Optimal vibration control of a rotating composite beam with distributed piezoelectric sensing and actuation

Abstract

A rotating composite blade, modeled as a box-beam with transverse shear flexibility, shear-tractionless bounding faces and restrained warping, and subjected to a time dependent pressure pulse is considered. It comprises an orthotropic (graphite-epoxy laminate) host structure with surface embedded and spanwise distributed transversely isotropic (PZT-4) sensors and actuators. The total current output from the sensors is distributed to the actuators after suitable weighting. A modified Galerkin method using only admissible functions is considered, and the optimal control problem is studied via the classical and instantaneous LQR methods. Results reveal that structural tailoring can yield a lower steady-state response at the expense of increased settling time. Increasing the patch length beyond a limit proves ineffective. The instantaneous LQR control algorithm provides a reduced response, as does the present model involving through-thickness shear strain variation. Studies regarding the effect of location and weighting of piezopatches on the controlled response are presented.

Vibration control of rotating piezo-composite blade beam with CUS configuration based on optimal LQG controller

“…In the past ten years, a number of issues related to the nonlinear aeroelastic modeling and active vibration control based on piezoelectric actuation are investigated. Vibration control of rotating composite thin-walled box beam integrated with piezoelectric fiber composites, and modeling and nonlinear vibration analysis of anisotropic laminated cylindrical shells or plates with piezoelectric fiber rein forced composite actuators, were analyzed [6][7][8][9][10][11][12][13][14]. Rotating box-beam with transverse shear flexibility and restrained warping was investigated by Chandiramani et al [6].…”

Optimum Design of Composite Structures: A Literature Survey (1969–2009)

“…Researchers used various theories and methods to analyze composite structures. As an analytical method, many used the classical laminated plate theory, besides, some of them used von Karman plate theory, 795 3D laminated media analysis, 534 the zig-zag plate theory, 640,960,900,961 shear deformation theories, 61,193,240,304,342,351,372,373,380,404,418,420,432,439,458,470,471,504,516,521,533,541,572,575,576,577,590,591,615,656,664,665,685,701,750,752,815,819,904,928,934–936,945,1005 Flügge shell theory, 23,573,663,849 beam theories, 1,3,76,87,111,345,…”

Active vibration control of an arbitrary thick piezolaminated beam with imperfectly integrated sensor and actuator layers

“…Zhang et al (2010) proposed an effective procedure, based on the Linear Quadratic Gauss (LQG) optimal control approach, application of ANSYS software, and modal analysis, to suppress the vibrations of flexible intelligent cantilever beams with the piezoelectric sensors/actuators asymmetrically collocated on both sides of the same position of the host structure. Chandiramani (2004) investigated optimal LQR control of a thin-walled pre-twisted, doubly tapered, rotating beam comprised of an orthotropic host with surface-bonded transversely isotropic piezoelectric sensor-actuator pairs using a higher-order shear deformation theory (HSDT). Parametric studies on effects of ply-angle, rotation speed, pretwist, taper, rotor mass, and actuator saturation voltage limit, were performed.…”