外载作用下悬跨管道纵向振动响应研究

管道是油气资源运输的载体，其性能对作业安全影响巨大。在合理假设的基础上，通过建立悬跨管道的振动力学模型，建立并求解其运动微分方程，得到悬跨管道的纵向振动响应。管道在受冲击载荷作用时由于阻尼的存在其纵向振动响应幅值随时间逐渐减小；管道受一般外载作用下的响应可通过将外载视为作用时间段内冲击载荷的积分来处理；管道受简谐力作用时其振动幅度与阻尼比和频率比相关，当外激频率接近固有频率时振幅放大系数最大，当外激频率大于固有频率时，频率比越大管道的振幅放大系数越小。

Research on Longitudinal Vibration of the Spanning Pipe Undergoing Extrinsic Excitation

Pipe is a carrier of the transportation of oil and gas, its performance is of great importance to the operation safety. Based on some reasonable assumptions, longitudinal vibrations responses of the spanning pipe are obtained by establishing me-chanical model under vibration of the spanning pipe and by solving its differential equation of motion.The longitudinal ampli-tude of the pipe decreases with time when undergoing impulse load, this is primarily because of existence of damping.When undergoing general forces, response of the pipe can be treated as integration of the force function during the work time.The vi-bration amplitude of the spanning pipe with the action of harmonic force is related to the frequency ratio, the amplitude magni-fication coefficient is maximal when the external excitation frequency is close to the intrinsic frequency.The amplitude magnifi-cation coefficient decreases with increasing of the frequency ratio when the external excitation frequency is bigger than the in-trinsic frequency .