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Harmonic Balance For Nonlinear Vibration Problems


Harmonic Balance For Nonlinear Vibration Problems
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Harmonic Balance For Nonlinear Vibration Problems


Harmonic Balance For Nonlinear Vibration Problems
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Author : MALTE. KRACK
language : en
Publisher:
Release Date : 2019

Harmonic Balance For Nonlinear Vibration Problems written by MALTE. KRACK and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019 with categories.




Harmonic Balance For Nonlinear Vibration Problems


Harmonic Balance For Nonlinear Vibration Problems
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Author : Malte Krack
language : en
Publisher: Springer
Release Date : 2019-03-23

Harmonic Balance For Nonlinear Vibration Problems written by Malte Krack and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-03-23 with Mathematics categories.


This monograph presents an introduction to Harmonic Balance for nonlinear vibration problems, covering the theoretical basis, its application to mechanical systems, and its computational implementation. Harmonic Balance is an approximation method for the computation of periodic solutions of nonlinear ordinary and differential-algebraic equations. It outperforms numerical forward integration in terms of computational efficiency often by several orders of magnitude. The method is widely used in the analysis of nonlinear systems, including structures, fluids and electric circuits. The book includes solved exercises which illustrate the advantages of Harmonic Balance over alternative methods as well as its limitations. The target audience primarily comprises graduate and post-graduate students, but the book may also be beneficial for research experts and practitioners in industry.



Nonlinear Vibration With Control


Nonlinear Vibration With Control
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Author : David Wagg
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-12-03

Nonlinear Vibration With Control written by David Wagg and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-12-03 with Technology & Engineering categories.


The authors discuss the interrelationship of linear vibration theory for multi-degree-of-freedom systems; nonlinear dynamics and chaos; and nonlinear control. No other book covers these areas in the same way, so this is a new perspective on these topics.



Exploiting The Use Of Strong Nonlinearity In Dynamics And Acoustics


Exploiting The Use Of Strong Nonlinearity In Dynamics And Acoustics
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Author : Oleg V. Gendelman
language : en
Publisher: Springer Nature
Release Date : 2024-07-27

Exploiting The Use Of Strong Nonlinearity In Dynamics And Acoustics written by Oleg V. Gendelman and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-07-27 with Technology & Engineering categories.


This book covers the latest ideas and approaches in strongly nonlinear dynamical and acoustical systems and discusses appropriate modelling tools and practical examples highlighting the non-standard and non-stationary aspects of this challenging, yet so promising area. The contributions investigate and present the intentional use of nonlinearity in the most challenging field of acoustics, the latest developments in transient dynamics of strongly nonlinear systems, the subtle numeric problems arising while exploring nonlinear normal modes, the fascinating topic of nonlinear dynamics of wind musical instruments, the novel developments in the field of global nonlinear dynamics, some multi-faceted mathematical challenges in the dynamics of hysteretic systems, and lastly offers theoretical, numeric and experimental insights into the intricate dynamics of systems with contact nonlinearities. The need for such a work is underscored by the fact that accounting for, understanding of, and designing with nonlinearities is becoming an emerging universal trend in engineering practice, and is predicted to be even more so in the future. The book demonstrates that the idea of exploiting strong nonlinearity in dynamical and acoustical systems has transitioned from few early theoretical works to a diverse theoretical and experimental body of current research.



Nonlinear Structures Systems Vol 1


Nonlinear Structures Systems Vol 1
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Author : Matthew R.W. Brake
language : en
Publisher: Springer Nature
Release Date : 2024-10-19

Nonlinear Structures Systems Vol 1 written by Matthew R.W. Brake and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-10-19 with Technology & Engineering categories.


Nonlinear Structures & Systems, Volume 1: Proceedings of the 42nd IMAC, A Conference and Exposition on Structural Dynamics, 2024, the first volume of ten from the Conference brings together contributions to this important area of research and engineering. The collection presents early findings and case studies on fundamental and applied aspects of Nonlinear Dynamics, including papers on: Experimental Nonlinear Dynamics Jointed Structures: Identification, Mechanics, Dynamics Nonlinear Damping Nonlinear Modeling and Simulation Nonlinear Reduced-Order Modeling Nonlinearity and System Identification



The Behaviour Of Nonlinear Vibrating Systems


The Behaviour Of Nonlinear Vibrating Systems
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Author : Wanda Szemplinska
language : en
Publisher: Springer Science & Business Media
Release Date : 1990-06-30

The Behaviour Of Nonlinear Vibrating Systems written by Wanda Szemplinska and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990-06-30 with Technology & Engineering categories.


