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FINITE ELEMENT FORMULATION OF PRE-STRESSED BALL SCREW DRIVES

机译:预应力滚珠丝杠驱动器的有限元公式

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摘要

In this paper a stiffness matrix of the ball screw drive element is formulated as an approach for substitute modelling of the stiffness conditions at the ball-groove contacts in the engagement region of the ball screw and the nut. A scalar spring model is proposed, for the coupling between the ball screw and the nut with respect to both the stiffness properties and the screw degree of freedom of the ball screw drive. This permits combined modelling and vibration analysis of entire frame structures including ball screw feed drive systems by means of integral finite element models. The feed axis of a feed drives test station serves here as an example for demonstration and for verification of the modelling approach. A reduced order representation of the finite element model is used for simulation of the feed axis in control, the results of which match corresponding measurement results obtained from the test station.
机译:在本文中,滚珠丝杠驱动元件的刚度矩阵被公式化为一种替代模型,用于对滚珠丝杠和螺母的接合区域中的滚珠凹槽接触处的刚度条件进行建模。提出了一种标量弹簧模型,用于在滚珠丝杠和螺母之间的刚性和滚珠丝杠驱动器的自由度方面的耦合。这样就可以通过整体有限元模型对包括滚珠丝杠进给驱动系统在内的整个框架结构进行组合建模和振动分析。进给驱动测试站的进给轴在此处用作示例,用于验证建模方法。有限元模型的降阶表示用于控制中进给轴的仿真,其结果与从测试站获得的相应测量结果相匹配。

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