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雙螺母滾珠絲杠副導(dǎo)程誤差與摩擦力矩關(guān)系研究
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國家重大科技專項(2019ZX04012001-004)


Relationship between Lead Error and Friction Torque of Double-nut Ball Screw
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    摘要:

    為了準(zhǔn)確計算雙螺母滾珠絲杠副的摩擦力矩,基于載荷和變形協(xié)調(diào)理論,分析了導(dǎo)程誤差對載荷分布不均勻程度的影響,結(jié)合預(yù)緊力和滾珠形變提出雙螺母滾珠絲杠副導(dǎo)程誤差與摩擦力矩的關(guān)系模型。利用行程誤差試驗臺測量不同精度等級絲杠的導(dǎo)程誤差,并將各絲杠分別匹配同一套螺母,、墊片,、滾珠,組成絲杠副,測量滾珠絲杠副的摩擦力矩,。結(jié)果表明,在考慮滾珠絲杠導(dǎo)程誤差和滾珠載荷分布不均的情況下,導(dǎo)程誤差與摩擦力矩呈線性關(guān)系,不同精度等級絲杠對應(yīng)的摩擦力矩計算結(jié)果與試驗值的相對誤差為0~8.79%,均小于文獻(xiàn)\[6\]模型的計算結(jié)果,從而驗證了本文模型的有效性,。

    Abstract:

    In order to calculate the friction torque of double-nut ball screw more accurately, based on the load distribution models, the influence of lead error on load distribution was analyzed. The calculation results showed that lead error directly led to uneven load distribution of ball screw and if ignoring the screw, nut elastic deformation and other errors, the axial deformation of each ball was linearly distributed. Only to calculate the axial deformation of the first ball and the lead error between balls, the total deformation of balls, preload and friction torque of ball screw can be calculated. And when the thickness of gasket was constant, the axial offset of nuts raceway curvature center and the axial offset of curvature center of screw raceway contacting the first ball to the two nuts midplane can be determined by numerical fitting of lead error and friction. Based on these, the relationship model between friction torque and lead error of double-nut ball screw was proposed. To verify the model, the lead error of screws with different accuracy levels was measured, and each screw was assembled with the same nut, gasket and balls to form a ball screw pair, and the friction torque was measured. The test results showed that the relative error between friction torque value calculated by previous model and test value was 11.75%~54.69%, while the relative error between friction torque value calculated by the model and test value was 0~8.79%. The relative error was obviously small, which indicated that the model can more accurately predict the influence of lead error on ball screw friction torque. The problem that ball screw led error and ball load distribution was not considered when calculating the friction torque of ball screw was solved, and the validity of the model was verified.

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祖莉,林煒國,張魯超,歐屹,王凱.雙螺母滾珠絲杠副導(dǎo)程誤差與摩擦力矩關(guān)系研究[J].農(nóng)業(yè)機械學(xué)報,2021,52(6):397-406. ZU Li, LIN Weiguo, ZHANG Luchao, OU Yi, WANG Kai. Relationship between Lead Error and Friction Torque of Double-nut Ball Screw[J]. Transactions of the Chinese Society for Agricultural Machinery,2021,52(6):397-406.

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  • 收稿日期:2020-06-25
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  • 在線發(fā)布日期: 2021-06-10
  • 出版日期: 2021-06-10
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