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

Y. Chen ; A. Linderholt ; Thomas Abrahamsson (Institutionen för tillämpad mekanik, Dynamik)
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 (2191-5644). Vol. 2 (2014), p. 35-44.
[Konferensbidrag, refereegranskat]

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.

Nyckelord: Frequency response function , Multi-harmonic balance , Nonlinear system , Numerical methods , State-space



Denna post skapades 2014-10-08. Senast ändrad 2015-02-05.
CPL Pubid: 203903

 

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Institutioner (Chalmers)

Institutionen för tillämpad mekanik, Dynamik

Ämnesområden

Teknisk mekanik

Chalmers infrastruktur