本文關(guān)鍵詞：骨骼重建拓?fù)鋬?yōu)化方法的理論研究和數(shù)值模擬　出處：《北京工業(yè)大學(xué)》2009年碩士論文　論文類(lèi)型：學(xué)位論文

  更多相關(guān)文章： 骨骼重建 ICM方法 拓?fù)鋬?yōu)化 數(shù)值模擬

【摘要】： 本文基于隋允康教授提出的ICM(Independent Continuous and Mapping,即獨(dú)立、連續(xù)、映射)結(jié)構(gòu)拓?fù)鋬?yōu)化方法,建立了骨骼重建的拓?fù)鋬?yōu)化模型,并運(yùn)用對(duì)偶方法進(jìn)行模型轉(zhuǎn)換,用序列二次規(guī)劃方法進(jìn)行了求解,研究了連續(xù)體結(jié)構(gòu)拓?fù)鋬?yōu)化方法在骨骼重建方面的應(yīng)用。并利用PCL語(yǔ)言對(duì)MSC.Patran進(jìn)行二次開(kāi)發(fā),通過(guò)數(shù)值算例,將理論研究與數(shù)值模擬相結(jié)合,為實(shí)際應(yīng)用提供了重要的理論依據(jù)。本文主要研究?jī)?nèi)容為: (1)研究了在應(yīng)力作用下骨骼重建的拓?fù)鋬?yōu)化。以骨骼結(jié)構(gòu)的質(zhì)量最小為目標(biāo),以應(yīng)力為約束,利用應(yīng)力全局化方法將局部應(yīng)力約束轉(zhuǎn)化為結(jié)構(gòu)總應(yīng)變能約束,建立了骨骼重建的拓?fù)鋬?yōu)化模型,并運(yùn)用對(duì)偶規(guī)劃理論對(duì)模型進(jìn)行了求解。 (2)采用ICM優(yōu)化方法對(duì)不同骨骼結(jié)構(gòu)的模型進(jìn)行了數(shù)值模擬。對(duì)于相同的骨骼模型,分別對(duì)結(jié)構(gòu)在不同應(yīng)力、不同網(wǎng)格、不同載荷、不同材料參數(shù)及優(yōu)化模型中取不同過(guò)濾函數(shù)的情況進(jìn)行了研究。數(shù)值模擬的結(jié)果與實(shí)際骨骼結(jié)構(gòu)類(lèi)似,證明了該方法的可行性。 (3)根據(jù)上述優(yōu)化模型和解法,利用PCL語(yǔ)言對(duì)MSC.Patran軟件進(jìn)行了二次開(kāi)發(fā),對(duì)在應(yīng)力約束下的二維、三維骨骼重建拓?fù)鋬?yōu)化問(wèn)題生成了優(yōu)化模塊,為骨骼重建拓?fù)鋬?yōu)化理論從概念設(shè)計(jì)走向?qū)嶋H應(yīng)用提供了一條新途徑。
[Abstract]:This paper is based on the topology optimization method of ICM(Independent Continuous and mapping proposed by Professor Sui Yunkang. The topology optimization model of bone reconstruction is established, and the dual method is used to transform the model, and the sequential quadratic programming method is used to solve the problem. The application of topology optimization method of continuum structure in bone reconstruction is studied, and the secondary development of MSC.Patran is carried out by using PCL language, and a numerical example is given. The combination of theoretical research and numerical simulation provides an important theoretical basis for practical application. The main contents of this paper are as follows: 1) the topological optimization of bone reconstruction under stress is studied. The minimum mass of bone structure is the objective and the stress is the constraint. The local stress constraint is transformed into the total strain energy constraint by using the stress globalization method, and the topological optimization model of bone reconstruction is established, and the model is solved by dual programming theory. (2) the ICM optimization method is used to simulate the different bone structure models. For the same bone model, the different stresses, different grids and different loads are applied to the same bone model. Different material parameters and different filtering functions in the optimization model are studied. The results of numerical simulation are similar to the actual skeleton structure, which proves the feasibility of this method. 3) according to the above optimization model and solution, the MSC.Patran software is redeveloped by using PCL language, and the two dimensions under the stress constraint are analyzed. The topology optimization problem of three-dimensional bone reconstruction generates an optimization module, which provides a new way for the theory of topology optimization of bone reconstruction from conceptual design to practical application.
【學(xué)位授予單位】：北京工業(yè)大學(xué)
【學(xué)位級(jí)別】：碩士
【學(xué)位授予年份】：2009
【分類(lèi)號(hào)】：R346

【參考文獻(xiàn)】

相關(guān)期刊論文 前10條

1 蔡坤;張洪武;羅陽(yáng)軍;陳飆松;;三維連續(xù)體結(jié)構(gòu)仿生拓?fù)鋬?yōu)化新方法[J];工程力學(xué);2007年02期

2 隋允康,于新,葉寶瑞;基于“有無(wú)復(fù)合體”的應(yīng)力約束下桁架和平面膜結(jié)構(gòu)拓?fù)鋬?yōu)化的統(tǒng)一模型[J];固體力學(xué)學(xué)報(bào);2001年01期

3 葉紅玲;隋允康;;基于ICM方法三維連續(xù)體結(jié)構(gòu)拓?fù)鋬?yōu)化[J];固體力學(xué)學(xué)報(bào);2006年04期

4 杜家政;隋允康;郭英喬;;同時(shí)滿足剛度和強(qiáng)度約束的框架拓?fù)鋬?yōu)化[J];計(jì)算力學(xué)學(xué)報(bào);2008年03期

5 隋允康;邊炳傳;葉紅玲;;連續(xù)體結(jié)構(gòu)屈曲約束的ICM方法拓?fù)鋬?yōu)化[J];計(jì)算力學(xué)學(xué)報(bào);2008年03期

6 王健,程耿東;多工況應(yīng)力約束下連續(xù)體結(jié)構(gòu)拓?fù)鋬?yōu)化設(shè)計(jì)[J];機(jī)械強(qiáng)度;2003年01期

7 趙麗紅,郭鵬飛,孫洪軍,寧麗莎;結(jié)構(gòu)拓?fù)鋬?yōu)化設(shè)計(jì)的發(fā)展、現(xiàn)狀及展望[J];遼寧工學(xué)院學(xué)報(bào);2004年01期

8 周克民,李俊峰,李霞;結(jié)構(gòu)拓?fù)鋬?yōu)化研究方法綜述[J];力學(xué)進(jìn)展;2005年01期

9 隋允康,楊德慶,王備;多工況應(yīng)力和位移約束下連續(xù)體結(jié)構(gòu)拓?fù)鋬?yōu)化[J];力學(xué)學(xué)報(bào);2000年02期

10 隋允康,于新;平面膜結(jié)構(gòu)拓?fù)鋬?yōu)化的有無(wú)復(fù)合體方法[J];力學(xué)學(xué)報(bào);2001年03期

相關(guān)碩士學(xué)位論文 前1條

1 關(guān)雪松;骨重建方程二維到三維的擴(kuò)展[D];吉林大學(xué);2005年

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