天津职业技术师范大学学报
天津職業技術師範大學學報
천진직업기술사범대학학보
JOURNAL OF TIANJING UNIVERSITY OF TECHNOLOGY AND EDUCATION
2012年
2期
1-5
,共5页
有限元%非均匀材料%积分%刚度矩阵
有限元%非均勻材料%積分%剛度矩陣
유한원%비균균재료%적분%강도구진
finite elements%heterogeneous materials%integral%stiffness matrix
用积分法和中点材料法形成单元刚度阵对非均匀材料进行结构分析。用函数形式表达材料参数,通过在每个三角形区域里对弹性系数进行积分,得到单元刚度矩阵,从而真实地反映了材料的非均匀性;另一种简化方法是用三角形中心处的材料参数代替整个三角形单元的材料参数,使每一个三角形单元为均匀单元。文章比较了两种方法的计算结果和时间,同时用COMSOL对这两种方法进行了验证。
用積分法和中點材料法形成單元剛度陣對非均勻材料進行結構分析。用函數形式錶達材料參數,通過在每箇三角形區域裏對彈性繫數進行積分,得到單元剛度矩陣,從而真實地反映瞭材料的非均勻性;另一種簡化方法是用三角形中心處的材料參數代替整箇三角形單元的材料參數,使每一箇三角形單元為均勻單元。文章比較瞭兩種方法的計算結果和時間,同時用COMSOL對這兩種方法進行瞭驗證。
용적분법화중점재료법형성단원강도진대비균균재료진행결구분석。용함수형식표체재료삼수,통과재매개삼각형구역리대탄성계수진행적분,득도단원강도구진,종이진실지반영료재료적비균균성;령일충간화방법시용삼각형중심처적재료삼수대체정개삼각형단원적재료삼수,사매일개삼각형단원위균균단원。문장비교료량충방법적계산결과화시간,동시용COMSOL대저량충방법진행료험증。
PThe integral method and centroid method are used to form the element stiffness matrix for the structural analysis of heterogeneous materials. The material property is expressed as a function of the coordinates, by using the integral of the elasticity coefficients on the triangle, we can obtain the element stiffness matrix, and the Heterogeneous property is truly expressed. Another method is used to replace the integral by using the material of the centroid to represent the material of the triangle, then the element is looked as a homogeneous one. The two methods are compared in computational results and CPU time, and COMSOL is also used to verify the methods of this paper.