Nonlinear Computational Structural Mechanics: New Approaches and Non-Incremental Methods of Calculation (Mechanical Engineering Series) - Hardcover

Ladeveze, Pierre

Hardcover

ISBN 10: 0387985948 ISBN 13: 9780387985947

Publisher: Springer, 1998

Synopsis

This book treats computational modeling of structures in which strong nonlinearities are present. It is therefore a work in mechanics and engineering, although the discussion centers on methods that are considered parts of applied mathematics. The task is to simulate numerically the behavior of a structure under various imposed excitations, forces, and displacements, and then to determine the resulting damage to the structure, and ultimately to optimize it so as to minimize the damage, subject to various constraints. The method used is iterative: at each stage an approximation to the displacements, strains, and stresses throughout the structure is computated and over all times in the interval of interest. This method leads to a general approach for understanding structural models and the necessary approximations.

About this title

Product Description

Nonlinear Computational Structural Mechanics Covers computational modeling of structures in which strong nonlinearities are present. This book attempts to simulate the behavior of a structure under various imposed excitations, loads, and displacements in order to optimize the structure and to minimize the damage subject to various constraints.

Synopsis

This book treats computational modeling of structures in which strong nonlinearities are present. It is therefore a work in mechanics and engineering, although the discussion centers on methods of solution and approximation that are classically considered as parts of applied mathematics. The goal is to simulate numerically the behavior of a structure under various imposed excitations, forces, and displacements, and then to determine the resulting damage to the structure, and ultimately to optimize the structure to minimize the damage subject to various constraints. Practical applications of the methods include design and optimization of structures and analyses of their reliability. The method used is iterative: at each stage one computes an approximation to the displacements, strains, and stresses everywhere in the structure and for all times in the interval of interest. The method rests on some remarkable properties satisfied by most of the models encountered in structural mechanics, and it leads to a general approach for understanding structural models and the necessary approximations.

Edition details

• Publisher: Springer
• Publication date: 1998
• ISBN 10: 0387985948
• ISBN 13: 9780387985947
• Binding: Hardcover
• Language: English
• Number of pages: 234