辽宁工业大学学报:自然科学版
遼寧工業大學學報:自然科學版
료녕공업대학학보:자연과학판
Journal of Liaoning Institute of Technology(Natural Science Edition)
2012年
1期
67-70
,共4页
白茉莉%赵星%李元新%李久会%孟凡顺
白茉莉%趙星%李元新%李久會%孟凡順
백말리%조성%리원신%리구회%맹범순
椭圆孔口%应力分布%复变函数%符号运算%计算仿真
橢圓孔口%應力分佈%複變函數%符號運算%計算倣真
타원공구%응력분포%복변함수%부호운산%계산방진
elliptic notch%stress distribution%complex function method%character operation%simulation
采用复变函数方法,结合计算软件的符号运算系统对椭圆型孔口周围应力场进行了推导,得到了椭圆周围全空间应力场的解析表达式,并对外载荷沿着椭圆长轴的情况进行了仿真分析。结果表明:随着场点与坐标原点距离增大,相应的应力逐渐降低;当场点与坐标原点的距离远大于孔口限度时各应力分量都趋于定值;对与坐标原点距离相同的场点的各应力分量值有一定的起伏和对称性变化的特征。
採用複變函數方法,結閤計算軟件的符號運算繫統對橢圓型孔口週圍應力場進行瞭推導,得到瞭橢圓週圍全空間應力場的解析錶達式,併對外載荷沿著橢圓長軸的情況進行瞭倣真分析。結果錶明:隨著場點與坐標原點距離增大,相應的應力逐漸降低;噹場點與坐標原點的距離遠大于孔口限度時各應力分量都趨于定值;對與坐標原點距離相同的場點的各應力分量值有一定的起伏和對稱性變化的特徵。
채용복변함수방법,결합계산연건적부호운산계통대타원형공구주위응력장진행료추도,득도료타원주위전공간응력장적해석표체식,병대외재하연착타원장축적정황진행료방진분석。결과표명:수착장점여좌표원점거리증대,상응적응력축점강저;당장점여좌표원점적거리원대우공구한도시각응력분량도추우정치;대여좌표원점거리상동적장점적각응력분량치유일정적기복화대칭성변화적특정。
The formula for the calculation of stress field around the elliptic hole was deduced by using complex function method and the symbols operation system of calculation software.The computer simulation was carried out under the circumstances that the loading direction is along the major axis of the ellipse.The results expatiate that the stress values become small with the increase of the distance between the origin of coordinates and the referred field points.The stress values approach fixed value when the distance becomes much bigger than the dimension of the hole.For the referred field points with the same distance to the origin of coordinates,the stress values fluctuate and show some symmetrical characteristics.