Harmonic balance for nonlinear vibration problems
- 作者： Krack, Malte, author.
- 其他作者：
- 其他題名：
- Mathematical engineering.
- 出版： Cham : Springer International Publishing :Imprint: Springer
- 叢書名： Mathematical engineering,
- 主題： Nonlinear mechanics. , Vibration--Mathematical models. , Differential equations, Nonlinear. , Engineering Mathematics. , Solid Mechanics. , Fourier Analysis. , Vibration, Dynamical Systems, Control.
- ISBN： 9783030140236 (electronic bk.) 、 9783030140229 (paper)
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FIND@SFXID:
CGU
- 資料類型: 電子書
- 內容註: Harmonic Balance applied to mechanical systems -- Solving the governing algebraic equations -- Limitations of HB and alternatives -- Solved exercises and homework problems.
- 摘要註: 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.
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讀者標籤：
- 系統號： 005450368 | 機讀編目格式
館藏資訊
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.