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Semi‐active damping optimization of vibrational systems using the parametric dominant pole algorithm
Author(s) -
Benner Peter,
Kürschner Patrick,
Tomljanović Zoran,
Truhar Ninoslav
Publication year - 2016
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.201400158
Subject(s) - parametric statistics , impulse (physics) , minification , control theory (sociology) , residual , impulse response , mathematics , optimization problem , mathematical optimization , algorithm , energy (signal processing) , computer science , physics , mathematical analysis , statistics , control (management) , quantum mechanics , artificial intelligence
We consider the problem of determining an optimal semi‐active damping of vibrating systems. For this damping optimization we use a minimization criterion based on the impulse response energy of the system. The optimization approach yields a large number of Lyapunov equations which have to be solved. In this work, we propose an optimization approach that works with reduced systems which are generated using the parametric dominant pole algorithm. This optimization process is accelerated with a modal approach while the initial parameters for the parametric dominant pole algorithm are chosen in advance using residual bounds. Our approach calculates a satisfactory approximation of the impulse response energy while providing a significant acceleration of the optimization process. Numerical results illustrate the effectiveness of the proposed algorithm.