Hybrid modeling and analysis of multidirectional variable stiffness of the linear rolling guideway under combined loads

Hybrid modeling and analysis of multidirectional variable stiffness of the linear rolling guideway under combined loads
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组合载荷下直线滚动导轨多向变刚度混合建模与分析

DOI:
10.1177/0954406220908894
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发表时间:
2020-02
期刊:
Journal of Mechanical Engineering Science
影响因子:
--
通讯作者:
Zhao Wanhua
Zhao Wanhua
中科院分区:
其他
文献类型:
--
作者:
Yang Lei;Wang Lei;Zhao Wanhua

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在高速多轴机床的工作过程中,高进给加速度产生的惯性载荷和多轴结构形状变化引起的时变重力载荷导致直线滚动导轨受到时变的复杂载荷。现有模型不能有效地反映复杂载荷对直线滚动导轨多向刚度变化的影响。提出了直线滚动导轨多向刚度的混合模型及其求解算法。考虑了高速多轴机床结构中直线滚动导轨的复杂载荷条件。考虑转轮和钢轨弹性变形的影响,模拟了滚珠与沟槽之间的接触柔度。该模型可以较高精度地计算多向刚度。同时,正确反映了不同方向上刚度特性的差异。分析了滚动直线导轨在时变组合载荷作用下多向刚度的变化规律。该研究为综合评价直线滚动导轨的刚度特性提供了一种有效的方法,有助于高速机床结构的动态分析和主动设计。
In the working process of high-speed multiaxis machine tools, inertial loads due to high feed acceleration and time-varying gravity loads due to changing configuration of multiaxis structure result in time-varying complex loads applied to linear rolling guideway. Existing models cannot efficiently represent the effect of complex loads on multidirectional stiffness variation of linear rolling guideway. In this paper, a hybrid model of multidirectional stiffness of linear rolling guideway and the solving algorithm are proposed. The complex loading conditions of linear rolling guideway in high-speed multiaxis machine tool structure are considered. And contact flexibilities between rolling balls and grooves are modeled with the effect of elastic deformations of runner block and rail. The proposed model can calculate the multidirectional stiffness with high accuracy. Meanwhile the differences between the stiffness characteristics in different directions are represented correctly. The variations of multidirectional stiffness of linear rolling guideway under time-varying combined loads are analyzed. This study provides an effective way to comprehensively evaluate the stiffness characteristics of linear rolling guideway which can contribute to the dynamic analysis and active design of high-speed machine tool structure.
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