Study of ESO on Tie-beam problem using virtual material
Received:September 14, 2015  Revised:March 28, 2016
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DOI:10.7511/jslx201702003
KeyWord:ESO method  topology optimization  Tie-beam  virtual material  load path  finite element method
              
AuthorInstitution
周海涛 重庆大学 机械工程学院 重庆 ;昆明精密机械研究所 昆明
张大可 重庆大学 机械工程学院 重庆
杨毅超 重庆青山工业有限公司 重庆
梁圣 重庆大学 机械工程学院 重庆
龚宪生 重庆大学 机械工程学院 重庆
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Abstract:
      Since Zhou and Rozvany introduced Tie-beam problem to highlight the failure of Evolutionary Structural Optimization (ESO) in 2001, a lot of solutions have been proposed to solve this hard nut. The problem is unsolved yet because the current solutions contain some shortcomings or fail to obtain optimization. A virtual material method is proposed in this paper in which a checking operation is inserted into original ESO iterations. By evaluating the strain energy change of the selected element to which a virtual material with low Young's modulus is introduced, the failure of the structure's internal load path can be checked. Thereafter, the removal or of an element can be decided upon. The numerical examples show that the proposed method can prevent the ESO from failing to solve the Tie-beam problem. The proposed method does not change the evolutionary procedure of original ESO method and its ability to achieve optimization because the method adds a checking operation in iterations only.