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Date of Publication:2017-01-01

Journal:工程力学

Volume:34

Issue:9

Page Number:18-26

ISSN No.:1000-4750

Abstract:During the past decades, various topology optimization methods have been
   developed to design the optimal structure in many fields such as
   mechanical engineering, aerospace and electromagnetism. However, the
   optimized topologies are often considered as conceptual because they
   ignore the manufacturing constraints in the topology optimization model.
   As one of the important manufacturing constraints, a great effort has
   been devoted to the issue of length scale control which includes minimum
   length scale control and maximum length scale control in topology
   optimization. In this paper, a novel projection based method for
   imposing maximum length scale in topology optimization is presented. In
   this method, a new penal formulation for the density of the center
   element which violates the maximum length scale constraints is proposed
   and the maximum length scale control can be achieved without additional
   constraints. Furthermore, a combination of the new method and the robust
   formulation which is able to control the minimum length scale is
   realized by changing the penal formulation into a global constraint. By
   this way, simultaneous control of the minimum length scale and maximum
   length scale is achieved. Some numerical examples that consider the
   length scale control in topology optimization are presented to show the
   validity of this method.

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