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26 July 2004 Design of piezoelectric bilaminar and C-block actuators using topology optimization
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Plate and shell laminates that include piezoelectric layers have found increasing use in the field of smart structures. The present work focuses on the design of plate and shell piezoelectric actuators such as bimorph and C-block actuators. In this work, a method for designing piezoelectric plate and shell actuators is proposed which uses topology optimization. The approach is based on the SIMP (Solid Isotropic Material with Penalization) material model, which was extended to piezoelectric materials allowing the change of sign of the polarization of the piezoelectric material. This new material model is called PEMAP-P (Piezoelectric Material with Penalization and Polarization). The design problem consists in finding an optimal distribution of piezoelectric material in a multi-layer plate or shell structure to accomplish the maximum displacement in a given direction at a given point of the domain, when an electric charge is applied. Different and novel types of plate and shell actuators can be obtained for a desired application. For the modelling of the piezoelectric layers, newly developed piezoelectric plate and shell elements are employed, which are free of locking and allow an accurate modeling of thin piezoelectric actuators of arbitrary geometry and number of layers. To illustrate the potential of the proposed method, the optimal distributions of piezoceramics in different layered piezoelectric plates and shells actuators are shown.
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Emilio Carlos Nelli Silva and Martin Kogl "Design of piezoelectric bilaminar and C-block actuators using topology optimization", Proc. SPIE 5383, Smart Structures and Materials 2004: Modeling, Signal Processing, and Control, (26 July 2004);

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