浮基两刚体模型强迫振动动力响应分析

摘要

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