Biparametric perturbation solutions of large deflection problem of cantilever beams

DOI10.1007/S10483-006-0404-ZzbMath1144.74021OpenAlexW1984627209MaRDI QIDQ944642

Xiao-Ting He, Shan-lin Chen

Publication date: 17 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/s10483-006-0404-z

zbMATH Keywords

integral-differential equationfirst-order derivative substitutionpseudolinear analysis

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of equilibrium problems in solid mechanics (74G10)

Related Items (5)

L-P perturbation solution of nonlinear free vibration of prestressed orthotropic membrane in large amplitude ⋮ Application of biparametric perturbation method to functionally graded thin plates with different moduli in tension and compression ⋮ Nonlinear large deflection problems of beams with gradient: a biparametric perturbation method ⋮ Application of a biparametric perturbation method to large-deflection circular plate problems with a bimodular effect under combined loads ⋮ A biparametric perturbation method for the Föppl-von Kármán equations of bimodular thin plates

Cites Work

• Second-order approximation solution of nonlinear large deflection problems of Yongjiang railway bridge in Ningbo
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