任意形状曲梁的刚度阵

STIFFNESS MATRIX FOMULATION FOR AN ARBITRARILY CURVED BEAM

有很多文献研究曲杆弯曲问题，但多数是讨论规则的结构形状（例如圆弧），在工程实际中也采用任意形状的曲梁及任意载荷。近年来这一问题也引起了研究者的关注，本文导出任意形状平面曲杆，在空间载荷作用下的刚度阵。运用所给出的子程序，可以直接分析曲杆在综合载荷（弯、扭、拉及剪切）下的应力和位移，而不必借助分段逼近的方法，从而提高计算效率与精度。

There exists a substantial body of literature and finite element pro-gram delt with curved beams. In general,this works consider beams of regularly shaped centraline.In realistic applications,arbitrarily curved beams may be used.In paper,stiffness matrix of an arbitrarily shaped planar curved beam is derived.Its com-puter program subroutines are implemented and the validity and reliability of which are demonstrated by illustrative examples.