Analysis of the forced response of dry-friction damped structural systems using an efficient hybrid frequency-time method

J. Guillen, C. Pierre

Research output: Contribution to journalArticlepeer-review

12 Scopus citations

Abstract

The steady-state response to periodic excitation of dry friction damped structural systems is studied. The general model considered is a linear structure with one flexible dry friction damper connected to ground - representing, for example, a blade with an attached friction damper in a turbomachinery rotor stage. A full hysteretic model of the dry friction force is considered, which involves no further approximation of Coulomb's law. Namely, the relative slip velocity at the frictional interface is taken to vanish when the damper is stuck, unlike the often-assumed piecewise linear relation between friction force and slip velocity. The solution procedure used is a hybrid frequency-time domain algorithm, which is largely based upon the incremental multi-harmonic balance method. The method is significantly improved by the use of several efficient numerical techniques, such as Fast Fourier Transforms and Toeplitz Jacobian Matrices. In addition, new features are developed to achieve the fast generation of frequency responses, namely, adaptive step size and line search algorithms for automatic sweeps in amplitude and frequency. The resulting solution procedure is highly performant and gives reliable and accurate results for a wide range of system parameters. It allows for the fast and automatic generation of steady-state frequency responses. Results are obtained for both a single-degree of freedom, dry friction damped system and for a beam with one friction damper attached. Interesting features of the non-linear response are revealed.

Original languageEnglish
Pages (from-to)41-49
Number of pages9
JournalAmerican Society of Mechanical Engineers, Design Engineering Division (Publication) DE
Volume91
StatePublished - 1996

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