One-dimensional dynamic equations of a piezoelectric semiconductor beam with a rectangular cross section and their application in static and dynamic characteristic analysis

DOI10.1007/s10483-018-2325-6zbMath1392.74045OpenAlexW2790241541MaRDI QIDQ725128

Peng Li, Jianxun Ma, Feng Jin

Publication date: 1 August 2018

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

Full work available at URL: https://doi.org/10.1007/s10483-018-2325-6

zbMATH Keywords

stress relaxationdouble power series expansion techniqueinitial carrier densitypiezoelectric semiconductor beamreduced one-dimensional (1D) equation

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of dynamical problems in solid mechanics (74H10)

Related Items (6)

Size-dependent and nonlinear magneto-mechanical coupling characteristics analysis for extensional vibration of composite multiferroic piezoelectric semiconductor nanoharvester with surface effect ⋮ Free vibration of a piezoelectric semiconductor plate ⋮ Exact solutions for plane stress problems of piezoelectric semiconductors: tuning free-carrier motions by various mechanical loadings ⋮ Nonlinear magneto-mechanical-thermo coupling characteristic analysis for transport behaviors of carriers in composite multiferroic piezoelectric semiconductor nanoplates with surface effect ⋮ Extension of a piezoelectric semiconductor fiber with consideration of electrical nonlinearity ⋮ Compensation of stress intensity factors in hollow cylinders containing several cracks under torsion by electro-elastic coating

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