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根据梁模型横向弯曲振动模态函数一般表达式,由边界约束条件确定其模态函数的一般表达式,采用Galerkin法将运动方程在模态空间内展开,利用动力学分析方法,分析端部受线性弹簧支承和扭转弹簧约束的端部约束悬臂管道从非保守系统逐渐变为保守系统过程中的固有特性和稳定性。数值仿真结果表明,这种特殊边界输流管道具有复杂变化的动力学特性,支承和约束刚度系数的变化对系统固有特性和稳定性产生很大的影响:随着弹簧刚度的增大,系统的固有频率上升,管道失稳方式从颤振变为屈曲,并且影响系统其他参数对管道动力学特性的作用。
According to the general expression of modal function of lateral bending vibration of beam model, the general expression of modal function is determined by the boundary constraint condition. The motion equation is developed in modal space by Galerkin method. By using dynamic analysis method, The ends of linear spring support and torsion spring constraints constrain the inherent characteristics and stability of cantilever pipelines from non-conservative systems to conservative systems. The numerical simulation results show that this special boundary flow pipe has complex dynamic characteristics. The change of bearing and restraining stiffness coefficient has a great influence on the inherent characteristics and stability of the system. With the increase of spring stiffness, The natural frequency increases and the pipe instability mode changes from flutter to buckling, and affects the effect of other system parameters on the pipeline dynamics.