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Optimum actuator placement for damping of vibrations using the Prestress-Accumulation Release control approach

  • Poplawski, Blazej (Institute of Fundamental Technological Research, Polish Academy of Sciences) ;
  • Mikulowski, Grzegorz (Institute of Fundamental Technological Research, Polish Academy of Sciences) ;
  • Pisarski, Dominik (Institute of Fundamental Technological Research, Polish Academy of Sciences) ;
  • Wiszowaty, Rafal (Institute of Fundamental Technological Research, Polish Academy of Sciences) ;
  • Jankowski, Lukasz (Institute of Fundamental Technological Research, Polish Academy of Sciences)
  • Received : 2018.10.09
  • Accepted : 2019.03.04
  • Published : 2019.07.25

Abstract

This paper proposes a quantitative criterion for optimization of actuator placement for the Prestress-Accumulation Release (PAR) strategy of mitigation of vibrations. The PAR strategy is a recently developed semi-active control approach that relies on controlled redistribution of vibration energy into high-order modes, which are high-frequency and thus effectively dissipated by means of the natural mechanisms of material damping. The energy transfer is achieved by a controlled temporary removal of selected structural constraints. This paper considers a short-time decoupling of rotational degrees of freedom in a frame node so that the bending moments temporarily cease to be transferred between the involved beams. We propose and test a quantitative criterion for placement of such actuators. The criterion is based on local modal strain energy that can be released into high-order modes. The numerical time complexity is linear with respect to the number of actuators and potential placements, which facilitates quick analysis in case of large structures.

Acknowledgement

Supported by : National Science Centre, Poland

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