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本文叙述了转子—支承系统的不平衡响应和稳定性的计算分析方法。考虑了截面的转动惯性,陀螺力矩,剪切效应及材料的阻尼。油膜轴承和支座的动力特性用四个刚性系数和四个阻尼系数来描述。用虚功原理导出了系统的运动微分方程。将运动微分方程组降阶成八个等价的一阶微分方程,在相应的边界条件和连接条件下用龙格一库塔法数值积分。已编制了计算机程序,可计算不平衡响应、系统的阻尼频率、衰减系数,由此确定系统的阻尼临界转速和稳定性。给出了算例。文章还讨论了平衡问题。
This paper describes the calculation and analysis of the unbalance response and stability of the rotor-support system. The moment of inertia, gyroscopic moment, shear effect and damping of the material are taken into account. The dynamic characteristics of the oil film bearing and bearing are described by four stiffness factors and four damping factors. The system of differential equations of motion is derived using the principle of virtual work. The differential equations of motion are reduced to eight equivalent first-order differential equations, which are integrated by Runge-Kutta method under the corresponding boundary conditions and connection conditions. A computer program has been developed to calculate the unbalance response, the damping frequency and the damping coefficient of the system to determine the critical speed and the stability of the system. An example is given. The article also discusses the issue of balance.