应用力学学报
應用力學學報
응용역학학보
CHINESE JOURNAL OF APPLIED MECHANICS
2010年
1期
15-19
,共5页
无网格方法%数值流形方法%复变量移动最小二乘法%无网格流形方法%弹性力学
無網格方法%數值流形方法%複變量移動最小二乘法%無網格流形方法%彈性力學
무망격방법%수치류형방법%복변량이동최소이승법%무망격류형방법%탄성역학
meshless method%numerical manifold method%complex variable moving least-square approximation%meshless manifold method
为克服无网格流形方法配点过多、计算速度慢、容易形成病态方程组等缺点,将复变量移动最小二乘法与无网格流形方法相结合,提出了弹性力学的复变量无网格流形方法.分别采用线性基本与二次基进行计算,并与无网格流形方法相比.研究表明该方法计算量小、精度高.
為剋服無網格流形方法配點過多、計算速度慢、容易形成病態方程組等缺點,將複變量移動最小二乘法與無網格流形方法相結閤,提齣瞭彈性力學的複變量無網格流形方法.分彆採用線性基本與二次基進行計算,併與無網格流形方法相比.研究錶明該方法計算量小、精度高.
위극복무망격류형방법배점과다、계산속도만、용역형성병태방정조등결점,장복변량이동최소이승법여무망격류형방법상결합,제출료탄성역학적복변량무망격류형방법.분별채용선성기본여이차기진행계산,병여무망격류형방법상비.연구표명해방법계산량소、정도고.
The pre-processing of the meshless numerical manifold method (MNMM) is simple,but the method concerns dealing with a great many of nodes,is of low computational efficiency and may sometimes lead to an ill-conditioned or singular equations.In this paper,on the basis of complex variable moving least-square approaximation and the MNMM,the complex variable meshless manifold method (CVMNMM) for 2D elasticity is presented,and the corresponding formulae of the CVMNMM are obtained.Compared with the conventional MNMM,the CVMNMM is of high precision and of computational efficiency.
