2015
DOI: 10.1177/1045389x15577650
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Modeling and optimal design for static shape control of smart reflector using simulated annealing algorithm

Abstract: This article presents a finite element formulation for static shape control and optimal design of smart reflector with distributed piezoelectric actuators. The finite element model is developed based on the higher-order shear deformation theory where the displacement field in the model accounts for a parabolic distribution of the shear strain, and the shear correction factor is not involved. The Hamilton variational principle is used to formulate the governing equation of the system. A four-node element with s… Show more

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Cited by 8 publications
(3 citation statements)
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“…Tanaka controlled surface shape of 300mm diameter, 1mm thickness secondary mirror model composed of aluminum alloy by piezo-electric stack actuators and surface shape error of 0.9mm in maximum was controlled by six linear actuators (Tanaka, 2014). Wang et al optimized placement of distributed piezo-electric actuators attached on a honeycomb sandwich reflector to reduce out-of-plane displacement caused by gravity (Wang et al, 2015).…”
Section: Methods Of Reducing Out-of-plane Thermal Deformationmentioning
confidence: 99%
“…Tanaka controlled surface shape of 300mm diameter, 1mm thickness secondary mirror model composed of aluminum alloy by piezo-electric stack actuators and surface shape error of 0.9mm in maximum was controlled by six linear actuators (Tanaka, 2014). Wang et al optimized placement of distributed piezo-electric actuators attached on a honeycomb sandwich reflector to reduce out-of-plane displacement caused by gravity (Wang et al, 2015).…”
Section: Methods Of Reducing Out-of-plane Thermal Deformationmentioning
confidence: 99%
“…Hill et al [27] used the elimination method to determine the optimal grouping of the PVDF actuators for a membrane reflector. Wang et al [28] studied the optimal design of actuator locations in a honeycomb mirror by using the Simulated Annealing Algorithm.…”
Section: Introductionmentioning
confidence: 99%
“…10) Wang et al studied a method to optimize location of linear actuators which can apply transverse forces on a reflector to reduce given out-of-plane displacement of a honeycomb sandwich reflector. 11) These previous studies mentioned above provided a potential to realize high-precision reflector systems with controlling the surface shape. As mentioned before, to realize space-based CFRP reflectors, suppression of the out-of-plane thermal deformation is essential.…”
Section: Introductionmentioning
confidence: 99%