Model Order Reduction for Design, Analysis and Control of Nonlinear Vibratory Sy

$259.16

Model Order Reduction for Design, Analysis and Control of Nonlinear Vibratory Systems by Cyril Touzé, Attilio Frangi

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Format Hardcover

Condition Brand New

Description The book presents reduction methods that are using tools from dynamical systems theory in order to provide accurate models for nonlinear dynamical solutions occurring in mechanical systems featuring either smooth or non smooth nonlinearities.

Publisher Description

The book presents reduction methods that are using tools from dynamical systems theory in order to provide accurate models for nonlinear dynamical solutions occurring in mechanical systems featuring either smooth or non smooth nonlinearities. The cornerstone of the chapters is the use of methods defined in the framework of the invariant manifold theory for nonlinear systems, which allows definitions of efficient methods generating the most parsimonious nonlinear models having minimal dimension, and reproducing the dynamics of the full system under generic assumptions. Emphasis is put on the development of direct computational methods for finite element structures. Once the reduced order model obtained, numerical and analytical methods are detailed in order to get a complete picture of the dynamical solutions of the system in terms of stability and bifurcation. Applications from the MEMS and aerospace industry are covered and analyzed. Geometric nonlinearity, friction nonlinearity and contacts in jointed structures, detection and use of internal resonance, electromechanical and piezoelectric coupling with passive control, parametric driving are surveyed as key applications. The connection to digital twins is reviewed in a general manner, opening the door to the efficient use of invariant manifold theory for nonlinear analysis, design and control of engineering structures.

Details

ISBN 3031674987
ISBN-13 9783031674983
Title Model Order Reduction for Design, Analysis and Control of Nonlinear Vibratory Systems
Author Cyril Touzé, Attilio Frangi
Format Hardcover
Year 2024
Pages 298
Edition 2024th
Publisher Springer International Publishing AG

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