Titlebook: Harmonic Balance for Nonlinear Vibration Problems; Malte Krack,Johann Gross Book 2019 Springer Nature Switzerland AG 2019 structural dynam

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Malte Krack,Johann Grossat there is a non-singular linear map .: .. → .. such that, for each . ∈., the image .(.) is, in turn, tiled by .. This topic has recently come under investigation, not only because of its recreational appeal, but because of its application to the theory of wavelets and to computer addressing. The p

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Application to Mechanical Systems, show how the linear and nonlinear terms within the Harmonic Balance equation system are commonly set up. It is discussed in detail how to practically select the harmonic truncation order. We explain why Harmonic Balance is usually much more efficient for vibration problems than direct time step int

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Solving the Harmonic Balance Equations,ation. In this chapter, we categorize the fundamentally different strategies suited for solving such equation systems. We then focus on local numerical methods, in particular on Newton-type methods. These compute a single solution point if a good initial guess is available. A challenge is often the

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Book 2019ludes 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..