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Date of Publication:2022-10-09

Journal:力学学报

Issue:5

Page Number:618-625

ISSN No.:0459-1879

Abstract:Some flexible structures, like airfoil and satellite antenna, usually consist of shells and plates. Their working performances are sensitive to their shape and deformation. However, there are lots of unpredictable factors, such as temperature, impact, creep and moisture etc., which could influence the performance of structure. It is impossible and uneconomical to consider all detrimental factors in the design stage. Thus, it is necessary to control the structure shape by some technologies. This paper presents a finite element formulation for the numerical simulation of the spatial curved shell structures with piezoelectric actuators, in which the host shells and piezoelectric patches are related with constraint equations directly. The use of the constraint equations reduces the number of the DOF and improves the computation efficiency. Based on the proposed model, the optimum structure shape and a perfect voltage distribution can be obtained by using the linear least squares method (LLSM). Furthermore, thickness distribution of the piezoelectric patches is obtained by nonlinear constraint optimization method (NCOM). Numerical examples are given to demonstrate the validity of the model proposed.

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