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New weight filtering factor of nonlinear design for topology optimization under cyclic loading based on proportional technique

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Abstract

The structure should be focusing on the nonlinear behavior when an external load is applied and causes a large deformation. This research presents the topology optimization under bilinear elastoplastic and isotropic and kinematic hardening material properties. Optimization is performed using the solid isotropic material with penalization approach, and each element density is updated based on a proportional technique. The proportional technique is a non-sensitivity method proposed by combining with the fully stressed criterion for the topology optimization to be one factor of the update function. The cyclic load was applied to the structure and indicated an effect of stress fluctuation through the optimization process. Numerical examples were examined to investigate the final layout based on the nonlinear material properties under a nonlinear analysis. Finally, a new filtering density equation was proposed to avoid stress fluctuation during the optimization process. The optimal layout was clearly obtained while investigating the cyclic load effect.

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Abbreviations

d j :

Non-filtered density at element jth

E e :

Material properties of each design element

E min :

Elastic modulus of void element

E o :

Elastic modulus of solid element

p :

Penalization factor

q :

Exponential stress factor

r ij :

Distance of center-to-center between two elements

r 0 :

Prescribed filtering radius

U i :

Elemental internal energy density

W ij :

Weight filtering

X i :

Element density

Ω :

Reference design domain

Ω mat :

Optimal subset of design domain

η i :

Filtering density at element ith

∂ all :

Maximum limit of elemental stress

∂ i :

Elemental stress

α i opt :

Optimal density value

α I prev :

Element density from previous iteration

α rem :

Remaining material amount

α target :

Target of material distribution for optimum layout

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Authors and Affiliations

  1. Department of Functional Control Systems, Shibaura Institute of Technology, Saitama, 337-8570, Japan

    Suphanut Kongwat

  2. Department of Machinery and Control Systems, Shibaura Institute of Technology, Saitama, 337-8570, Japan

    Hiroshi Hasegawa

Authors
  1. Suphanut Kongwat
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  2. Hiroshi Hasegawa
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Correspondence to Suphanut Kongwat.

Additional information

Recommended by Editor Seungjae Min

Suphanut Kongwat is currently a doctoral candidate of Department of Functional and Control Systems at Shibaura Institute of Technology (SIT), Saitama, Japan. He received B.Eng. and M.Eng. in Mechanical Engineering from King Mongkut’s University of Technology Thonburi (KMUTT), Bangkok, Thailand in 2013 and 2016, respectively. He also received M.S. in Systems Engineering and Science from SIT in 2017.

Hiroshi Hasegawa received his B.Eng. and M.Eng. from Shibaura Institute of Technology (SIT), Saitama, Japan in 1992 and 1994, respectively. He received his Dr.Eng. in Mechanical Engineering from the Tokyo Institute of Technology, Tokyo, Japan in 1998. He is currently a Professor at SIT in the Department of Machinery and Control Systems, College of Systems Engineering and Science. He is a member of JSEE, JSME, ASME, JSCES, JSST, and KES. His research interests include computer-aided exploration, creativity of design, and systems engineering.

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Kongwat, S., Hasegawa, H. New weight filtering factor of nonlinear design for topology optimization under cyclic loading based on proportional technique. J Mech Sci Technol 34, 1635–1644 (2020). https://doi.org/10.1007/s12206-020-0326-x

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  • DOI: https://doi.org/10.1007/s12206-020-0326-x

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