中文摘要：

考虑了梁纵向、横向和侧向三个方向的位移耦合项，利用Green-Lagrange应变张量建立了梁在大挠度、大转动、小应变条件下的应变一位移关系，并根据Hamilton原理得到了梁运动的有限元方程，研究了静力情况下弹性耦合对柔性梁横向、侧向位移及扭转角的影响。数值结果表明：弹性耦合作用使柔性梁的横向位移变大，侧向位移变小并产生扭转角位移；有限元计算结果与实验数据有很好的一致性；较主曲率变换方法计算结果更为准确。

英文摘要：

are presented by the Green-Lagrange strain tensors. The finite element equtions of flexible beams motion are derived according to Hamilton＇s principle. The static behaviors analysis of flexible beams with consideration of the elastic coupling effects on different direction of displacements and twist angles are inverstigated. The numerical results show that the elastic couplings enlarge transverse displacements of flexible beams, reduce lateral displacements and produce twist angles. There is excellent consistence between the experimental results and the finite element predic- tions. The present results are more accurate than those ones in the method of the principle curvature transformation.