【摘要】：研究阻尼結(jié)構(gòu)的阻尼材料最優(yōu)布局問題�；谔摴υ�,構(gòu)建約束阻尼板振動微分方程,從約束阻尼板若干基本假設(shè)出發(fā)并根據(jù)阻尼板自由振動微分方程,推導了結(jié)構(gòu)模態(tài)阻尼比表達式。建立了以阻尼單元相對密度為拓撲設(shè)計變量,模態(tài)阻尼比最大為優(yōu)化目標,阻尼材料用量為約束的阻尼結(jié)構(gòu)拓撲優(yōu)化數(shù)學模型。以阻尼單元模態(tài)阻尼比敏度為尋優(yōu)方向的依據(jù),采用增材式漸進法(AESO)求解優(yōu)化模型,并依據(jù)拓撲優(yōu)化準則在結(jié)構(gòu)上不斷敷設(shè)阻尼材料。編程實現(xiàn)了AESO算法,仿真計算表明:采用AESO優(yōu)化時,阻尼材料主要敷設(shè)于結(jié)構(gòu)的模態(tài)應變較大位置,且不會產(chǎn)生棋盤格現(xiàn)象,并且優(yōu)化后的結(jié)構(gòu)一階模態(tài)阻尼比較優(yōu)化前可增加83.6%,而常規(guī)漸進法帶來的增幅僅72.13%。為進一步驗證優(yōu)化效果,還對結(jié)構(gòu)進行了諧響應分析,結(jié)果表明采用增材式漸進法優(yōu)化時,結(jié)構(gòu)可獲得更佳減振效果。
[Abstract]:The optimal placement of damping materials for damped structures is studied. Based on the principle of virtual work, the vibration differential equation of constrained damping plate is constructed. Based on some basic assumptions of constrained damping plate and the differential equation of free vibration of damping plate, the expression of modal damping ratio of structure is derived. A topology optimization mathematical model of damping structures with the relative density of damping elements as the topological design variable, the maximum modal damping ratio as the optimization objective and the amount of damping materials as constraints is established. Based on the sensitivity of damping element modal damping ratio, the optimization model is solved by the incremental method (AESO), and the damping material is continuously laid on the structure according to the topological optimization criterion. The AESO algorithm is realized by programming. The simulation results show that the damping material is mainly laid in the large modal strain position of the structure when AESO is used to optimize the structure, and the chessboard lattice phenomenon is not produced. The first order modal damping of the optimized structure can be increased by 83.6 times compared with that before optimization, but the increase of the conventional progressive method is only 72.13%. In order to further verify the optimization effect, the harmonic response analysis of the structure is also carried out. The results show that the structure can obtain better vibration absorption effect when the incremental method of increasing material is used to optimize the structure.
【作者單位】： 南昌航空大學航空制造工程學院;
【基金】：國家自然科學基金項目(51265040)與國家自然科學基金項目(51565039)資助
【分類號】：TB535.1

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1 陶結(jié);粘彈性阻尼減振結(jié)構(gòu)漸進法拓撲動力學優(yōu)化研究[D];南昌航空大學;2016年

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本文編號：2181746