摘要
根据空间三维二力杆系节点数N的特点,利用MATLAB来构造三维桁架的单元刚度矩阵,再构造节点3N×3N的单元刚度矩阵,然后对所有单元的刚度矩阵求和,获得空间桁架全部节点的3N×3N刚度矩阵,根据边界条件和加载情况求逆矩阵,从而根据静力学理论求得载荷端节点的空间桁架的三坐标位移量。
According to the characteristics of node numbers N in spatial 3D two-force rod series and by using MAT- LAB,an element stiffness matrix of 3D truss was constructed and the element stiffness matrix of 3N× 3N nodes was also constructed. Then,it got the sum of stiffness matrixes of all elements in order to get the 3N× 3N stiffness matrixes of all spatial truss nodes. According to the boundary condition and load condition, the inverse matrix was obtained,and the three coordinate axis displacements of spatial truss at load end nodes were got based on static mechanics theory.
出处
《山东科技大学学报（自然科学版）》
CAS
2010年第3期89-95,共7页
Journal of Shandong University of Science and Technology(Natural Science)
关键词
三维桁架
刚度矩阵
有限元
MATLAB
three-dimensional truss
stiffness matrix
finite element
MATLAB
