Low-order actuator influence functions for piezoelectric in-plane actuated tensioned circular deformable mirrors

Abstract

Future space-based optical reflectors will be driven by the desire for large apertures versus the constraints of low weight and compactness of packaging. One possible way to satisfy these competing factors is through the use of piezoelectric in-plane actuated, tensioned, deformable mirrors. These configurations typically exhibit both plate-like and membrane-like behavior. Proposed is a new approximation method for the solution to this class of mirror, where the normalized plate stiffness to tension ratio is small. The approximation function is based on the exact analytical solution to this class of problems. The approximation method allows the problem to be reduced to a simple pressure forced membrane equation, a geometry which may be more readily analyzed. A case study comparing the results of the approximation method to a high fidelity finite element model constructed in MSC.Nastran is provided.

An Experimental Study on the Interaction of Thermal Loading and Mechanical Loading in Membrane Structures

“…Membrane surface distortions can be alleviated by applying boundary forces or applying forces or moments using actuators patched on membranes or embedded inside membrane structures. Piezoelectric films [6–8], micro‐electromechanical system (MEMS) transducers [9], polymer actuator [10], and shape memory alloy (SMA) wires [11] have been proposed to bond or integrate to the membrane structures in order to control surface profiles. The actuators bonded to or embedded within the structures have stronger control authority on the host structure than boundary control methods.…”

Adaptive Shape Control for Thermal Deformation of Membrane Mirror with In-plane PVDF Actuators

“…Various smart materials such as shape-memory alloys (SMAs) [4], polyvinylidene fluoride (PVDF) films [5][6][7], piezoelectric polymer actuators [8], macrofiber composites [9,10], and microelectromechanical system transducers [11] have been used to control the surface shape of membrane structures. A parabolic deformable mirror with a piezoelectric thin film was studied and controlled based on an in-plane actuation strategy by Maji et al [12] and the active control precision proved to reach the micron level.…”