Optimization of Combining Fiber Orientation and Topology for Constant-Stiffness Composite Laminated Plates

Abstract

This paper deals with an efficient optimization method of combining fiber orientation and topology for constant-stiffness composite laminated plates. The optimal topology and fiber orientation can be simultaneously obtained, using the proposed method. To overcome the non-monotonous behaviors derived from directly optimizing fiber orientation, the lamination parameters are selected as design variable. The proposed method mainly includes two steps. Initially, lamination parameters and density are taken as the design variables for determining the fiber orientation and topology shape. A combined optimization model is built based on the penalization theory. The optimal lamination parameter and topology shape can be achieved simultaneously in this step. Then, solving nonlinear equations is transformed into a least squares optimization problem. The optimal fiber orientation is obtained and matched with the optimal lamination parameter. Finally, numerical examples of designing short cantilever beam and compliant inverter are performed to illustrate the validity of this method.

Design and optimization of self-deployable damage tolerant composite structures: A review

“…Tong et al (2019) [246,247] performed the topology optimization of a composite laminate, as well as the optimization of the ply-angles considering the lamination parameters. This sensitivity-based approach is divided in two steps.…”

Simultaneous optimization of fiber orientations and topology shape for composites compliant leading edge

“…Lamination parameters can reduce the design variables and simplify the optimization process for optimizing fiber orientation. 29–31 The in-plane lamination parameters V i ( i = 1,2,3,4) were defined as the nondimensional integration of the layer angles through the thickness h as where z¯=z/h is normalized through the thickness dimension h and the range of its value is −1/2≤z¯≤1/2, θ(z¯) is the fiber angle at truez¯.…”

On the Lightweight Truss Structure for the Trash Can-Handling Robot

“…The purpose of the research on optimization strategy is to improve the accuracy of stress prediction [28,29]. The objects of engineering application include the optimization design of car body [30,31], the mechanism design of aero-engine [32,33], the optimization design of the compliant mechanism using composite materials [34,35], and the design of parts manufactured through additive manufacturing [36,37], etc. It can be seen that topology optimization has been applied in many disciplines.…”