Damping optimization in mechanical systems with external force

Ninoslav Truhar, Zoran Tomljanović and Krešimir Veselić

Applied Mathematics and Computation, 2015, vol. 250, issue C, 270-279

Abstract: We consider a mechanical system excited by external force. Model of such a system is described by the system of ordinary differential equations: Mx¨(t)+Dẋ(t)+Kx(t)=fˆ(t), where matrices M,K (mass and stiffness) are positive definite and the vector fˆ corresponds to an external force. The damping matrix D is assumed to be positive semidefinite and has a small rank. We introduce two criteria that allow damping optimization of mechanical system excited by an external force. Since in general a damping optimization is a very demanding problem, we provide a new formulas which have been used for efficient damping optimization. The efficiency of new formulas is illustrated with a numerical experiment.

Keywords: Damping optimization; Mechanical system; External force; Average energy amplitude; Average displacement amplitude (search for similar items in EconPapers)
Date: 2015
References: View complete reference list from CitEc
Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:250:y:2015:i:c:p:270-279

DOI: 10.1016/j.amc.2014.10.081

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