【摘要】：旨在為減振設(shè)計(jì)提供理論基礎(chǔ),研究約束阻尼結(jié)構(gòu)拓?fù)鋭恿W(xué)優(yōu)化。以阻尼材料用量、振動特征方程、模態(tài)頻率為約束,以多模態(tài)損耗因子倒數(shù)的加權(quán)和最小為目標(biāo),建立了約束阻尼結(jié)構(gòu)拓?fù)鋬?yōu)化模型,引入MAC因子控制結(jié)構(gòu)的振型躍階。在引入質(zhì)量陣懲罰因子基礎(chǔ)上推導(dǎo)出優(yōu)化目標(biāo)靈敏度�？紤]到優(yōu)化目標(biāo)函數(shù)的非凸性,采用常規(guī)準(zhǔn)則法(OC)尋優(yōu)可能會使拓?fù)渥兞砍霈F(xiàn)負(fù)值或陷入局部優(yōu)化,故引入數(shù)學(xué)規(guī)劃移動漸近技術(shù)對OC法進(jìn)行改進(jìn),從而將全體拓?fù)渥兞考{入改進(jìn)算法的優(yōu)化迭代全過程。編程實(shí)現(xiàn)了約束阻尼板改進(jìn)OC法拓?fù)鋭恿W(xué)優(yōu)化并對改進(jìn)法性能進(jìn)行了仿真。結(jié)果顯示,改進(jìn)算法可得到更合理的約束阻尼層構(gòu)形,可使結(jié)構(gòu)取得更佳減振效果。研究表明,改進(jìn)算法迭代穩(wěn)定性更好、尋優(yōu)效率更高、更具全域最優(yōu)性。
[Abstract]:The purpose of this paper is to provide a theoretical basis for vibration absorption design and to study the topology dynamics optimization of constrained damping structures. Taking damping material dosage, vibration characteristic equation and modal frequency as constraints, and taking the weighted sum of the reciprocal of multimodal loss factor as the objective, the topology optimization model of constrained damping structure is established, and the vibration mode step of the structure controlled by MAC factor is introduced. Based on the introduction of the mass matrix penalty factor, the sensitivity of the optimized target is derived. Considering the non-convexity of the optimization objective function, using the conventional criterion method (OC) to optimize the topology variables may lead to negative value or local optimization, so the moving asymptotic technique of mathematical programming is introduced to improve the OC method. Thus, all topological variables are incorporated into the whole process of optimization iteration of the improved algorithm. The topology dynamics optimization of constrained damping plate with improved OC method is realized by programming and the performance of the improved method is simulated. The results show that the improved algorithm can obtain a more reasonable configuration of constrained damping layer and make the structure obtain better damping effect. The results show that the improved algorithm has better iterative stability, higher optimization efficiency and better global optimality.
【作者單位】： 南昌航空大學(xué)航空制造工程學(xué)院;
【基金】：國家自然科學(xué)基金(51265040);國家自然科學(xué)基金(51565039)
【分類號】：TB535.1

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