Multi-objective isogeometric integrated optimization for shape control of piezoelectric functionally graded plates

摘要

This paper presents a novel multi-objective integrated optimization method for static shape control of piezoelectric functionally graded plates (FGPs). The new method combines isogeometric analysis (IGA) and an effective multi-objective non-gradient algorithm which has not been applied to the integrated design of piezoelectric FGPs. Mechanical behavior of the FGPs with surface bonded piezoelectric layers is derived using the IGA associated with a third-order shear deformation theory (TSDT). The high-order continuity of NURBS basis functions in IGA meets the demand of C-1-continuity of the TSDT. In optimal design problem, material layout of the FGPs and control voltages of piezoelectric layers are simultaneously optimized under the conditions of minimum static shape error and maximum first-order natural frequency. The B-spline control points for describing ceramic volume fraction distribution of the FGPs and the applied voltages are taken as design variables. In addition, an improved multi-objective particle swarm optimization algorithm is used as an optimization solver. The validity and applicability of this combination of innovative method are demonstrated through several numerical examples in integrated design. (C) 2021 Elsevier B.V. All rights reserved.