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Volume 14, Issue 2
An Efficient Approximation for Optimal Damping in Mechanical Systems

N. Truhar, Z. Tomljanović & M. Puvača

Int. J. Numer. Anal. Mod., 14 (2017), pp. 201-217.

Published online: 2016-05

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  • 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.

  • 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.

  • AMS Subject Headings

15A24, 15A18, 15A42

  • Copyright

COPYRIGHT: © Global Science Press

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  • TXT
@Article{IJNAM-14-201, author = {N. Truhar, Z. Tomljanović and M. Puvača}, title = {An Efficient Approximation for Optimal Damping in Mechanical Systems}, journal = {International Journal of Numerical Analysis and Modeling}, year = {2016}, volume = {14}, number = {2}, pages = {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.

}, issn = {2617-8710}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/ijnam/417.html} }
TY - JOUR T1 - An Efficient Approximation for Optimal Damping in Mechanical Systems AU - N. Truhar, Z. Tomljanović & M. Puvača JO - International Journal of Numerical Analysis and Modeling VL - 2 SP - 201 EP - 217 PY - 2016 DA - 2016/05 SN - 14 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/ijnam/417.html KW - Linear vibration system, damped vibration, multi-variable optimization of dampers' viscosities, passive damping, Lyapunov equation, relative residual bound, linear residual bounds, quadratic residual bounds. AB -

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.

N. Truhar, Z. Tomljanović and M. Puvača. (2016). An Efficient Approximation for Optimal Damping in Mechanical Systems. International Journal of Numerical Analysis and Modeling. 14 (2). 201-217. doi:
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