By Alexander F. Vakakis
The papers during this quantity handle complicated nonlinear subject matters within the common parts of vibration mitigation and procedure identity, comparable to, tools of research of strongly nonlinear dyanmical structures; concepts and methodologies for examining complicated, multi-frequency transitions in damped nonlinear responses; new techniques for passive vibration mitigation in accordance with nonlinear special strength move (TET) and the linked notion of nonlinear power sink (NES); and an summary and evaluation of present nonlinear process identity options.
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Extra info for Advanced Nonlinear Strategies for Vibration Mitigation and System Identification
The first step towards analyzing its steady state solutions is to perform local analysis of its equilibrium (fixed points). Such analysis is of significant physical interest, since these points correspond to periodic responses of the system described by equation (1). To find the fixed points we equate the time derivatives of (4) to zero M1 M2 0 thus obtaining the following complex algebraic relations: jHV M10 HM20 jH M10 M20 2(1 H ) 2(1 H ) O(1 H ) M20 2 HA 2 jHV M10 HM20 j (1 H ) j 2 M20 M20 M20 M10 2(1 H ) 2(1 H ) 2 HA 2 (5) By simple algebraic manipulations system (5) may be reduced to the following more convenient form: ª 2 V2 º 2V A2 2 4 6 O M M M 20 20 20 « (1 V ) 2 »¼ 1V (1 V ) 2 ¬ 2 ª V M20 º 1 T 20 sign(1 V ) tan « » O »¼ «¬ O (1 V ) 56 Oleg V.
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