STRUCTURAL TOPOLOGY OPTIMIZATION CONSIDERING CLUSTERED STRESS CONSTRAINTS

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SAFFAR NAJIB HABIB; HASSANI BEHROOZ; YAGHOOBI NIMA

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Journal: Modares Mechanical Engineering Year:2018 | Volume:18 | Issue:1 Page(s): 370-378

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Title

STRUCTURAL TOPOLOGY OPTIMIZATION CONSIDERING CLUSTERED STRESS CONSTRAINTS

Author(s)

SAFFAR NAJIB HABIB | HASSANI BEHROOZ | YAGHOOBI NIMA | Issue Writer Certificate

Keywords

STRUCTURAL TOPOLOGY OPTIMIZATIONQ1

STRESS CONSTRAINTQ1

CLUSTERINGQ1

STRESS PENALIZATIOQ1

SIMPQ1

MMAQ1

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) are 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.

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APA: Copy

SAFFAR NAJIB, HABIB, HASSANI, BEHROOZ, & YAGHOOBI, NIMA. (2018). STRUCTURAL TOPOLOGY OPTIMIZATION CONSIDERING CLUSTERED STRESS CONSTRAINTS. MODARES MECHANICAL ENGINEERING, 18(1 ), 370-378. SID. https://sid.ir/paper/179398/en

Vancouver: Copy

SAFFAR NAJIB HABIB, HASSANI BEHROOZ, YAGHOOBI NIMA. STRUCTURAL TOPOLOGY OPTIMIZATION CONSIDERING CLUSTERED STRESS CONSTRAINTS. MODARES MECHANICAL ENGINEERING[Internet]. 2018;18(1 ):370-378. Available from: https://sid.ir/paper/179398/en

IEEE: Copy

HABIB SAFFAR NAJIB, BEHROOZ HASSANI, and NIMA YAGHOOBI, “STRUCTURAL TOPOLOGY OPTIMIZATION CONSIDERING CLUSTERED STRESS CONSTRAINTS,” MODARES MECHANICAL ENGINEERING, vol. 18, no. 1 , pp. 370–378, 2018, [Online]. Available: https://sid.ir/paper/179398/en

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