We implemented a computationally efficient model for a corner-supported, thin, rectangular, orthotropic polyvinylidene fluoride (PVDF) laminate membrane, actuated by a two-dimensional array of segmented electrodes. The laminate can be used as shape-controlled electromagnetic reflector and the model estimates the reflector’s shape given an array of control voltages. In this paper, we describe a model to determine the shape of the laminate for a given distribution of control voltages. Then, we investigate the surface shape error and its sensitivity to the model parameters. Subsequently, we analyze the simulated deflection of the actuated bimorph using a Zernike polynomial decomposition. Finally, we provide a probabilistic description of reflector performance using statistical methods to quantify uncertainty. We make design recommendations for nominal parameter values and their tolerances based on optimization under uncertainty using multiple methods.
Samiul Haque, Laszlo P. Kindrat, Li Zhang, Vikenty Mikheev, Daewa Kim, Sijing Liu, Jooyeon Chung, Mykhailo Kuian, Jordan E. Massad, and Ralph C. Smith, "Uncertainty-enabled design of electromagnetic reflectors with integrated shape control," Proc. SPIE 10596, Behavior and Mechanics of Multifunctional Materials and Composites XII, 105961D (Presented at SPIE Smart Structures and Materials + Nondestructive Evaluation and Health Monitoring: March 08, 2018; Published: 22 March 2018); https://doi.org/10.1117/12.2300396.
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