摘要
利用变分原理,推导了两节点二维曲梁单元几何非线性的单元切线刚度矩阵。为了便于进行结构分析,给出了非节点荷载和坐标变换的处理方法。算例表明本文为解决结构大变形、小应变问题提供了可靠实用的计算方法。
From the variation principle,an analytical solution of the tangential stiffness matrices with nonlinear effects geometrically, for two-nodal two-dimension curved beam element, has been derived. In order to make structural analysis conveniently, the calculating method for coordinate transformation matrix and equivalent nodal forces are then presented.This approach is provided practically tor the analysis of the kind of element under large deformation but small strains.
出处
《铁道学报》
EI
CSCD
北大核心
1996年第3期92-98,共7页
Journal of the China Railway Society
关键词
曲梁
单元
几何非线性
刚度矩阵
单元切线
curred beam element
geometrical nonlinear effect
stiffness matrix
tangent
coordinate transformation
finite element method