Multi-Objective Iga Shape Control  Optimization for Piezoelectric 2d-Fgps with Variable Thickness

Abstract

This paper proposes an isogeometric analysis (IGA) method based on a quasi-3D shear deformation theory and an improved multi-objective moth-flame optimization (IMOMFO) algorithm to investigate the mechanical behavior and shape control optimization of piezoelectric bi-directional functionally graded plates (2D-FGPs). The material volume fraction distribution and structural thickness variation are precisely characterized using 2D B-spline basis functions, with thickness-direction control points, applied voltage, and in-plane volume fraction control points serving as design variables. The integration of NURBS-based isogeometric analysis with the quasi-3D shear deformation theory provides an effective solution for static response analysis of piezoelectric 2D-FGPs. The proposed methodology enables concurrent optimization of material gradient distribution, shape control, and structural thickness for square, skewed, and complex-shaped piezoelectric 2D-FGPs under various boundary conditions. Numerical results demonstrate the superior performance of the approach in natural frequency adjustment and shape control, confirming its effectiveness and engineering applicability.

Keywords: Piezoelectric bi-directional functionally graded plates, Variable thickness, Shape control, Quasi-3D shear theory, Isogeometric analysis, Multi-Objective Optimization