Orthotropic deflection model for corner-supported plates with segmented in-plane actuators

Jordan E. Massad; Gregory N. Washington; Hartono Sumali

doi:10.1117/12.601533

19 May 2005 Orthotropic deflection model for corner-supported plates with segmented in-plane actuators

Jordan E. Massad, Gregory N. Washington, Hartono Sumali

Proceedings Volume 5757, Smart Structures and Materials 2005: Modeling, Signal Processing, and Control; (2005) https://doi.org/10.1117/12.601533
Event: SPIE Smart Structures and Materials + Nondestructive Evaluation and Health Monitoring, 2005, San Diego, California, United States

Abstract

The shape control of thin, flexible structures has been studied primarily for edge-supported thin plates. For applications involving reconfigurable apertures such as membrane optics and active RF surfaces, corner-supported configurations may prove more applicable. Corner-supported adaptive structures allow for parabolic geometries, greater flexibility, and larger achievable deflections when compared to edge-supported geometries under similar actuation conditions. Preliminary models have been developed for corner-supported thin plates actuated by isotropic piezoelectric actuators. However, typical piezoelectric materials are known to be orthotropic. This paper extends a previously-developed isotropic model for a corner-supported, thin, rectangular bimorph to a more general orthotropic model for a bimorph actuated by a two-dimensional array of segmented PVDF laminates. First, a model determining the deflected shape of an orthotropic laminate for a given distribution of voltages over the actuator array is derived. Second, symmetric actuation of a bimorph consisting of orthotropic material is simulated using orthogonally-oriented laminae. Finally, the results of the model are shown to agree well with layered-shell finite element simulations for simple and complex voltage distributions.

Citation Download Citation

Jordan E. Massad, Gregory N. Washington, and Hartono Sumali "Orthotropic deflection model for corner-supported plates with segmented in-plane actuators", Proc. SPIE 5757, Smart Structures and Materials 2005: Modeling, Signal Processing, and Control, (19 May 2005); https://doi.org/10.1117/12.601533

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