Finite element analysis of temperature distribution for mass concrete using method of weighted residuals 基于加權(quán)殘值法的大體積混凝土溫度場有限元分析
Based on method of moment and method of weighted residuals , a new analysis method for the stochastic structures is proposed and described as a unified form in this paper 本文基于加權(quán)殘值法和矩法的特點(diǎn),提出了隨機(jī)結(jié)構(gòu)分析的一種新方法,并從理論上給出了其統(tǒng)一的表述。
It has all of the advantages of method of moment and method of weighted residuals such as simple principle , handy calculation , and the effect to structural reaction from randomness of each structural parameter can be gained 它具有加權(quán)殘值法和矩法兩者固有的全部優(yōu)點(diǎn),其原理簡單、計(jì)算簡便、且能夠獲得隨機(jī)結(jié)構(gòu)系統(tǒng)中每一參數(shù)的隨機(jī)性對(duì)結(jié)構(gòu)反應(yīng)的影響。
The main idea of this method include two steps : at first , the approximate expression of function is obtained by method of weighted residuals ; then the first and second moment of the random function can be calculated with method of moment 該方法的基本思想是利用加權(quán)殘值法獲得問題解的近似函數(shù)表達(dá)式,在此基礎(chǔ)上利用求解隨機(jī)變量函數(shù)的矩法求得隨機(jī)函數(shù)的一、二階矩等統(tǒng)計(jì)數(shù)字特征。
The point interpolation method ( pim ) is a kind of new meshless method based on the theory of interpolation , its shape function is constructed by interpolation method . in this article , the thinking of point interpolation function is used in the method of weighted residuals ( wrm ) , so the pifwrm is presented , and the numerical examples show its validity 其次,由于點(diǎn)插值法是基于插值型形函數(shù)構(gòu)造理論的一種無單元法,我們研究了這種構(gòu)造函數(shù)方法的數(shù)學(xué)基礎(chǔ),并提出了點(diǎn)插值插值函數(shù)加權(quán)殘值法,進(jìn)行了算例驗(yàn)證。