Modares Mechanical Engineering

Modares Mechanical Engineering

Structural topology optimization considering clustered stress constraints

Authors
Habib Saffar Najib 1
Behrooz Hassani 2
Nima Yaghoobi 1
1 Mechanical Engineering Department, Ferdowsi University of Mashhad, Mashhad, Iran
2 Mechanical Engineering Department,Ferdowsi University of Mashhad, Mashhad, Iran
Abstract
This paper presents an improved approach for handling stress constraints in minimum weight topological design. The Finite Element Method (FEM) and the material model of Solid Isotropic Material with Penalization (SIMP) is used to formulate the topology optimization problem. To evaluate the stress values in elements, the von Mises stresses are calculated at the so called super-convergent Gauss quadrature points. To reduce the time and computational cost, a clustering approach is here adopted and the P-norm integrated stress constraints are used. Doing this, a large number of local constraints are replaced with a few global ones and consequently the stress constraint sensitivities are calculated by using the adjoint method. The employed formulation as well as a complete explanation of the sensitivity analysis is provided. Due to the complexity of the topology optimization problem in the presence of stress constraints, the Method of Moving Asymptotes (MMA) is here employed. To demonstrate the performance and capability of the procedure, a couple of plane stress elasticity problems are taken into consideration. The resulted layouts indicate the superiority of the approach in generating acceptable and practical topological designs.
Keywords
Structural Topology Optimization
Stress Constraint
Clustering
Stress Penalization
SIMP
MMA
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Modares Mechanical Engineering
Volume 18, Issue 1
March 2018
Pages 370-378