论文部分内容阅读
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-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。
Considering the displacement coupling of the beam in the three directions of longitudinal, lateral and lateral directions, the strain-displacement relationship of the beam under large deflection, large rotation and small strain is established by Green-Lagrange strain tensor, and according to the Hamilton principle The finite element equation of beam motion is used to study the influence of elastic coupling on lateral, lateral displacement and torsion angle of flexible beam in static condition. The numerical results show that the elastic coupling increases the lateral displacement of the flexible beam and decreases the lateral displacement and produces the torsional angular displacement. The calculated results of the finite element method are in good agreement with the experimental data. The calculated results are more significant than the principal curvature transformation method accurate.