Year: 2017
International Journal of Numerical Analysis and Modeling, Vol. 14 (2017), Iss. 2 : pp. 201–217
Abstract
This paper is concerned with an efficient algorithm for damping optimization in mechanical systems with a prescribed structure. Our approach is based on the minimization of the total energy of the system which is equivalent to the minimization of the trace of the corresponding Lyapunov equation. Thus, the prescribed structure in our case means that a mechanical system is close to a modally damped system. Although our approach is very efficient (as expected) for mechanical systems close to modally damped system, our experiments show that for some cases when systems are not modally damped, the proposed approach provides efficient approximation of optimal damping.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2017-IJNAM-417
International Journal of Numerical Analysis and Modeling, Vol. 14 (2017), Iss. 2 : pp. 201–217
Published online: 2017-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 17
Keywords: Linear vibration system damped vibration multi-variable optimization of dampers' viscosities passive damping Lyapunov equation relative residual bound linear residual bounds quadratic residual bounds.