導(dǎo)重法求解柔性機(jī)構(gòu)多目標(biāo)拓?fù)鋬?yōu)化問題
發(fā)布時(shí)間:2018-12-21 10:34
【摘要】:柔性機(jī)構(gòu)中為同時(shí)考慮結(jié)構(gòu)的剛性和機(jī)構(gòu)的柔性,研究結(jié)構(gòu)整體柔度最小化和結(jié)構(gòu)輸出位移最大化的多目標(biāo)拓?fù)鋬?yōu)化設(shè)計(jì)方法.建立基于RAMP插值模型的多目標(biāo)拓?fù)鋬?yōu)化設(shè)計(jì)模型,采用伴隨敏度分析法進(jìn)行目標(biāo)函數(shù)敏度分析.將導(dǎo)重法引入到柔性機(jī)構(gòu)拓?fù)鋬?yōu)化問題的求解中,推導(dǎo)出柔性機(jī)構(gòu)多目標(biāo)拓?fù)鋬?yōu)化問題的迭代表達(dá)式.對(duì)柔性機(jī)構(gòu)的典型算例進(jìn)行拓?fù)鋬?yōu)化計(jì)算,算例結(jié)果表明,基于RAMP插值模型結(jié)合導(dǎo)重法求解柔性機(jī)構(gòu)多目標(biāo)拓?fù)鋬?yōu)化問題具有設(shè)計(jì)變量少、收斂速度快、優(yōu)化效率高的特點(diǎn),上述方法的結(jié)合為求解柔性機(jī)構(gòu)多目標(biāo)拓?fù)鋬?yōu)化問題提供了一條新途徑.
[Abstract]:In order to consider both the rigidity of the structure and the flexibility of the mechanism, a multi-objective topology optimization method for minimizing the overall flexibility of the structure and maximizing the output displacement of the structure is studied in the flexible mechanism. A multi-objective topology optimization design model based on RAMP interpolation model is established, and the objective function sensitivity analysis is carried out by adjoint sensitivity analysis. The derivative weight method is introduced to solve the topological optimization problem of flexible mechanism, and the iterative expression of multi-objective topology optimization problem of flexible mechanism is derived. The typical example of flexible mechanism is calculated by topology optimization. The results show that the multi-objective topology optimization problem of flexible mechanism based on RAMP interpolation model combined with weight guide method has the characteristics of less design variables, faster convergence speed and higher optimization efficiency. The combination of these methods provides a new approach for solving multi-objective topology optimization problems of flexible mechanisms.
【作者單位】: 蘭州理工大學(xué)機(jī)電工程學(xué);
【基金】:國(guó)家自然科學(xué)基金(51265025)
【分類號(hào)】:TH112
[Abstract]:In order to consider both the rigidity of the structure and the flexibility of the mechanism, a multi-objective topology optimization method for minimizing the overall flexibility of the structure and maximizing the output displacement of the structure is studied in the flexible mechanism. A multi-objective topology optimization design model based on RAMP interpolation model is established, and the objective function sensitivity analysis is carried out by adjoint sensitivity analysis. The derivative weight method is introduced to solve the topological optimization problem of flexible mechanism, and the iterative expression of multi-objective topology optimization problem of flexible mechanism is derived. The typical example of flexible mechanism is calculated by topology optimization. The results show that the multi-objective topology optimization problem of flexible mechanism based on RAMP interpolation model combined with weight guide method has the characteristics of less design variables, faster convergence speed and higher optimization efficiency. The combination of these methods provides a new approach for solving multi-objective topology optimization problems of flexible mechanisms.
【作者單位】: 蘭州理工大學(xué)機(jī)電工程學(xué);
【基金】:國(guó)家自然科學(xué)基金(51265025)
【分類號(hào)】:TH112
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