浮基两刚体模型强迫振动动力响应分析

为分析浮基在外力作用下产生的强迫振动对浮基多体系统动力响应影响，将浮基多体系统简化为光滑铰接的两刚体模型，用多体动力学离散时间传递矩阵理论，并编写程序对浮基多体系统动力响应求解。分别计算浮基在周期横摇角强迫振动与波浪作用下浮基两刚体动力响应，获得浮基两刚体系统运动响应曲线。数值模拟结果表明，当横摇角强迫振动幅值、频率增加时，起吊重物的摆动更剧烈，绳索长度变化对重物摆动影响不大。在横向规则波作用下，浮基与重物的摆动幅值随绳索长度、吊臂仰角的增加而增大，随起吊重物质量变化先增大后减小。

Dynamic responses of forced vibration on two rigid-bodies model with a floating base

In order to analyze the influence of the forced vibration to the dynamic responses of the multi-body system with a floating base, the system is simplified to two rigid-bodies model connected by a smooth joint. The dynamic responses of the system are solved by the program according to the transfer matrix theory of multi-body dynamics. The time histories of the motion of the system are obtained under the condition of the floating base acted by forced period rolling motion or waves. The results of numerical simulation show that the swing of the weight severe with the increase of the amplitude and the frequency of the forced vibration, but not be influenced by the length variation of the rope. The oscillation amplitudes of the floating base and the weight under the action of the transverse regular wave increase with the length of the rope and the elevation of the arm.