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空間柔性閉鏈機器人動力學建模與振動仿真
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國家重點研發(fā)計劃項目(2017YFB1303502)、天津市重點研發(fā)計劃科技支撐重點項目(20YFZCGX01050)、天津市教委科研計劃項目(2017KJ259)、天津市應用基礎與前沿技術研究計劃重點項目(17JCYBJC18300、18JCYBJC87900)和天津理工大學教學基金項目(ZD20)


Dynamic Modeling and Vibration Simulation of Spatial Flexible Closed-chain Robot
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    摘要:

    空間閉鏈機器人的柔性連桿在高速運行狀態(tài)下產(chǎn)生的彈性變形對系統(tǒng)振動效應具有重要影響。為準確分析柔性連桿對空間柔性閉鏈機器人振動特性的影響,采用有限單元法對柔性構件進行離散,基于浮動坐標系法描述構件位移場,最后通過Lagrange方程建立空間剛柔耦合閉鏈機器人動力學模型及振動方程,并分析系統(tǒng)固有頻率和振型函數(shù)?;谕葏?shù),利用ADAMS/Vibration模塊建立了空間剛柔耦合閉鏈機器人的自激振動仿真模型,研究系統(tǒng)固有頻率和對應模態(tài)的變化,以及不同激振力作用下的頻率響應特征。結果表明:理論模型和仿真模型的動平臺運動軌跡基本一致,并且理論模型與振動仿真模型的固有頻率也具有一致性,驗證了振動仿真模型建立的正確性。隨著激振力幅值的增大,系統(tǒng)響應增強。同一激振頻率動平臺質心處Y方向響應最大,X方向次之,Z方向最小。其中,系統(tǒng)第11、12階模態(tài)對應的系統(tǒng)變形量最大,對應的激振頻率為40~60Hz。

    Abstract:

    The elastic deformation of the flexible link in the spatial closed-chain robot under high-speed operation has an important impact on the vibration effect of the system. In order to accurately analyze the influence of the flexible link on the vibration characteristics of the spatial flexible closed-chain parallel robot, the finite element method was used to discretize the flexible link, and then the component displacement vector was described by the floating frame reference method. Finally, the spatial rigid-flexible coupling closed-chain robot was established based on the Lagrange equations dynamic model and vibration equation, and the system natural frequency and vibration mode function were analyzed. Based on the same parameter conditions, the ADAMS/Vibration module was used to establish the vibration simulation model of the spatial rigid-flexible coupling closed-chain robot, and the self-excited vibration analysis was carried out to study the change of the system natural frequency and the corresponding modal, as well as the different excitations frequency response characteristics under force. The results showed that themotion trajectories of the end-effector of the theoretical and the simulation model were basically the same, and they were also consistent with the natural frequencies of the vibration simulation model, which verified the correctness of the simulation model. As the amplitude of the excitation force increased, the system response was increased. Corresponding to the same excitation frequency, the Y-direction response at the center of mass of the moving platform was the strongest, followed by the X-direction, and the Z-direction was the smallest. Among them, the system corresponding to the 11th to 12th modes had the largest deformation, and the corresponding excitation frequency was 40~60Hz.

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張青云,趙新華,劉涼,戴騰達.空間柔性閉鏈機器人動力學建模與振動仿真[J].農(nóng)業(yè)機械學報,2021,52(1):401-409. ZHANG Qingyun, ZHAO Xinhua, LIU Liang, DAI Tengda. Dynamic Modeling and Vibration Simulation of Spatial Flexible Closed-chain Robot[J]. Transactions of the Chinese Society for Agricultural Machinery,2021,52(1):401-409.

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  • 收稿日期:2020-04-21
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  • 在線發(fā)布日期: 2021-01-10
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