中原工学院学报
中原工學院學報
중원공학원학보
JOURNAL OF ZHONGYUAN INSTITUTE OF TECHNOLOGY
2015年
3期
80-84
,共5页
陈根生%杨子胜%孙玉周
陳根生%楊子勝%孫玉週
진근생%양자성%손옥주
弯曲梁%高阶连续%移动最小二乘法%无网格法%罚数法
彎麯樑%高階連續%移動最小二乘法%無網格法%罰數法
만곡량%고계련속%이동최소이승법%무망격법%벌수법
bending beam%higher-order continuum%moving least-square approximation%mesh-free method%penalty method
以弯曲梁为例，应用移动最小二乘法构造具有高阶连续特征的形函数，建立无网格数值计算框架。研究移动最小二乘法在传统弯曲梁和高阶连续弯曲梁数值模拟中的应用，并对施加边界条件等相关关键问题进行讨论。
以彎麯樑為例，應用移動最小二乘法構造具有高階連續特徵的形函數，建立無網格數值計算框架。研究移動最小二乘法在傳統彎麯樑和高階連續彎麯樑數值模擬中的應用，併對施加邊界條件等相關關鍵問題進行討論。
이만곡량위례，응용이동최소이승법구조구유고계련속특정적형함수，건립무망격수치계산광가。연구이동최소이승법재전통만곡량화고계련속만곡량수치모의중적응용，병대시가변계조건등상관관건문제진행토론。
The shape function with the high-order continuum is constructed with the moving least-square method, and a mesh-free computational scheme is then established for the bending beams. The proposed method is used to inves-tigate the application of the moving least-square approximation in the numerical simulation of the classical bending beam and high-order continuum bending beam. Some key issues such as the imposition of the boundary conditions are studied and discussed.
