本文選題：約束阻尼　切入點(diǎn)：無阻尼　出處：《南昌航空大學(xué)》2017年碩士論文　論文類型：學(xué)位論文

【摘要】：在對工程結(jié)構(gòu)減振降噪的研究中,附加阻尼材料的方式已得到廣泛應(yīng)用,工程結(jié)構(gòu)有不同的性能需求,過于僵化的優(yōu)化目標(biāo)未必能得到最優(yōu)的阻尼材料鋪設(shè)布局;且對結(jié)構(gòu)材料及質(zhì)量有特殊要求的工程領(lǐng)域中,對原結(jié)構(gòu)本身減振方法的尋求仍不可忽略�；谝陨蠁栴},本文提出約束阻尼結(jié)構(gòu)及無阻尼結(jié)構(gòu)在不同優(yōu)化目標(biāo)下的最優(yōu)拓?fù)鋬?yōu)化算法,分析大綱如下:(1)通過對雙向漸進(jìn)法(BESO)在結(jié)構(gòu)拓?fù)鋬?yōu)化中的發(fā)展歷程總結(jié),闡述了該方法在結(jié)構(gòu)拓?fù)鋬?yōu)化領(lǐng)域的優(yōu)越性,總結(jié)了該算法現(xiàn)存的弊端。雙向漸進(jìn)法對最優(yōu)拓?fù)錁?gòu)型的尋優(yōu)方式使其具有高效性,但優(yōu)化過程中易出現(xiàn)構(gòu)型更新停滯問題�；谝陨蠁栴},提出了在結(jié)構(gòu)優(yōu)化流程中單元刪除率和添加率新的定義方式,有效抑制了震蕩循環(huán)現(xiàn)象,且進(jìn)一步提高了優(yōu)化效率。(2)基于虛功原理構(gòu)建了約束阻尼結(jié)構(gòu)動力學(xué)有限元模型,推導(dǎo)出約束阻尼結(jié)構(gòu)的模態(tài)參數(shù)表達(dá)式并求解了模態(tài)阻尼比和模態(tài)損耗因子靈敏度算式;建立以模態(tài)阻尼比最大化為優(yōu)化目標(biāo)的數(shù)學(xué)模型,通過算例,結(jié)果構(gòu)型的模態(tài)阻尼比得到提升,優(yōu)化過程流暢無震蕩,對比不同算法下的模態(tài)參數(shù)變動幅度,以及結(jié)果構(gòu)型合理性,驗(yàn)證了改進(jìn)的雙向漸進(jìn)法的有效性。(3)構(gòu)建無阻尼結(jié)構(gòu)的動力學(xué)有限元模型,推導(dǎo)出無阻尼結(jié)構(gòu)的振動微分方程,求得無阻尼結(jié)構(gòu)的模態(tài)參數(shù)表達(dá)式并求解了頻率、位移及剛度靈敏度算式;建立以結(jié)構(gòu)體積最小為優(yōu)化目標(biāo),以結(jié)構(gòu)固有頻率約束以及位移約束為限制條件的多目標(biāo)拓?fù)鋬?yōu)化模型。通過算例,改進(jìn)的雙向漸進(jìn)優(yōu)化算法下,無阻尼結(jié)構(gòu)前三階頻率均得到提升,在頻率約束下所得的拓?fù)錁?gòu)型頻率曲線變動平緩,實(shí)現(xiàn)了頻率約束目標(biāo),驗(yàn)證了該算法對多目標(biāo)優(yōu)化的有效性。
[Abstract]:In the research of reducing vibration and noise of engineering structure, the way of adding damping material has been widely used, engineering structure has different performance requirements, too rigid optimization target may not be able to obtain the optimal layout of damping material laying; In engineering fields with special requirements for structural materials and quality, the search for vibration absorption methods of the original structure itself should not be ignored. In this paper, an optimal topology optimization algorithm for constrained damped structure and undamped structure under different optimization objectives is proposed. The analysis outline is as follows: (1) the development of bidirectional asymptotic method (BESO) in structural topology optimization is summarized. The advantages of this method in the field of structural topology optimization are expounded, and the shortcomings of the algorithm are summarized. Based on the above problems, a new definition method of unit deletion rate and addition rate in the process of structural optimization is proposed, which effectively restrains the phenomenon of oscillatory cycle. Furthermore, the optimization efficiency is further improved. (2) based on the virtual work principle, the dynamic finite element model of constrained damping structure is constructed, the modal parameter expression of constrained damping structure is derived, and the formula of modal damping ratio and modal loss factor sensitivity is solved. A mathematical model with the maximum modal damping ratio as the optimization objective is established. Through an example, the modal damping ratio of the configuration is improved, and the optimization process is smooth and without vibration, and the variation amplitude of modal parameters under different algorithms is compared. The validity of the improved bidirectional asymptotic method is verified, and the dynamic finite element model of the undamped structure is constructed, and the vibration differential equation of the undamped structure is derived. The modal parameter expression of undamped structure is obtained and the sensitivity formulas of frequency, displacement and stiffness are solved. A multi-objective topology optimization model with natural frequency constraints and displacement constraints as constraints is presented. The first three order frequencies of undamped structures are enhanced by the improved bi-directional asymptotic optimization algorithm. The change of frequency curve of topological configuration under frequency constraints is smooth and the target of frequency constraint is realized. The effectiveness of the algorithm for multi-objective optimization is verified.
【學(xué)位授予單位】：南昌航空大學(xué)
【學(xué)位級別】：碩士
【學(xué)位授予年份】：2017
【分類號】：TB535.1

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