دانلود رایگان مقاله رویکرد صریح کنترل مقیاس طول در بهینه سازی توپولوژی بر اساس SIMP

Abstract

The present paper aims to present a new approach for controlling both maximum and minimum length scales of structural members in the Solid Isotropic Material with Penalization (SIMP)-based topology optimization framework. In the proposed approach, length scale control is achieved with help of structural skeleton, which is a key concept in mathematical morphology and a powerful tool for describing structural topologies. Numerical examples show that the proposed approach does have the capability to give a complete control of the length scales of an optimal structure in an explicit and local way.

6. Concluding remarks

In the present paper, a novel approach for explicit and local control of both minimum/maximum length scales in topology optimization of continuum structures is proposed. Our method is established based on the concept of structural skeleton, which has been well addressed in the field of image processing. Once the structural skeleton is identified, the minimum/maximum length scales can be measured accurately, which is the basis to formulate the corresponding functions in a mathematical rigorous way. Numerical examples demonstrate that the proposed approach does have the capability to give a complete control of the length scales of structural features in an explicit and local way. Although mainly structural optimization problems are considered in the present paper, the same idea and the corresponding implementation techniques can also be applied to other multi-disciplinary topology optimization problems. Research results along these directions will be reported elsewhere.