech Mater Des 11, 371–385 (2015). https://doi.org/10.1007/s10999-014-9284-8

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  • DOI: https://doi.org/10.1007/s10999-014-9284-8

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