摘要
梁柱在轴向力超过临界值时会发生不同程度的压弯现象,此时梁柱可以形成转动很大的大挠度弯曲,但材料仍然服从虎克定律。由于此时压弯杆的曲率很大,不能采用近似的线性公式。本文应用了椭圆积分这一数学工具,建立了不同杆端约束的梁柱大变形的精确计算公式,并给出了计算实例。
The compressive curvature in different extent would occur in beam-columms. The large bending deformation with great rotation would form, but the materials still follow the Hook's law. The approximate linear formula is not available because of the large curvature of the strut. In this paper, the elliptic intergral is adopted as a mathematical tool and the exact formula for the calculation of large deformation beam-columms with different end restrain are established. The practical examples are gived.
关键词
梁柱
压弯杆
大变形
椭圆积分
beam-columms
strat
large deformation
elliptic intergral
