### A Two-Level Strategy For Topology And Orientation Optimization Of Laminated Shell Structures.

#### Abstract

This article presents different approaches for solving problems of topology and

orientation optimization of laminated shell structures. The objective of the design is the

minimization of volume under compliance constraints. The design variables are the relative

densities and the principal material direction orientation of each layer in an element. A twolevel

strategy is used, optimizing sequentially the orientation and then the density, aiming

reducing the computational effort during each iteration. Sequential Linear Programming

method is used to solve both optimization problems. Mathematical algorithms were derived

for the solution of the problem. These algorithms were coded for single and multiple loading

cases. The topology optimization can be considered as an extension for laminated shell

structures of Cardoso6 and Sant’Anna25 works. An eight node degenerated shell finite element

with explicit integration on the thickness direction, as in Kumar et al., is used to solve the

equilibrium equations for laminated composites. Some illustrative examples are presented

and discussed to show the applicability of the proposed optimization approaches.

orientation optimization of laminated shell structures. The objective of the design is the

minimization of volume under compliance constraints. The design variables are the relative

densities and the principal material direction orientation of each layer in an element. A twolevel

strategy is used, optimizing sequentially the orientation and then the density, aiming

reducing the computational effort during each iteration. Sequential Linear Programming

method is used to solve both optimization problems. Mathematical algorithms were derived

for the solution of the problem. These algorithms were coded for single and multiple loading

cases. The topology optimization can be considered as an extension for laminated shell

structures of Cardoso6 and Sant’Anna25 works. An eight node degenerated shell finite element

with explicit integration on the thickness direction, as in Kumar et al., is used to solve the

equilibrium equations for laminated composites. Some illustrative examples are presented

and discussed to show the applicability of the proposed optimization approaches.

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Güemes 3450

S3000GLN Santa Fe, Argentina

Phone: 54-342-4511594 / 4511595 Int. 1006

Fax: 54-342-4511169

E-mail: amca(at)santafe-conicet.gov.ar

**Asociación Argentina de Mecánica Computacional**Güemes 3450

S3000GLN Santa Fe, Argentina

Phone: 54-342-4511594 / 4511595 Int. 1006

Fax: 54-342-4511169

E-mail: amca(at)santafe-conicet.gov.ar

**ISSN 2591-3522**