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Damping optimization in mechanical systems with external force

Author

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  • Truhar, Ninoslav
  • Tomljanović, Zoran
  • Veselić, Krešimir

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.

Suggested Citation

  • Truhar, Ninoslav & Tomljanović, Zoran & Veselić, Krešimir, 2015. "Damping optimization in mechanical systems with external force," Applied Mathematics and Computation, Elsevier, vol. 250(C), pages 270-279.
  • Handle: RePEc:eee:apmaco:v:250:y:2015:i:c:p:270-279
    DOI: 10.1016/j.amc.2014.10.081
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    Cited by:

    1. Ninoslav Truhar & Maja Petrač, 2022. "Damping Optimization of Linear Vibrational Systems with a Singular Mass Matrix," Mathematics, MDPI, vol. 10(11), pages 1-21, May.
    2. Tomljanović, Zoran, 2023. "Damping optimization of the excited mechanical system using dimension reduction," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 207(C), pages 24-40.

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