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**Harvard**

Chen, Y., Linderholt, A. och Abrahamsson, T. (2014) *Frequency response calculations of a nonlinear structure a comparison of numerical methods*.

** BibTeX **

@conference{

Chen2014,

author={Chen, Y. and Linderholt, A. and Abrahamsson, Thomas},

title={Frequency response calculations of a nonlinear structure a comparison of numerical methods},

booktitle={Conference Proceedings of the Society for Experimental Mechanics Series: 32nd IMAC Conference and Exposition on Structural Dynamics, 2014; Orlando, FL; United States; 3 February 2014 through 6 February 2014},

isbn={978-331904521-4},

pages={35-44},

abstract={Mechanical systems having presence of nonlinearities are often represented by nonlinear ordinary differential equations. For most of such equations, exact analytic solutions are not found; thus numerical techniques have to be used. In many applications, among which model calibration can be one, steady-state frequency response functions are the desired quantities to calculate. The objective of this paper is to compare the performance of computations of nonlinear frequency response functions (FRFs) calculated directly within the frequency domain, using the Multi-Harmonic Balance method, with the time-domain methods Runge-Kutta, Newmark and Pseudo Force in State Space (PFSS). The PFSS method is a recently developed state-space based force feedback method. The accuracy and efficiency of the methods are studied and compared using a model of a cantilever beam connected to a non-linear spring at its free end.},

year={2014},

keywords={Frequency response function , Multi-harmonic balance , Nonlinear system , Numerical methods , State-space},

}

** RefWorks **

RT Conference Proceedings

SR Electronic

ID 203903

A1 Chen, Y.

A1 Linderholt, A.

A1 Abrahamsson, Thomas

T1 Frequency response calculations of a nonlinear structure a comparison of numerical methods

YR 2014

T2 Conference Proceedings of the Society for Experimental Mechanics Series: 32nd IMAC Conference and Exposition on Structural Dynamics, 2014; Orlando, FL; United States; 3 February 2014 through 6 February 2014

SN 978-331904521-4

SP 35

OP 44

AB Mechanical systems having presence of nonlinearities are often represented by nonlinear ordinary differential equations. For most of such equations, exact analytic solutions are not found; thus numerical techniques have to be used. In many applications, among which model calibration can be one, steady-state frequency response functions are the desired quantities to calculate. The objective of this paper is to compare the performance of computations of nonlinear frequency response functions (FRFs) calculated directly within the frequency domain, using the Multi-Harmonic Balance method, with the time-domain methods Runge-Kutta, Newmark and Pseudo Force in State Space (PFSS). The PFSS method is a recently developed state-space based force feedback method. The accuracy and efficiency of the methods are studied and compared using a model of a cantilever beam connected to a non-linear spring at its free end.

LA eng

DO 10.1007/978-3-319-04522-1_4

LK http://dx.doi.org/10.1007/978-3-319-04522-1_4

OL 30