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 - <p style="text-align: justify;">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.</p>