本文關鍵詞：基于密度體積插值方法的結(jié)構(gòu)拓撲優(yōu)化　出處：《中國機械工程》2017年11期 　論文類型：期刊論文

  更多相關文章： 插值方法 變密度法 位移約束 拓撲優(yōu)化

【摘要】：針對變密度法結(jié)構(gòu)拓撲優(yōu)化中灰度單元的控制問題,提出了一種密度體積插值方法。該方法構(gòu)造的剛度與相對密度之間的線性關系保證了迭代中單元剛度變化的穩(wěn)定性;構(gòu)造體積與相對密度之間的懲罰關系以實現(xiàn)懲罰中間密度,同時更有利于在中間密度向兩端逼近的同時降低灰度單元的數(shù)量。應用該插值方法對位移約束體積最小化問題進行求解,所得結(jié)果顯示,增大懲罰程度,優(yōu)化過程浮動較小,算法相對穩(wěn)定。與應用SIMP方法和RAMP方法的優(yōu)化結(jié)果相比較可知,在求解同一結(jié)構(gòu)拓撲優(yōu)化問題時,采用該方法且增大懲罰程度后的優(yōu)化結(jié)果中灰度單元減少明顯。
[Abstract]:The control problem of gray element in topology optimization of variable density method is discussed. A density volume interpolation method is proposed, in which the linear relation between stiffness and relative density ensures the stability of element stiffness in iteration. The penalty relation between volume and relative density is constructed to realize the penalty intermediate density. At the same time, it is more favorable to reduce the number of gray elements while the intermediate density is approaching both ends. The proposed interpolation method is used to solve the displacement constrained volume minimization problem. The results show that the penalty degree is increased. Compared with the optimization results of SIMP method and RAMP method, when solving the same structural topology optimization problem, the optimization process is small and the algorithm is relatively stable. By using this method and increasing the penalty degree, the gray units of the optimization results are obviously reduced.
【作者單位】： 燕山大學先進鍛壓成形技術(shù)與科學教育部重點實驗室;
【基金】：國家自然科學基金資助項目(51575474) 河北省自然科學基金資助項目(E2015203223)
【分類號】：TH122
【正文快照】： 0　引言自1988年BENDSOE等[1]提出用于求解連續(xù)體拓撲優(yōu)化的均勻化方法以來,連續(xù)體結(jié)構(gòu)拓撲優(yōu)化一直是結(jié)構(gòu)優(yōu)化領域研究的熱點。變密度法[2-5]是在均勻化方法的基礎上發(fā)展形成的一種算法,該方法由于建模簡單、易于求解等特點而得到了廣泛應用[6-7]。變密度法中常用的密度插值，

本文編號：1358209