Abstract
In this paper, we present a simultaneous optimization method for designing the shape and topology of a laminated shell structure. Multi-objective compliance of a laminated shell structure is minimized under volume constraints of shape and topology optimization, and the out-of-plane shape variation and the fictitious density are used as the design variables. The SIMP (Solid Isotropic Material with Penalization) method is used in topology optimization. The optimal design problem is formulated as a distributed-parameter optimization problem, and the sensitivity functions for density and shape variation are theoretically derived. Both the optimal density distribution of the design layers and the optimal shape variation are simultaneously determined by the H1 gradient methods for vector and scalar design variables, where the sensitivity functions are applied as the Robin condition to the design mid-surface and the design layers. The verification and validity of the proposed method are demonstrated through design examples.
