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| Topology optimization with multiple displacement equality constraints and application in optoelectronic fine structure design |
| Received:November 16, 2018 Revised:December 21, 2018 |
| View Full Text View/Add Comment Download reader |
| DOI：10.7511/jslx20181116001 |
| KeyWord:displacement equality constraints augmented Lagrangian multiplier reaction force topology optimization fine optoelectronic devices |
| Author | Institution |
| 乔楠 |
中国科学院 长春光学精密机械与物理研究所, 长春 ;中国科学院大学 材料科学与光电技术学院, 北京 |
| 谢军 |
中国科学院 长春光学精密机械与物理研究所, 长春 |
| 王强龙 |
中国科学院 长春光学精密机械与物理研究所, 长春 |
| 刘震宇 |
中国科学院 长春光学精密机械与物理研究所, 长春 |
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| Abstract: |
| In order to satisfy the need for equal structural displacement in the design of support structures in fine optoelectronic tracking devices,this paper proposes a structural topology optimization model based on the SIMP method with maximizing stiffness as the objective while having the constraints of volume and equal displacement.The displacement equality constraints are introduced to the original objective function through the augmented Lagrangian multiplier method.When determining the Lagrangian multiplier,an approximate substitution method is used which considers its corresponding real physical meaning instead of the traditional pure mathematical iterative approximation method.By using the adjoint method,the augmented objective function sensitivity is obtained.And by applying the MMA optimization algorithm,the design variables are updated while satisfying the volume constraint.Finally,numerical examples are presented to illustrate the effectiveness of the method in designing lightweight structures with maximum stiffness and multiple displacement constraints. |