Construction method for quasi-independent modal actuator

Abstract

The invention discloses a construction method for a quasi-independent modal actuator. The method includes three steps. First, m piezoelectric strain-rate sensors are stuck on a plate, all outputs usi are summed after passing through all gains gsi to form a combined piezoelectric strain-rate sensor which subsequently excites a combined piezoelectric actuator composed of n gains gaj; second, regions Omega aj of n piezoelectric actuating sheets and the corresponding gaj are selected to lead the combined piezoelectric actuator to become the L-th order modal actuator of the plate; third, a target function is established, and the number n of the piezoelectric actuators, corresponding n-dimensional regional vectors Omega a and gain vectors ga are selected to lead Ja to be close enough to zero; and Ja trends towards zero when n trends towards infinity and the size of a piezoelectric sheet trends towards infinitesimal in the whole structure. The invention has high practical value and wide application prospect in the field of actively controlling structural vibration.

Description

(1) Technical field [0001] The invention relates to a construction method of a piezoelectric actuator, in particular to a construction method of a quasi-independent mode actuator based on quasi-independent mode control, and belongs to the field of active control of structural vibration. (2) Background technology [0002] For the vibration control of a continuous structure with multiple degrees of freedom, especially ∞ degrees of freedom, the "overflow" problem is a headache and a roadblock, and has become a topic of concern in many literatures. Among them, in theory, the most attractive solution is the "independent mode control" technology. It is based on the structural vibration modal theory. First, the structural sensor response is transformed into the modal coordinate domain, in which the controller is designed and the modal generalized force is optimized for each single-degree-of-freedom system. The device drive structure completes the closed-loop control without overfl...

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Problems solved by technology

[0009] (2) For non-uniform beam structures such as those with variable cross-sections, those with sudden changes in stiffness, those with concentrated mass, etc., the clipping conditions will become very complicated or even have no feasible solution

[0011] First, if the structural characteristics, especially the natural mode shapes, change during operation, the tailored piezoelectric sensors and actuators will deviate from the independent mode control conditions, which may invalidate the entire control

In addition, "hardened" independent modal sensors and actuators also largely limit the far-reaching potential of intelligent sensing and actuators combined with modern adaptive control techniques

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