摘要
本文在T.L坐标下,从能量原理出发,利用卡氏定理直接推导出了梁单元几何非线性的割线刚度矩阵和切线刚度矩阵显式表达式,经过整理,将二者的表述统一起来,并利用虚位移原理证明了两个矩阵的正确性。文中还就几种情况对两个矩阵进行了简化,给出了不同的矩阵形式。
The direct formulas of secant stiffness matrixes are tangent stiffness matrixes and derived in this paper, by virtue of the principle of energy and Castigliano theorem under the total Lagrange coordinate for plane frames. And the correctness of the two matrixes is proved by the principle of virtual displacement. Finally, the matrixes are simplified in accordance with various conditions.
出处
《石家庄铁道学院学报》
1993年第1期1-10,共10页
Journal of Shijiazhuang Railway Institute
关键词
割线刚度
切线刚度
几何非线性
梁
secant stiffness
tangent stiffness
geometric nonlinearity
the principle of energy
Castigliano theorem
