首页> 外文期刊>Proceedings of the Institution of Mechanical Engineers. Part K, Journal of Multi-body Dynamics >The impact of vibration response due to rolling bearing components waviness on the performance of grinding machine spindle system
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The impact of vibration response due to rolling bearing components waviness on the performance of grinding machine spindle system

机译:振动响应引起的影响滚动轴承部件对磨床主轴系统性能的影响

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摘要

In this research, an analytical model based on a five-degrees-of-freedom nonlinear dynamical system was utilized to investigate the impact of vibration response due to inner race, outer race, and ball bearing waviness on the performance of grinding machine spindle system supported by two angular ball bearings. The waviness of rolling elements is modeled as a sinusoidal function is incorporated along the inner or outer races of bearing and ball surface. The elastic deflection and nonlinear contact force are calculated based on Hertzian contact model, while the shaft has five-degrees-of-freedom motions, three translational and two angular motions. The five-degrees-of-freedom nonlinear governing equations of the spindle system were developed taking into consideration the effect of outer race, inner race, and ball surface waviness, which are included in the kinematic constraints and force equilibrium equations of a ball. The developed model and its results are validated against results found in literature. Results by this paper indicate that the inner race waviness can significantly distort the tolerance and machining quality of grinding spindle-bearing systems more than does waviness in the outer race and ball elements. This is because the inner race waviness generates more complicated vibrations than the outer race and ball waviness. The most severe vibrations caused by the inner race waviness were found to occur when the waviness was of the order that is equal to multiple of number of balls in a bearing set plus or minus one (WO=iNb +/- 1).
机译:在该研究中,利用基于五个自由度非线性动力系统的分析模型来研究由于内部竞争,外部竞争和滚珠轴承波动支持的振动响应对支撑的磨削机主轴系统的性能的影响两个角球轴承。滚动元件的波纹被建模为正弦功能沿着轴承和球面的内部或外梯度结合在一起。弹性偏转和非线性接触力是基于赫斯氏触点型号计算的,而轴具有五种自由运动,三种平移和两个角动作。考虑到外圈,内部竞争和球面波纹的效果,开发了主轴系统的五个自由度非线性控制方程,其包括在运动中的运动限制和力平衡方程中。开发的模型及其结果验证了文献中的结果。本文的结果表明,内部血波可以显着扭曲磨削主轴轴承系统的容差和加工质量,而不是外部赛道和球元件的波动。这是因为内部竞争波动产生比外部竞争和球波纹更复杂的振动。当波纹是等于轴承套装中的轴数或减1(WO = INB +/-1)时,发现由内部血管伏特引起的最严重的振动。

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