刚性拉索横向振动控制的模态等效方法

缆索结构系统跨度大、刚性低、阻尼小,属于大柔性结构,它们经常承受随机载荷如阵风激励,系统要求很高的可靠性;而它们在这种激励下产生的低频谐振,会导致大的振幅而可能有破坏性事故发生,故需要一种有效的方法控制这种横向振动。该文在考虑索抗弯刚度的基础上,通过模态等效方法,采用Hamilton原理经过迭代计算求出抑制振动的轴向主动最优控制力,方便快捷地实现了两端不同支承情况下刚性拉索横向振动的主动刚度控制。

Equivalent modal method for the transverse vibration control of rigid cable

Cables are prone to have transverse vibrations due to winds,and low frequency harmonic oscillations can induce large amplitude,resulting in some destructive accidents,therefore some effective control methods are needed.By taking the bending stiffness of cables into consideration,the active optimal control force along axial direction is derived by means of the equivalent modal method and the Hamilton principle.Simulation results show that through iterative computation,the transverse vibration of rigid cable under different support conditions is controlled conveniently by the active stiffness control method.