engleski

Damping optimization in mechanical systems with external force

We consider a mechanical system excited by external force. Model of such a system is described by the system of ordinary differential equations: M x''(t) + D x'(t) + K x(t) = f(t), where matrices $M, K$ (mass and stiffness) are positive definite and the vector f(t) 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.

damping optimization; mechanical system; external force; average energy amplitude; average displacement amplitude

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