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柔性并聯(lián)機(jī)器人非線性摩擦動力學(xué)建模與速度規(guī)劃
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國家自然科學(xué)基金項(xiàng)目(51275353、51275209)、天津市應(yīng)用基礎(chǔ)與前沿技術(shù)研究計(jì)劃重點(diǎn)項(xiàng)目(14JCZDJC39100)、天津市高等學(xué)??萍及l(fā)展基金計(jì)劃項(xiàng)目(20140401)和天津市智能制造重大科技專項(xiàng)(15ZXZNGX00040、15ZXZNGX00270)


Nonlinear Friction Dynamic Modeling and Velocity Planning of Flexible Parallel Robot
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    摘要:

    為了實(shí)現(xiàn)柔性并聯(lián)機(jī)器人的高速、高精度控制,基于Hensens & Kostic理論,計(jì)入關(guān)節(jié)非線性摩擦力建立了Lagrange動力學(xué)誤差模型,測試了補(bǔ)償前后機(jī)器人的單點(diǎn)定位誤差。基于機(jī)構(gòu)最大速度和加速度約束條件,分析了S型和常用T型2種速度規(guī)劃算法下機(jī)器人的位置誤差和速度性能。仿真結(jié)果表明:T型速度規(guī)劃位置和速度跟蹤最大誤差為78.1μm和11.4mm/s,而S型速度規(guī)劃分別是37.8μm和3.72mm/s,且2個終止點(diǎn)定位誤差僅為8.1μm和8.9μm;速度性能方面,S型速度峰值誤差變化最大僅為1.74mm/s,遠(yuǎn)小于T型速度規(guī)劃的6.88mm/s??梢姡诟咚傧耂型速度規(guī)劃算法保證了較高的位置跟蹤精度尤其是定位精度,速度尖峰突變小且整體曲線相對平緩,大幅提高了速度跟蹤精度和運(yùn)動平穩(wěn)性,更易于實(shí)現(xiàn)機(jī)器人高速、高精度平穩(wěn)控制。實(shí)驗(yàn)測試了機(jī)器人連續(xù)運(yùn)動下定點(diǎn)位置誤差,仿真所得位置誤差小于實(shí)測數(shù)據(jù),存在100μm左右的誤差,但所得結(jié)論一致,驗(yàn)證了仿真分析的有效性。

    Abstract:

    In order to realize control of robot in high speed and accuracy, Lagrange method was applied to deduce dynamic model and nonlinear friction force dynamic compensation model based on Hensens & Kostic theory. The single point positioning error was analyzed before and after compensation. A kind of S type velocity planning method was designed based on the constrain model of maximum speed and acceleration. Performance test in real time was implanted between T and S types velocity control algorithm about position and speed tracing. The experiment data indicated that the maximum position tracking error and speed tracking error of T type velocity planning were increased to 78.1μm and 11.4mm/s. But those of S type velocity planning were only 37.8μm and 3.72mm/s. Location accuracy of S type planning at two termination points reached 8.1μm and 8.9μm. The maximum speed difference of S type planning was 1.74mm/s which was much smaller than 6.88mm/s of T type velocity planning. High precision of position control especially termination-point location was ensured by S type velocity planning algorithm. Its peak velocity mutation was much smaller and velocity curve was also smoother compared with that of T type velocity control algorithm. It was demonstrated that speed tracing performance and stability of motion were improved greatly. The contradiction of T type velocity planning existed between high speed movement and high precision control was effectively relieved. So S type velocity planning was much easier to realize the control of robot in high speed and accuracy. In order to verify the correctness of the simulation analysis conclusions,position error of robot was tested by laser interferometer under continuous motion at different speeds. Simulation data was less than experiment data. The data error was about 100μm between simulation and actual measurement. But the conclusions were consistent with the experiment. The validity of the simulation analysis method was verified.

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趙磊,范夢然,趙新華,周海波,欒倩倩.柔性并聯(lián)機(jī)器人非線性摩擦動力學(xué)建模與速度規(guī)劃[J].農(nóng)業(yè)機(jī)械學(xué)報(bào),2017,48(5):390-396. ZHAO Lei, FAN Mengran, ZHAO Xinhua, ZHOU Haibo, LUAN Qianqian. Nonlinear Friction Dynamic Modeling and Velocity Planning of Flexible Parallel Robot[J]. Transactions of the Chinese Society for Agricultural Machinery,2017,48(5):390-396.

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  • 收稿日期:2016-09-08
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  • 在線發(fā)布日期: 2017-05-10
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