A Numerical Algorithm for a Kirchhoff-Type Nonlinear Static Beam-Reference-Cited by-同舟云学术

A Numerical Algorithm for a Kirchhoff-Type Nonlinear Static Beam

Published:2009 Issue: Volume:2009 Page:1-12
ISSN:1110-757X
Container-title:Journal of Applied Mathematics
language:en
Short-container-title:Journal of Applied Mathematics

Author:

Peradze Jemal¹

Affiliation:

1. Faculty of Exact and Natural Sciences, I. Javakhishvili Tbilisi State University, 2 University St., 0143 Tbilisi, Georgia

Abstract

A boundary value problem is posed for an integro-differential beam equation. An approximate solution is found using the Galerkin method and the Jacobi nonlinear iteration process. A theorem on the algorithm error is proved.

Publisher

Hindawi Limited

Subject

Applied Mathematics

Link

http://downloads.hindawi.com/journals/jam/2009/818269.pdf

Reference27 articles.

1. The Effect of an Axial Force on the Vibration of Hinged Bars

2. Initial-boundary value problems for an extensible beam

3. Stability theory for an extensible beam

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