發(fā)布時(shí)間：2019-06-08 18:40

【摘要】：當(dāng)前，基于無(wú)網(wǎng)格方法的拓?fù)鋬?yōu)化雖還處在初步的探討階段，應(yīng)用尚不廣泛，但是相對(duì)于有限元法而言，無(wú)網(wǎng)格法本身具有一些先天性?xún)?yōu)勢(shì)，這使得基于無(wú)網(wǎng)格法的拓?fù)鋬?yōu)化擁有誘人的前景�；跓o(wú)網(wǎng)格方法的拓?fù)鋬?yōu)化目前仍存在許多缺點(diǎn)，如計(jì)算缺乏穩(wěn)定性、優(yōu)化效率較低等。本文以無(wú)網(wǎng)格Galerkin數(shù)值計(jì)算方法為基礎(chǔ)，結(jié)合漸進(jìn)結(jié)構(gòu)拓?fù)鋬?yōu)化方法，對(duì)二維連續(xù)體結(jié)構(gòu)拓?fù)鋬?yōu)化進(jìn)行了研究，主要研究?jī)?nèi)容如下： 1.基于有限元ANSYS軟件平臺(tái)，利用其參數(shù)化設(shè)計(jì)語(yǔ)言對(duì)二維連續(xù)體結(jié)構(gòu)拓?fù)鋬?yōu)化過(guò)程進(jìn)行了編程模擬，通過(guò)對(duì)漸進(jìn)結(jié)構(gòu)優(yōu)化法中材料拒絕率、進(jìn)化率等參數(shù)的不斷嘗試，初步確定了這些參數(shù)的大致選擇范圍。 2.闡述了基于無(wú)網(wǎng)格Ga lerkin法的漸進(jìn)結(jié)構(gòu)拓?fù)鋬?yōu)化流程；討論了拓?fù)鋬?yōu)化過(guò)程中被刪節(jié)點(diǎn)對(duì)結(jié)構(gòu)分析的影響；針對(duì)被刪節(jié)點(diǎn)對(duì)結(jié)構(gòu)分析中關(guān)鍵矩陣的影響，提出了直接剔除被刪節(jié)點(diǎn)、直接處理形函數(shù)與“生死節(jié)點(diǎn)”三種處理方法；對(duì)每種處理方法，利用MATLAB編程語(yǔ)言，以二維連續(xù)體結(jié)構(gòu)為研究對(duì)象，編寫(xiě)了基于無(wú)網(wǎng)格Galerkin法的漸進(jìn)結(jié)構(gòu)拓?fù)鋬?yōu)化程序，詳細(xì)討論了每種方法的可行性，結(jié)果表明直接處理形函數(shù)與“生死節(jié)點(diǎn)”的處理方法是可行的。 3.對(duì)無(wú)網(wǎng)格Galerk in法中節(jié)點(diǎn)密度、權(quán)函數(shù)影響域尺寸等參數(shù)對(duì)拓?fù)鋬?yōu)化結(jié)果的影響進(jìn)行了詳細(xì)討論，總結(jié)了其規(guī)律，給出了選擇相應(yīng)參數(shù)的規(guī)律性參考。 4.介紹了基于無(wú)網(wǎng)格Ga lerkin法及變密度法的拓?fù)鋬?yōu)化原理，比較了該方法與基于無(wú)網(wǎng)格Galerkin法的漸進(jìn)結(jié)構(gòu)拓?fù)鋬?yōu)化方法的優(yōu)化效率，，結(jié)果表明結(jié)合無(wú)網(wǎng)格Galerkin法及漸進(jìn)結(jié)構(gòu)拓?fù)鋬?yōu)化法進(jìn)行拓?fù)鋬?yōu)化能夠有效提高無(wú)網(wǎng)格拓?fù)鋬?yōu)化效率。 本文以無(wú)網(wǎng)格Galerkin法為結(jié)構(gòu)分析方法，結(jié)合漸進(jìn)結(jié)構(gòu)拓?fù)鋬?yōu)化方法，對(duì)二維連續(xù)體結(jié)構(gòu)的拓?fù)鋬?yōu)化進(jìn)行了深入的研究，有效地提高了無(wú)網(wǎng)格拓?fù)鋬?yōu)化效率。本文的研究為無(wú)網(wǎng)格拓?fù)鋬?yōu)化提供了一個(gè)新的思路。
[Abstract]:At present, although the topology optimization based on meshless method is still in the preliminary stage of discussion and its application is not extensive, compared with the finite element method, the meshless method itself has some congenital advantages. This makes the topology optimization based on meshless method have attractive prospects. At present, there are still many shortcomings in topology optimization based on meshless method, such as lack of computational stability, low optimization efficiency and so on. Based on the meshless Galerkin numerical calculation method and the progressive structure topology optimization method, the topology optimization of two-dimensional continuum structure is studied in this paper. the main research contents are as follows: 1. Based on the finite element ANSYS software platform, the topology optimization process of two-dimensional continuum structure is simulated by using its parametric design language. Through the continuous attempt of material rejection rate, progress rate and other parameters in the progressive structure optimization method, The approximate selection range of these parameters is preliminarily determined. two銆

本文編號(hào)：2495490