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针对基于泛函集成理论并以通用膜厚方程系数为优化变量,以最大承载力为优化目标得到的圆轴承和非圆轴承进行动力特性及稳定性研究。采用有限差分法Matlab编程求解动态扰动压力的雷诺方程,分别计算基于通用膜厚方程的圆轴承和非圆轴承动力特性系数,采用数值分析方法研究二者的稳定性。同时运用通用有限元软件ANSYS对转子系统进行动力学模态分析,得到固有频率和临界转速。研究结果表明:无量纲承载力在0.619 0之前非圆轴承稳定性更好,在此之后圆轴承稳定性更好。最大承载力状态下,圆轴承的临界转速大于非圆轴承的临界转速。因此,以泛函集成理论为基础的轴承形状优化应该在保证一定承载力的条件下,以稳定性为优化目标,寻求性能更优的轴承。
Aiming at the dynamic characteristics and stability of circular and non-circular bearings based on functional integration theory and taking the common equation of thickness coefficient as optimization variables, the maximum bearing capacity is taken as the optimization objective. The finite difference method Matlab was used to solve the dynamic disturbance pressure Reynolds equation, and the dynamic characteristic coefficients of the circular bearing and the non-circular bearing based on the universal film thickness equation were calculated respectively. The numerical analysis method was used to study the stability of the two. At the same time, the common finite element software ANSYS was used to analyze the dynamics of the rotor system to obtain the natural frequency and the critical speed. The results show that the non-circular bearing with non-dimensional bearing capacity before 0.6190 is more stable and the circular bearing is more stable. Under the condition of maximum capacity, the critical speed of the circular bearing is greater than the critical speed of the non-circular bearing. Therefore, the optimization of bearing shape based on functional integration theory should be based on the stability as the optimization objective, and the bearings with better performance should be sought under the condition of ensuring a certain bearing capacity.