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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 SCIENCE 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.



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 Technology & Engineering 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.



A Filtered High Dimensional Harmonic Balance Method For Problems In Nonlinear Dynamics


A Filtered High Dimensional Harmonic Balance Method For Problems In Nonlinear Dynamics
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Author : Allen Russell LaBryer
language : en
Publisher:
Release Date : 2009

A Filtered High Dimensional Harmonic Balance Method For Problems In Nonlinear Dynamics written by Allen Russell LaBryer and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009 with Dynamics categories.




On The Analysis Of Superharmonic Oscillations


On The Analysis Of Superharmonic Oscillations
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Author : J. J. Wu
language : en
Publisher:
Release Date : 1992

On The Analysis Of Superharmonic Oscillations written by J. J. Wu and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992 with categories.


This paper presents an analysis for the superharmonics of a forced nonlinear vibration problem involving small parameters, using a generalized harmonic balance method. A nonlinear ordinary differential equation with several nonlinear terms and a periodic forcing function is considered. For the case of superharmonic oscillations of order 2, the key equations for the obtaining the information on the superharmonics will be derived, including a new, nonlinear ordinary differential equation of a slow varying function compared with the original dependent variable. Using these equations, the steady state solution and its stability behavior can be calculated. Results for a special set of parameters are obtained, including a stable node for the steady state solution and the associated van del Pol plane.



Incremental Harmonic Balance Method For Nonlinear Structural Vibrations


Incremental Harmonic Balance Method For Nonlinear Structural Vibrations
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Author : Sai-Ling Lau
language : en
Publisher:
Release Date : 2017-01-27

Incremental Harmonic Balance Method For Nonlinear Structural Vibrations written by Sai-Ling Lau and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-01-27 with categories.


This dissertation, "Incremental Harmonic Balance Method for Nonlinear Structural Vibrations" by 劉世齡, Sai-ling, Lau, was obtained from The University of Hong Kong (Pokfulam, Hong Kong) and is being sold pursuant to Creative Commons: Attribution 3.0 Hong Kong License. The content of this dissertation has not been altered in any way. We have altered the formatting in order to facilitate the ease of printing and reading of the dissertation. All rights not granted by the above license are retained by the author. DOI: 10.5353/th_b3122992 Subjects: Structural dynamics Vibration - Measurement Nonlinear theories



Incremental Harmonic Balance Method For Nonlinear Structural Vibrations


Incremental Harmonic Balance Method For Nonlinear Structural Vibrations
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Author : Sai-ling Lau
language : en
Publisher:
Release Date : 1982

Incremental Harmonic Balance Method For Nonlinear Structural Vibrations written by Sai-ling Lau and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1982 with Nonlinear theories categories.




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.



The Behaviour Of Nonlinear Vibrating Systems


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

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




New Modified Multi Level Residue Harmonic Balance Method For Solving Nonlinear Beam Plate And Structural Acoustic Problems


New Modified Multi Level Residue Harmonic Balance Method For Solving Nonlinear Beam Plate And Structural Acoustic Problems
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Author : Md Saifur Rahman
language : en
Publisher:
Release Date : 2017

New Modified Multi Level Residue Harmonic Balance Method For Solving Nonlinear Beam Plate And Structural Acoustic Problems written by Md Saifur Rahman and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017 with Acoustical engineering categories.