Mathematical Models for the Propagation of Stress Waves in Elastic Rods: Exact Solutions and Numerical Simulation

DOI10.4208/aamm.2013.m383zbMath1499.74058OpenAlexW2460452042MaRDI QIDQ5153651

H. M. Tenkam, I. A. Fedotov, Roumen Anguelov, M. Yu. Shatalov

Publication date: 30 September 2021

Published in: Advances in Applied Mathematics and Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4208/aamm.2013.m383

zbMATH Keywords

exact solutionhypergeometric functionsmethod of linesvariable cross-sectionlongitudinal vibration of rods

Mathematics Subject Classification ID

Surface waves in solid mechanics (74J15) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20) Applications of hypergeometric functions (33C90) Initial-boundary value problems for higher-order hyperbolic equations (35L35) PDEs in connection with mechanics of deformable solids (35Q74)

Cites Work

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• Theory of free and forced vibrations of a rigid rod based on the Rayleigh model
• Linear Elastic Waves
• EXACT SOLUTIONS FOR THE LONGITUDINAL VIBRATION OF NON-UNIFORM RODS
• A Compendium of Partial Differential Equation Models
• Vibration of rods with uniformly tapered sections
• Vibration of non-uniform rods and beams

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