开口薄壁杆件振动的弯扭耦合效应

The Bending-torsion Coupling Effect of the Vibration of Open Thin-walled Members

本文建立了开口薄壁杆件弯扭耦合振动方程及方程的解法,通过算例说明,弯扭耦合效应是,扭振为主的频率低于杆纯扭振频率,弯曲为主的频率高于纯弯曲振动的频率,随着杆截面形心与杆扭转中心距离的增大,弯曲为主的频率与比这一阶频率略高的扭转为主的频率有接近直至重合的趋势。

The equation of bending-torsion coupling vibration of open thin-walled members and its solution are established in this paper. Examples show that the bending-torsion coupling effect makes the frequency mainly due to torsion vibration lower than that of pure torsion vibration,and the frequency mainly due to bending higher than that of pure bending vibration. With the increase in the distance between the section centroid and the center of twist of the member, frequency mainly due to bending tends to approach and coincide with the frequncy(Which is a little higher than the frequency of this order)mainly due to torsion.