Mater.Phys.Mech.(MPM)
No 2, Vol. 40, 2018, pages 239-245

MULTI-CRITERIA PROBLEMS FOR OPTIMAL PROTECTION
OF ELASTIC CONSTRUCTIONS FROM VIBRATION

Dmitry V. Balandin, Egor N. Ezhov, Egor V. Petrakov, Igor A. Fedotov

Abstract

In a multi-objective formulation with criteria such as the maximal deformation of the elastic object to be protected and maximal forces created by protection devices, a new class of optimal vibration protection problems is considered. A general approach to solving these problems based on results of modern control theory using linear matrix inequalities technique is presented. An example of a solution of two-criteria problem for a high-storey building under seismic disturbances is given.

Keywords: optimal vibration isolation, multi-criteria problem, linear matrix inequalities, Germeyer convolution

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