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雙環(huán)多桿天線展開機(jī)構(gòu)運(yùn)動(dòng)學(xué)與動(dòng)力學(xué)分析
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國家自然科學(xué)基金項(xiàng)目(52105035、52075467)、河北省自然科學(xué)基金項(xiàng)目(E2021203109)、機(jī)器人技術(shù)與系統(tǒng)國家重點(diǎn)實(shí)驗(yàn)室開放研究項(xiàng)目(SKLRS-2021-KF-15)和河北省工業(yè)機(jī)械手控制與可靠性技術(shù)創(chuàng)新中心項(xiàng)目(JXKF2105)


Kinematics and Dynamics Analysis of Double-ring Multi-rod Antenna Deployable Mechanism
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    摘要:

    針對一種雙環(huán)多桿天線展開機(jī)構(gòu)進(jìn)行了運(yùn)動(dòng)學(xué)與動(dòng)力學(xué)特性分析,首先分析了展開機(jī)構(gòu)構(gòu)型特征,并對整體機(jī)構(gòu)進(jìn)行了單元分解,基于螺旋理論,繪制了單元機(jī)構(gòu)的螺旋約束圖;進(jìn)而建立了單元機(jī)構(gòu)的螺旋約束方程組,然后通過螺旋速度遞推求得機(jī)構(gòu)中構(gòu)件的角速度和質(zhì)心線速度,采用坐標(biāo)轉(zhuǎn)換求導(dǎo)法得到了速度雅可比矩陣,利用螺旋導(dǎo)數(shù)并基于螺旋加速度合成法則得到了構(gòu)件的螺旋加速度和角加速度以及質(zhì)心線加速度;最后基于拉格朗日方程,建立了整體機(jī)構(gòu)的動(dòng)力學(xué)方程,通過數(shù)值計(jì)算與模擬仿真,分析得到了不同構(gòu)件的運(yùn)動(dòng)學(xué)與動(dòng)力學(xué)特性,驗(yàn)證了理論推導(dǎo)的正確性。本文分析的雙環(huán)多桿天線展開機(jī)構(gòu)為單自由度機(jī)構(gòu),整體結(jié)構(gòu)簡單,僅需一個(gè)驅(qū)動(dòng)便可收攏和展開,基于螺旋理論和拉格朗日法相結(jié)合的運(yùn)動(dòng)學(xué)和動(dòng)力學(xué)建模分析方法物理意義明確,可以較好地應(yīng)用于此類空間可展開機(jī)構(gòu)的分析中。

    Abstract:

    The kinematics and dynamics characteristics of a double-ring multi-rod antenna deployment mechanism were analyzed. Firstly, the configuration characteristics of the deployment mechanism were analyzed, and the unit decomposition of the whole mechanism was carried out. Based on the screw theory, the screw constraint diagram of the unit mechanism was drawn. Then the screw constraint equations of the unit mechanism were established, and the angular velocity and the linear velocity of the center of mass of the components in the mechanism were obtained by the screw velocity recursion. The velocity Jacobian matrix was obtained by the coordinate transformation derivative method. The screw acceleration and angular acceleration of the components and the linear acceleration of the center of mass were obtained by using the screw derivative and the screw acceleration synthesis rule. Finally, based on the Lagrange equation, the dynamic equation of the whole mechanism was established. Through numerical calculation and simulation, the kinematic and dynamic characteristics of different components were analyzed, and the correctness of the theoretical derivation was verified. The overall structure of the double-ring multi-rod antenna deployment mechanism analyzed was simple. It was a single-degree-of-freedom mechanism that can be folded and unfolded with only one drive. The kinematics and dynamics modeling and analysis method based on the combination of screw theory and Lagrange method had clear physical meaning, it can be better applied to the analysis of such space deployable mechanisms.

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韓博,高超,韓媛媛,許允斗,姚建濤,趙永生.雙環(huán)多桿天線展開機(jī)構(gòu)運(yùn)動(dòng)學(xué)與動(dòng)力學(xué)分析[J].農(nóng)業(yè)機(jī)械學(xué)報(bào),2023,54(5):407-415,426. HAN Bo, GAO Chao, HAN Yuanyuan, XU Yundou, YAO Jiantao, ZHAO Yongsheng. Kinematics and Dynamics Analysis of Double-ring Multi-rod Antenna Deployable Mechanism[J]. Transactions of the Chinese Society for Agricultural Machinery,2023,54(5):407-415,426.

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  • 收稿日期:2023-02-15
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  • 在線發(fā)布日期: 2023-05-10
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