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| Multi-objective optimization of low structural compliance and thermal directional expansion |
| Received:June 27, 2009 |
| View Full Text View/Add Comment Download reader |
| DOI：10.7511/jslx20104001 |
| KeyWord:topology optimization three-phase material thermal expansion structure multi-objective optimization |
| Author | Institution |
| 王斌 |
大连理工大学 工业装备结构分析国家重点实验室 工程力学系,大连 |
| 阎军 |
大连理工大学 工业装备结构分析国家重点实验室 工程力学系,大连 |
| 程耿东 |
大连理工大学 工业装备结构分析国家重点实验室 工程力学系,大连 |
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| Abstract: |
| Many load carrying engineering structures experience large temperature changes which lead to an extreme thermal stress and activate structural failure. Structural design with high stiffness and low thermal expansion in the specified direction is interesting and challenging. Design of materials with low or zero isotropic thermal expansion coefficients were investigated intensively in the field of structural topology optimization and solid mechanics. The obtained materials have low isotropic thermal expansion, however, mostly they have very low stiffness and are not adequate for constructing load carrying structures. Therefore, the authors attempt to use topology optimization method to design the structure, which combines high stiffness with low thermal expansion in a predefined direction.In this paper, we develop a new multi-objective optimization formulation for circular cylinder structure design. In its circumferential direction, the cylinder is composed of a number of sectors with the same topology and size. The structural topology of the sector, the material distribution within the sector is to be designed. We aim at optimal design of low thermal expansion in circumferential direction and high stiffness in the radial direction. Since the combination of the two attributes cannot be found with any single constituent material, three-phase material including two different material phases and one void phase is utilized to compose the sector structure. Topology optimization technique is adopted here to optimize the structure with high stiffness and low thermal directional expansion. The density of solid materials and fraction of phase 1 material are chosen as the design variables and penalty technique is implemented. The sensitivity analysis is accomplished with the adjoint method. The GCMMA method is adopted and the volume preserving nonlinear density filtering based on Heaviside step function is used to prevent checkerboard patterns and to obtain a clear design. The numerical examples are illustrated and the resulting optimum designs are discussed in the scope of multi-objective optimization. |
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