Geometrical nonlinear waves in finite deformation elastic rods

DOI10.1007/BF02466342zbMath1144.74340OpenAlexW1995881390MaRDI QIDQ939915

Jian-Gang Guo, Li-Jun Zhou, Shan-Yuan Zhang

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/bf02466342

zbMATH Keywords

nonlinear wavefinite deformationmulti-scale methodviscous effecttransverse inertia effect

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Nonlinear waves in solid mechanics (74J30) Solitary waves in solid mechanics (74J35)

Related Items (5)

Reduction and bifurcation of traveling waves of the KdV-Burgers-Kuramoto equation ⋮ Nonlinear flexural waves and chaos behavior in finite-deflection Timoshenko beam ⋮ Three kinds of nonlinear dispersive waves in elastic rods with finite deformation ⋮ BOUNDED TRAVELING WAVES OF THE GENERALIZED BURGERS–FISHER EQUATION ⋮ Kink wave and saddle-spiral shock wave of a partial differential equation model of excitable media

Cites Work

• New transformations and new approach to find exact solutions to nonlinear equations

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