强度与环境
彊度與環境
강도여배경
STRUCTURE & ENVIRONMENT ENGINEERING
2014年
3期
37-43
,共7页
拓扑优化%渐进结构优化%应力约束全局化%应变能
拓撲優化%漸進結構優化%應力約束全跼化%應變能
탁복우화%점진결구우화%응력약속전국화%응변능
topology optimization%evolutionary structural optimization%globalization of stress constrains%strain energy
在渐进结构优化方法的基础上，提出一种考虑结构全局应力约束的改进方法。根据第四强度理论，将应力约束进行全局化处理，将应力约束问题转化为应变能约束问题，进而在灵敏度分析中，使用应变能灵敏度来代替应力灵敏度，避免了应力灵敏度计算的困难。最后，给出了本方法的具体实现步骤，通过2个数值算例表明了该方法的可行性和有效性。
在漸進結構優化方法的基礎上，提齣一種攷慮結構全跼應力約束的改進方法。根據第四彊度理論，將應力約束進行全跼化處理，將應力約束問題轉化為應變能約束問題，進而在靈敏度分析中，使用應變能靈敏度來代替應力靈敏度，避免瞭應力靈敏度計算的睏難。最後，給齣瞭本方法的具體實現步驟，通過2箇數值算例錶明瞭該方法的可行性和有效性。
재점진결구우화방법적기출상，제출일충고필결구전국응력약속적개진방법。근거제사강도이론，장응력약속진행전국화처리，장응력약속문제전화위응변능약속문제，진이재령민도분석중，사용응변능령민도래대체응력령민도，피면료응력령민도계산적곤난。최후，급출료본방법적구체실현보취，통과2개수치산례표명료해방법적가행성화유효성。
A new evolutionary structural optimization (ESO) with the globalization of stress constrains is proposed in this paper. Based on the von Mises’ yield criterion, thousands of the local stress constrains of every element in the structural can be transformed into the global strain energy constrains of the structural during the topology ESO process. And then, the sensitivity of the global strain energy was calculated instead of the stress sensitivity during the optimization process, avoiding the difficulties of the stress sensitivity calculation. Moreover, On the basis of basic evolutionary structural optimization, a procedure for the new evolutionary structural optimization under the globalization of stress constrains is given. Two numerical examples indicate that the proposed method is effective feasible and efficient.
