Research article Vol. 13 No. 3 (2017): International Journal for Computational Civil and Structural Engineering

SOLUTION OF NON-LINEAR PROBLEMS OF STRUCTURAL MECHANICS BY METHOD OF STEEPEST DESCENT

Vladilen V. Petrov
103-111 DOI 10.22337/1524-5845-2017-13-3-103-111 Published 2017-09-11
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How to Cite

SOLUTION OF NON-LINEAR PROBLEMS OF STRUCTURAL MECHANICS BY METHOD OF STEEPEST DESCENT

Authors

  • Vladilen V. Petrov Yuri Gagarin State Technical University of Saratov, Saratov, RUSSIA

DOI:

https://doi.org/10.22337/1524-5845-2017-13-3-103-111

Keywords:

nonlinear structural mechanics, the method of successive loadings, the method of steepest descent

Abstract

The algorithm of application of the method of steepest descent to the solution of problems of structural mechanics and solid mechanics, described by nonlinear differential equations. For application of this method to nonlinear operators are described by a sequence of linear operators in incremental form, unlimited and complex linear operator, in line with the idea of L. V. Kantorovich is limited to a simple linear unbounded operator.

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Published

2017-09-11

Issue

Vol. 13 No. 3 (2017): International Journal for Computational Civil and Structural Engineering

Section

Research article

How to Cite

Petrov, V. V. (2017). SOLUTION OF NON-LINEAR PROBLEMS OF STRUCTURAL MECHANICS BY METHOD OF STEEPEST DESCENT. International Journal for Computational Civil and Structural Engineering, 13(3), 103-111. https://doi.org/10.22337/1524-5845-2017-13-3-103-111

Keywords

nonlinear structural mechanics, the method of successive loadings, the method of steepest descent

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