Distributed sensing signal analysis of deformable plate/membrane mirrors

Lu, Yaojuan; Yue, Honghao; Deng, Zongquan; Tzou, H. S.

doi:10.1016/j.ymssp.2017.04.028

Cited by 8 publications

(3 citation statements)

References 29 publications

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“…Values of the frequency coefficients λ 1 and λ 2 are collected in Table 1, where N cr is the critical load and N cr = 14.7 D / a 2 in this study. The natural frequency of each mode is related to coefficient λ 1 by (Lu et al., 2017) …”

Section: Mirror Structronic System Equationsmentioning

confidence: 99%

“…The sensing signal generated by the corresponding PVDF sensor patch is expressed as where S mn is the modal sensitive factor (Lu et al., 2017) and S e is the effective area of the sensor patch …”

Section: Mirror Structronic System Equationsmentioning

confidence: 99%

“…(2015) studied the dynamics of a rectangular, flat thin membrane using discrete PVDF patches as actuators or sensors. Lu et al. (2017, 2018b) investigated the sensing and control behavior of distributed PVDF patches on flexible plate membrane mirrors.…”

Section: Introductionmentioning

confidence: 99%

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Active vibration control of a polyvinylidene fluoride laminated membrane plate mirror

Amabili

Wang

et al. 2019

Journal of Vibration and Control

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Lightweight optical mirrors usually play key roles in aerospace and optical structural systems applied to space telescopes, radars, solar collectors, communication antennas, etc. Due to their high flexibility and low damping properties, external excitations such as orbital maneuver may induce unexpected oscillations and thus reduce their working performance. Active vibration control is therefore essential for the lightweight optical mirror systems. In this spirit, a lightweight mirror structronic system with a linear quadratic optimal controller is presented. The mirror is modeled as a membrane plate with pretension and distributed polyvinylidene fluoride sensors and actuators. The sensing sensitivity of the piezoelectric (PVDF) sensors and the modal actuation factor of the PVDF actuators are derived. The state-space equations are established and the feedback control gains between sensing and control signals are obtained. Sensor and actuator of different shape, size, and position are employed to actively control the first four natural modes of the mirror. The influences of mode order, pretension, and the two weighting factors Q and R on the control performance are also investigated. Analytical results in this paper could guide the design and layout of the PZT sensor and actuator on lightweight membrane plate mirrors.

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Section: Mirror Structronic System Equationsmentioning

confidence: 99%