Model Order Reduction For Design Analysis And Control Of Nonlinear Vibratory Systems
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Model Order Reduction For Design Analysis And Control Of Nonlinear Vibratory Systems
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Author : Cyril Touzé
language : en
Publisher: Springer Nature
Release Date : 2024-10-15
Model Order Reduction For Design Analysis And Control Of Nonlinear Vibratory Systems written by Cyril Touzé and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-10-15 with Technology & Engineering categories.
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.
Modeling Nonlinear Dynamics From Equations And Data With Applications To Solids Fluids And Controls
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Author : George Haller
language : en
Publisher: SIAM
Release Date : 2025-05-20
Modeling Nonlinear Dynamics From Equations And Data With Applications To Solids Fluids And Controls written by George Haller and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-05-20 with Computers categories.
This concise text presents an introduction to the emerging area of reducing complex nonlinear differential equations or time-resolved data sets to spectral submanifolds (SSMs). SSMs are ubiquitous low-dimensional attracting invariant manifolds that can be constructed systematically, building on the spectral properties of the linear part of a nonlinear system. The internal dynamics within SSMs then serve as exact, low-dimensional models with which the full system evolution synchronizes exponentially fast. SSM-based model reduction has a solid mathematical foundation and hence is guaranteed to deliver accurate and predictive reduced-order models under a precise set of assumptions. This book introduces the foundations of SSM theory to the novice reader; reviews recent extensions of classic SSM results for the advanced reader; and illustrates the power of SSM reduction on a large collection of equation- and data-driven applications in fluid mechanics, solid mechanics, and control. This book is intended for graduate students, postdocs, faculty, and industrial researchers working in model reduction for nonlinear physical systems arising in solid mechanics, fluid dynamics, and control theory. It is appropriate for courses on differential equations, modeling, dynamical systems, and data-driven modeling.
Nonlinear Structural Dynamics And Damping
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Author : Juan Carlos Jauregui
language : en
Publisher: Springer
Release Date : 2019-03-14
Nonlinear Structural Dynamics And Damping written by Juan Carlos Jauregui and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-03-14 with Technology & Engineering categories.
This book compiles recent research in the field of nonlinear dynamics, vibrations and damping applied to engineering structures. It addresses the modeling of nonlinear vibrations in beams, frames and complex mechanical systems, as well as the modeling of damping systems and viscoelastic materials applied to structural dynamics. The book includes several chapters related to solution techniques and signal analysis techniques. Last but not least, it deals with the identification of nonlinear responses applied to condition monitoring systems.
Scientific And Technical Aerospace Reports
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Author :
language : en
Publisher:
Release Date : 1994
Scientific And Technical Aerospace Reports written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with Aeronautics categories.
International Aerospace Abstracts
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Author :
language : en
Publisher:
Release Date : 1998
International Aerospace Abstracts written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with Aeronautics categories.
Technology For Large Space Systems
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Author :
language : en
Publisher:
Release Date : 1989
Technology For Large Space Systems written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989 with Large space structures (Astronautics) categories.
Applied Mechanics Reviews
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Author :
language : en
Publisher:
Release Date : 1948
Applied Mechanics Reviews written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1948 with Mechanics, Applied categories.
The Shock And Vibration Digest
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Author :
language : en
Publisher:
Release Date : 1992
The Shock And Vibration Digest written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992 with Shock (Mechanics) categories.
Proceedings Of The Asme Design Engineering Division
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Author :
language : en
Publisher:
Release Date : 2005
Proceedings Of The Asme Design Engineering Division written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Mechanical engineering categories.
Technology For Large Space Systems A Bibliography With Indexes Supplement 20
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Author : United States. National Aeronautics and Space Administration. Scientific and Technical Information Division
language : en
Publisher:
Release Date : 1989
Technology For Large Space Systems A Bibliography With Indexes Supplement 20 written by United States. National Aeronautics and Space Administration. Scientific and Technical Information Division and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989 with Astronautics categories.