本文選題：約束阻尼　切入點(diǎn)：拓?fù)鋬?yōu)化　出處：《重慶大學(xué)》2013年碩士論文

【摘要】：目前，約束阻尼技術(shù)是一種有效的減振手段，它能夠耗散振動(dòng)能量，降低振動(dòng)幅值，同時(shí)具有安全、可靠的特點(diǎn)，在汽車、航天和艦船結(jié)構(gòu)振動(dòng)與噪聲控制領(lǐng)域展示了廣闊的應(yīng)用前景，，但減振降噪的同時(shí)也增加了結(jié)構(gòu)的附加質(zhì)量。本文研究了約束阻尼結(jié)構(gòu)動(dòng)力學(xué)拓?fù)鋬?yōu)化方法，為約束阻尼結(jié)構(gòu)優(yōu)化設(shè)計(jì)與工程應(yīng)用提供了理論和技術(shù)支持，具有一定的工程應(yīng)用價(jià)值。主要研究?jī)?nèi)容包括： 1、根據(jù)彈性層、粘彈性層和約束層的本構(gòu)關(guān)系，采用能量法，建立了約束阻尼板的有限元?jiǎng)恿W(xué)模型，計(jì)算了約束阻尼板結(jié)構(gòu)的模態(tài)參數(shù)和動(dòng)力學(xué)響應(yīng)，通過(guò)與實(shí)驗(yàn)計(jì)算結(jié)果進(jìn)行比較，驗(yàn)證了有限元模型的正確性。 2、建立了ESO方法的約束阻尼結(jié)構(gòu)的拓?fù)鋬?yōu)化模型，推導(dǎo)了模態(tài)損耗因子對(duì)設(shè)計(jì)變量的靈敏度，采用獨(dú)立網(wǎng)格濾波方法對(duì)靈敏度進(jìn)行處理，給出了漸進(jìn)結(jié)構(gòu)優(yōu)化方法的迭代計(jì)算步驟和流程圖。算例結(jié)果表明：ESO方法應(yīng)用簡(jiǎn)單，優(yōu)化拓?fù)錁?gòu)型具有一定的效果。 3、研究了基于變密度法的約束阻尼結(jié)構(gòu)拓?fù)鋬?yōu)化方法。建立了拓?fù)鋬?yōu)化模型，采用SIMP插值方法，推導(dǎo)了目標(biāo)函數(shù)靈敏度表達(dá)式，采用優(yōu)化準(zhǔn)則法對(duì)優(yōu)化算例進(jìn)行了求解，通過(guò)有限元計(jì)算和實(shí)驗(yàn)對(duì)比驗(yàn)證了結(jié)果的有效性。算例表明：基于優(yōu)化準(zhǔn)則法的約束阻尼結(jié)構(gòu)拓?fù)鋬?yōu)化迭代速度快，計(jì)算效率高，優(yōu)化效果良好。 4、研究了基于移動(dòng)漸近線算法的約束阻尼結(jié)構(gòu)拓?fù)鋬?yōu)化方法。建立了移動(dòng)漸近線算法拓?fù)鋬?yōu)化模型，推導(dǎo)了目標(biāo)函數(shù)與約束函數(shù)的靈敏度表達(dá)式，給出優(yōu)化方法流程，對(duì)優(yōu)化算例進(jìn)行了求解，獲得了較好的優(yōu)化效果。最后對(duì)本文的三種約束阻尼結(jié)構(gòu)拓?fù)鋬?yōu)化方法進(jìn)行了全面對(duì)比。
[Abstract]:At present, constrained damping technology is an effective means of damping, it can dissipate vibration energy, reduce vibration amplitude, while having the characteristics of safety and reliability in automobile, The field of vibration and noise control of spaceflight and ship structures shows a broad application prospect, but the vibration and noise reduction also increases the additional mass of the structure. In this paper, the topology optimization method of constrained damping structure dynamics is studied. It provides theoretical and technical support for the optimization design and engineering application of constrained damping structures, and has certain engineering application value. The main research contents include:. 1. According to the constitutive relation of elastic layer, viscoelastic layer and constrained layer, the finite element dynamic model of constrained damping plate is established by energy method, and the modal parameters and dynamic response of constrained damping plate structure are calculated. The correctness of the finite element model is verified by comparing with the experimental results. 2. The topology optimization model of constrained damping structure based on ESO method is established, and the sensitivity of modal loss factor to design variables is derived. The iterative calculation steps and flow charts of the asymptotic structural optimization method are given. The result of the example shows that the application of the ESO method is simple and the optimization of the topological configuration is effective. 3. The topology optimization method of constrained damping structure based on variable density method is studied. The topology optimization model is established, and the sensitivity expression of objective function is derived by SIMP interpolation method. The optimization example is solved by optimization criterion method. The validity of the results is verified by finite element calculation and experimental results. The results show that the topology optimization of constrained damped structures based on optimization criterion has high iteration speed, high computational efficiency and good optimization effect. 4. The topology optimization method of constrained damping structure based on moving asymptote algorithm is studied, the topology optimization model of mobile asymptote algorithm is established, the sensitivity expressions of objective function and constraint function are derived, and the flow of optimization method is given. The optimization examples are solved and the optimal results are obtained. Finally, three topology optimization methods of constrained damping structures are compared.
【學(xué)位授予單位】：重慶大學(xué)
【學(xué)位級(jí)別】：碩士
【學(xué)位授予年份】：2013
【分類號(hào)】：TB535.1

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