Two-dimensional analysis of simply supported piezoelectric beams with variable thickness

DOI10.1016/j.apm.2011.03.012zbMath1225.74059OpenAlexW2071264656MaRDI QIDQ646209

Yepeng Xu, Ding Zhou

Publication date: 11 November 2011

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apm.2011.03.012

zbMATH Keywords

beamvariable thicknesspiezoelectric materialFourier series expansion

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Control, switches and devices (``smart materials) in solid mechanics (74M05) Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of equilibrium problems in solid mechanics (74G10) Electromagnetic effects in solid mechanics (74F15) PDEs in connection with mechanics of deformable solids (35Q74)

Related Items (2)

Two-dimensional thermoelastic analysis of beams with variable thickness subjected to thermo-mechanical loads ⋮ Two-dimensional elasticity solution for bending of functionally graded beams with variable thickness

Cites Work

• Elasticity solution of clamped-simply supported beams with variable thickness
• Elasticity solution of multi-span beams with variable thickness under static loads
• Three-dimensional exact analysis of a simply supported functionally gradient piezoelectric plate.
• A closed-form solution to simply supported piezoelectric beams under uniform exterior pressure
• New state space formulations for transversely isotropic piezoelasticity with application
• Exact deflection solutions of beams with shear piezoelectric actuators
• An Exact Three-Dimensional Solution for Simply Supported Rectangular Piezoelectric Plates

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