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论文摘要

一种空间柔性机械臂接触动力学仿真的模型降阶方法

A Model Order Reduction Method for Impact-contact Dynamics Simulation of Flexible Space Robotic Manipulator

作者:乔兵(南京航空航天大学 航天学院);吴晓健(南京航空航天大学 航天学院)

Author:Qiao Bin(College of Astronautics,Nanjing Univ.of Aeronautics and Astronautics);Wu Xiaojian(College of Astronautics,Nanjing Univ.of Aeronautics and Astronautics)

收稿日期:2011-12-19          年卷(期)页码:2012,44(4):214-220

期刊名称:工程科学与技术

Journal Name:Advanced Engineering Sciences

关键字:空间机器人;接触碰撞;动力学模型;模型降阶

Key words:space robotic manipulator;impact-contact;dynamics model;model order reduction

基金项目:国家自然科学基金

中文摘要

研究了空间机械臂接触/碰撞动力学仿真模型降阶问题。以刚体近似模型方法建立了空间机械臂的接触动力学模型,并通过线性化将其转化为状态方程形式,根据赫兹接触理论建立了接触/碰撞力的模型,在此基础上根据控制理论中主导极点的概念研究了基于系统主导特征值的接触动力学模型降阶方法。以一个3自由度平面机器人的接触碰撞问题为例进行了计算机仿真试验,结果表明,接触/碰撞动力学仿真模型降阶方法能够在高度逼近原系统的前提下显著提高空间机器人接触碰撞动力学仿真的计算速度。

英文摘要

A new method of model order reduction for impact-contact dynamics simulation of space robotic manipulator was proposed.The impact-contact dynamics model of space robotic manipulator was constructed through the rigid body approximation method and Herz impact-contact force model.The corresponding state space equation of the space robotic manipulator was obtained by the linearization to the impact-contact dynamics model at the reference point.Then the eigenvalues of this linearized state space equation were solved to deal with the model order reduction of the system in which the eigenvalues with larger negative real part were disregarded because these eigenvalues usually represent the rapidly decayed modal responses with high frequencies.An example of 3-DOF planar robotic manipulator conducting contact manipulation was presented to verify the feasibility and efficiency of the proposed model order reduction method.

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