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滾珠絲杠進(jìn)給系統(tǒng)動態(tài)特性集中質(zhì)量建模與仿真
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“十二五”國家科技支撐計劃資助項目(2012BAF01B02)和同濟(jì)大學(xué)中德學(xué)院MAG制造技術(shù)基金資助項目


Dynamic Characteristics Modeling and Simulation of Ball Screw Feed Drive System Based on Lumped Mass Model
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    摘要:

    為了研究高速滾珠絲杠進(jìn)給系統(tǒng)的動態(tài)特性,提出一種改進(jìn)的集中質(zhì)量建模方法,該方法考慮了滾珠絲杠進(jìn)給系統(tǒng)基座的質(zhì)量、柔性及進(jìn)給系統(tǒng)部件間反向間隙對系統(tǒng)動態(tài)特性的影響,并完善了滾珠絲杠進(jìn)給系統(tǒng)集中質(zhì)量模型等效參數(shù)的計算方法。以MAG某加工中心 X 軸滾珠絲杠進(jìn)給系統(tǒng)為實驗對象,對該集中質(zhì)量模型建模方法進(jìn)行實驗驗證,仿真結(jié)果與實測結(jié)果具有相同數(shù)量的特征頻率,且特征頻率的誤差在5%以內(nèi)。滾珠絲杠進(jìn)給系統(tǒng)的仿真分析表明,螺母位置改變引起的進(jìn)給系統(tǒng)固有頻率變化將影響伺服系統(tǒng)的穩(wěn)定性,滾珠絲杠進(jìn)給系統(tǒng)中的反向間隙會激勵部件產(chǎn)生高頻振動,給進(jìn)給系統(tǒng)帶來不利影響。

    Abstract:

    High speeds and acceleration create high reactive forces between the moving mass and the stationary bodies of the ball screw feed drive system and excite the structure which causes undesired vibrations. Therefore, it is necessary to have an accurate dynamic model of the feed drive system for machine design and controller tuning. An optimized dynamic modelling and simulation method of a ball screw feed drive was presented based on the lumped mass model. The mass and the rigidity of the ball screw feed drive basis were considered in this new model and the calculation method of the equivalent parameters was optimized. Simulative and experimental examinations were conducted based on an X -axial ball screw feed drive system on a MAG machining center and the presented method was proved to be accurate because of the same eigenfrequency number and the limited error (less than 5%) between the simulated and measured eigenfrequencies of the ball screw feed drive system. Based on this model the vibration characteristic of a ball screw feed drive system was studied. The simulation results showed that the natural frequency change caused by the nut position change affected the stability of the servo system, and the backlash of feed drive system encouraged the components to produce high-frequency vibration and made the servo system unstable.

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羅亮,張為民,周敏劍,Jürgen Fleischer.滾珠絲杠進(jìn)給系統(tǒng)動態(tài)特性集中質(zhì)量建模與仿真[J].農(nóng)業(yè)機(jī)械學(xué)報,2015,46(12):370-377. Luo Liang, Zhang Weimin, Zhou Minjian, Jürgen Fleischer. Dynamic Characteristics Modeling and Simulation of Ball Screw Feed Drive System Based on Lumped Mass Model[J]. Transactions of the Chinese Society for Agricultural Machinery,2015,46(12):370-377.

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  • 在線發(fā)布日期: 2015-12-10
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