Three-dimensional analytical solution for the instability of a parallel array of mutually attracting identical simply supported piezoelectric microplates

DOI10.1007/S00033-017-0886-5zbMath1378.35298OpenAlexW2768030934MaRDI QIDQ680173

Xu Wang, Lei Liu

Publication date: 22 January 2018

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00033-017-0886-5

zbMATH Keywords

transfer matrixgeneralized eigenvalue problemstructural instabilitycritical interaction coefficientfundamental piezoelectricity matrixpiezoelectric microplatesurface attractive force

Mathematics Subject Classification ID

Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of equilibrium problems in solid mechanics (74G10) Bifurcation and buckling (74G60) Electromagnetic effects in solid mechanics (74F15) Explicit solutions of equilibrium problems in solid mechanics (74G05) PDEs in connection with mechanics of deformable solids (35Q74)

Related Items (1)

Elasticity solutions of functionally graded piezoelectric plates under electric fields in cylindrical bending

Cites Work

• Unnamed Item
• Pull-in instability of two opposing microcantilever arrays with different bending rigidities
• Combined action of Casimir and electrostatic forces on nanocantilever arrays
• Exact Solution for Simply Supported and Multilayered Magneto-Electro-Elastic Plates

This page was built for publication: Three-dimensional analytical solution for the instability of a parallel array of mutually attracting identical simply supported piezoelectric microplates