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綜合關節(jié)和桿件柔性的機械臂剛柔耦合建模與仿真
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國家自然科學基金資助項目(50905170),、浙江省自然科學基金資助項目(Y1090042),、機器人學國家重點實驗室開放基金資助項目(RL0200918)和浙江省新苗人才計劃資助項目(2011R409036)


Dynamics and Simulation of Rigid-flexible Coupling Robot Arm with Flexible Joint and Link
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    摘要:

    基于Lagrangian方程和轉子非線性扭簧模型,建立柔性機械臂剛柔耦合動力學模型,;通過假設模態(tài)法將物理坐標轉換為模態(tài)坐標,;利用ADAMS建立了虛擬樣機,用于求解僅考慮桿件柔性時的運動,;在Matlab中編寫了Runge-Kutta算法,,用于求解綜合關節(jié)和桿件柔性時的運動。針對重力和驅動力作用下的垂直面擺動,,給出了不同末端負載影響下的柔性關節(jié)轉角和末端變形曲線,;分析了關節(jié)柔性與桿件柔性之間的耦合關系。結果表明關節(jié)柔性不可忽略,關節(jié)和桿件柔性耦合作用下的末端振動小于兩者的疊加,,振型由關節(jié)和桿件的柔性確定,,但幅值主要受驅動力影響。

    Abstract:

    For the flexible manipulator, rigid-flexible coupling dynamics model was established based on the Lagrangian equations by regarding the flexible joint as a non-linear torsional spring model. Assumed model method was used to transform physical coordinate to modal coordinate. ADAMS was adopted to build virtual prototype for simulation of link flexibility. A Runge-Kutta algorithm was programmed by Matlab to solve dynamics equations considering both link and joint flexibility. Aiming at simulation of manipulators swing under the gravity and driving torque, tip deformation and angle under different loads were given. Coupling characteristics of the joint and link flexibility were studied. Results showed that joint flexibility could not be ignored. The vibration range of manipulator under coupling of the joint and link flexibility was less than sum of individual flexibility vibration. Vibration mode was determined by the joint and link flexibility jointly, but amplitude was mainly influenced by driving torque. The dynamics and solving method were proper.

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王斌銳,方水光,金英連.綜合關節(jié)和桿件柔性的機械臂剛柔耦合建模與仿真[J].農業(yè)機械學報,2012,43(2):211-215,225. Wang Binrui, Fang Shuiguang, Jin Yinglian. Dynamics and Simulation of Rigid-flexible Coupling Robot Arm with Flexible Joint and Link[J]. Transactions of the Chinese Society for Agricultural Machinery,2012,43(2):211-215,225.

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  • 在線發(fā)布日期: 2012-02-17
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