Mechanical systems with neo-Hookean elements: Stability and behavior - Couverture souple

STANESCU, NICOLAE-DORU

 
9783844300079: Mechanical systems with neo-Hookean elements: Stability and behavior
Couverture souple
ISBN 10 : 3844300074 ISBN 13 : 9783844300079
Editeur : LAP LAMBERT Academic Publishing, 2011

Synopsis

The study of the non-linear system is usually avoided in the engineering literature because of the mathematical complications which appear in this situation. The author introduces the concept of neo-Hookean element, that is a non-linear elastic element for which the elastic force depends on the elongation both linear and at a negative integer power. These elements are then used in different mechanical systems from the most simple to very complicated. For each system are obtained the non-linear differential equations of motion, are studied the stabilities and are made comparisons between different cases of non-linearity and between the neo-Hookean case and the linear one. Keeping into account the non-linearity, the equilibrium position is not unique and in this book the reader can find a complete study of the equilibriums. Since the force depends on a negative integer power of the elongation the study must be separately made for positive and negative elongations. Some unusual behaviors very often met in practice are easily explained using the neo-Hookean elements.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Présentation de l'éditeur

The study of the non-linear system is usually avoided in the engineering literature because of the mathematical complications which appear in this situation. The author introduces the concept of neo-Hookean element, that is a non-linear elastic element for which the elastic force depends on the elongation both linear and at a negative integer power. These elements are then used in different mechanical systems from the most simple to very complicated. For each system are obtained the non-linear differential equations of motion, are studied the stabilities and are made comparisons between different cases of non-linearity and between the neo-Hookean case and the linear one. Keeping into account the non-linearity, the equilibrium position is not unique and in this book the reader can find a complete study of the equilibriums. Since the force depends on a negative integer power of the elongation the study must be separately made for positive and negative elongations. Some unusual behaviors very often met in practice are easily explained using the neo-Hookean elements.

Biographie de l'auteur

Nicolae-Doru Stanescu, PhD Eng., PhD Math.: Studied Mechanical Engineering at University "Politehnica" Bucharest, and Mathematics at University at University of Pitesti. Professor at University of Pitesti, Department of Applied Mechanics.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
LAP LAMBERT Academic Publishing
Date d'édition
2011
Langue
anglais
ISBN 10 
3844300074
ISBN 13 
9783844300079
Reliure
Broché
Nombre de pages
188
Coordonnées du fabricant
non disponible
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