1985•IMA Journal of Applied MathematicsRequires access

Finite Deformations of Thin Beams, Asymptotic Analysis by Singular Perturbation Methods

Christian Schmeiser

Abstract

Boundary-value problems for a system of singularly perturbed non-linear ordinary differential equations modelling large deflections of thin beams are examined. Using the theory of singularly perturbed boundary value problems we establish the existence of locally unique solutions and derive asymptotic expansions.

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Key concepts: Singular perturbation, Method of matched asymptotic expansions, Boundary value problem, Ordinary differential equation, Mathematical analysis, Mathematics, Asymptotic analysis, Perturbation (astronomy)