Polynomial solutions to piezoelectric beams. I: Several exact solutions

DOI10.1007/BF02507718zbMath1144.74343OpenAlexW2025775228MaRDI QIDQ940030

Ai-Min Jiang, Hao-Jiang Ding

Publication date: 1 September 2008

Published in: Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02507718

zbMATH Keywords

exact solutionharmonic polynomialplane problempiezoelectric beam

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Texture in solid mechanics (74E25) Electromagnetic effects in solid mechanics (74F15) Nonsimple materials (74A30) Explicit solutions of equilibrium problems in solid mechanics (74G05)

Related Items (4)

Polynomial solutions to piezoelectric beams. II. Analytical solutions to typical problems ⋮ Analytical modeling of sandwich beam for piezoelectric bender elements ⋮ Modeling of sensor function for piezoelectric bender elements ⋮ 3D symplectic expansion for piezoelectric media

Cites Work

• On concentrated loads at the boundary of a piezoelectric half-plane
• General solution of plane problem of piezoelectric media expressed by ``harmonic functions
• A closed-form solution to simply supported piezoelectric beams under uniform exterior pressure
• Analytical solution of a simply supported piezoelectric beam subjected to a uniformly distributed loading
• Green's functions for a two–phase infinite piezoelectric plane

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