The purpose of this book is to provide students, practicing engineers and scientists with a treatment of nonlinear phenomena occurring in physical systems. Although only mechanical models are used, the theory applies to all physical systems governed by the same equations, so that the book can be used to study nonlinear phenomena in other branches of engineering, such as electrical engineering and aerospace engineering, as well as in physics. The book consists of two volumes. Volume I is concerned with single degree-of-freedom systems and it presents the fundamental concepts of nonlinear analysis. Both analytical methods and computer simulations are included. The material is presented in such a manner that the book can be used as a graduate as well as an undergraduate textbook. Volume II deals with multi-degree-of-freedom systems. Following an introduc tion to linear systems, the volume presents fundamental concepts of geometric theory and stability of motion of general nonlinear systems, as well as a concise discussion of basic approximate methods for the response of such systems. The material represents a generalization of a series of papers on the vibration of nonlinear multi-degree-of-freedom systems, some of which were published by me and my associates during the period 1965 - 1983 and some are not yet published.



Nonlinear Structures Systems Volume 1


Nonlinear Structures Systems Volume 1
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Author : Gaetan Kerschen
language : en
Publisher: Springer Nature
Release Date : 2020-09-12

Nonlinear Structures Systems Volume 1 written by Gaetan Kerschen and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-09-12 with Technology & Engineering categories.


Nonlinear Structures & Systems, Volume 1: Proceedings of the 38th IMAC, A Conference and Exposition on Structural Dynamics, 2020, the first volume of eight from the Conference brings together contributions to this important area of research and engineering. The collection presents early findings and case studies on fundamental and applied aspects of Nonlinear Dynamics, including papers on: Nonlinear Reduced-order Modeling Jointed Structures: Identification, Mechanics, Dynamics Experimental Nonlinear Dynamics Nonlinear Model & Modal Interactions Nonlinear Damping Nonlinear Modeling & Simulation Nonlinearity & System Identification



Advances In Nonlinear Dynamics Volume I


Advances In Nonlinear Dynamics Volume I
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Author : Walter Lacarbonara
language : en
Publisher: Springer Nature
Release Date : 2024-05-11

Advances In Nonlinear Dynamics Volume I written by Walter Lacarbonara and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-05-11 with Technology & Engineering categories.


This volume aims to present the latest advancements in experimental, analytical, and numerical methodologies aimed at exploring the nonlinear dynamics of diverse systems across varying length and time scales. It delves into the following topics: Methodologies for nonlinear dynamic analysis (harmonic balance, asymptotic techniques, enhanced time integration) Data-driven dynamics, machine learning techniques Exploration of bifurcations and nonsmooth systems Nonlinear phenomena in mechanical systems and structures Experimental dynamics, system identification, and monitoring techniques Fluid-structure interaction Dynamics of multibody systems Turning processes, rotating systems, and systems with time delays



Nonlinear Structures Systems Volume 1


Nonlinear Structures Systems Volume 1
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Author : Matthew R.W. Brake
language : en
Publisher: Springer Nature
Release Date : 2022-07-28

Nonlinear Structures Systems Volume 1 written by Matthew R.W. Brake and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-07-28 with Technology & Engineering categories.


Nonlinear Structures & Systems, Volume 1: Proceedings of the 40th IMAC, A Conference and Exposition on Structural Dynamics, 2022, the first volume of nine from the Conference brings together contributions to this important area of research and engineering. The collection presents early findings and case studies on fundamental and applied aspects of Nonlinear Dynamics, including papers on: Experimental Nonlinear Dynamics Jointed Structures: Identification, Mechanics, Dynamics Nonlinear Damping Nonlinear Modeling and Simulation Nonlinear Reduced-Order Modeling Nonlinearity and System Identification



Proceedings Of The Iutam Symposium On Nonlinear Dynamics For Design Of Mechanical Systems Across Different Length Time Scales


Proceedings Of The Iutam Symposium On Nonlinear Dynamics For Design Of Mechanical Systems Across Different Length Time Scales
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Author : Hiroshi Yabuno
language : en
Publisher: Springer Nature
Release Date : 2025-01-07

Proceedings Of The Iutam Symposium On Nonlinear Dynamics For Design Of Mechanical Systems Across Different Length Time Scales written by Hiroshi Yabuno and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-01-07 with Technology & Engineering categories.


This book presents insights from the IUTAM Symposium on Nonlinear Dynamics for Design of Mechanical Systems Across Different Length/Time Scales. It covers a diverse array of topics, including applications of parametric amplification and self-excitation, as well as the design and analysis of devices and systems that harness geometric and material nonlinearities. The book features chapters on nonlinear energy transfer, eigenfrequency detection through subharmonic and superharmonic resonances, and the innovative use of nonlinear mode localization. The authors explore dynamic stabilization under high-frequency excitation, the utilization of multimode interactions and nonlinear normal modes, and the application of nonlinear resonance and bifurcation in creating ultrasensitive sensors and high-performance actuators. This book provides a comprehensive record of the symposium's discussions, representing a collective effort to expand our understanding of nonlinear phenomena and its potential to reshape the landscape of mechanical system design.