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基于拉格朗日的冗余驅(qū)動(dòng)并聯(lián)機(jī)構(gòu)剛體動(dòng)力學(xué)建模
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國(guó)家自然科學(xué)基金資助項(xiàng)目(51005138),、山東省優(yōu)秀中青年科學(xué)家科研獎(jiǎng)勵(lì)基金資助項(xiàng)目(BS2012ZZ008)、山東省泰山學(xué)者建設(shè)工程專(zhuān)項(xiàng)資金資助項(xiàng)目(tshw20130956),、山東科技大學(xué)杰出青年基金資助項(xiàng)目(2011KYJQ102)和山東科技大學(xué)研究生創(chuàng)新基金資助項(xiàng)目(YCA120329)


Rigid Dynamics Modeling of Redundant Actuation Parallel Mechanism Based on Lagrange Method
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    摘要:

    針對(duì)4-UPS-RPU 4自由度冗余驅(qū)動(dòng)并聯(lián)機(jī)構(gòu)的剛體動(dòng)力學(xué)建模問(wèn)題,,基于拉格朗日方程建立冗余驅(qū)動(dòng)并聯(lián)機(jī)構(gòu)動(dòng)力學(xué)模型。首先,,推導(dǎo)出4-UPS-RPU冗余驅(qū)動(dòng)并聯(lián)機(jī)構(gòu)系統(tǒng)的動(dòng)能表達(dá)式,、勢(shì)能表達(dá)式和作用于并聯(lián)機(jī)構(gòu)非保守力的等效廣義力;然后,,應(yīng)用拉格朗日法建立 4-UPS-RPU冗余驅(qū)動(dòng)并聯(lián)機(jī)構(gòu)的動(dòng)力學(xué)模型,,為并聯(lián)機(jī)構(gòu)驅(qū)動(dòng)力的求解以及整個(gè)機(jī)構(gòu)的動(dòng)力學(xué)分析奠定基礎(chǔ);最后結(jié)合算例,采用Matlab編程對(duì)動(dòng)力學(xué)模型進(jìn)行數(shù)值計(jì)算并繪制了機(jī)構(gòu)驅(qū)動(dòng)桿驅(qū)動(dòng)力變化曲線,,將上述分析結(jié)果與ADAMS虛擬仿真結(jié)果對(duì)比驗(yàn)證了所建動(dòng)力學(xué)模型的正確性,。研究不僅為4-UPS-RPU 4自由度冗余驅(qū)動(dòng)并聯(lián)機(jī)構(gòu)動(dòng)力學(xué)優(yōu)化設(shè)計(jì)和控制等后續(xù)研究提供了理論依據(jù),也為其他冗余驅(qū)動(dòng)并聯(lián)機(jī)構(gòu)的動(dòng)力學(xué)建模提供了可行的方法,。

    Abstract:

    To realize the rigid dynamics modeling of a novel 4-UPS (universal joints-prismatic pairs-spherical joints)-RPU (revolution joints-prismatic pairs-universal joints) spatial 4-degree of freedom redundant actuation parallel mechanism, the Lagrange method was adopted. Firstly, the expression of kinetic energy and potential energy of 4-UPS-RPU redundant actuation parallel mechanism were educed, and the equivalent generalized force of non conservative force was analyzed. Secondly, the dynamics model of 4-UPS-RPU redundant actuation parallel mechanism was established by the Lagrange method, which was the foundation of the solution of driving force and dynamic analysis. Finally, the driving forces of 4-UPS-RPU spatial 4-degree of freedom redundant actuation parallel mechanism were solved by theoretical calculation and virtual simulation combined with examples, respectively. The numerical results obtained by solving the dynamics model of the 4-UPS-RPU parallel mechanism by Matlab were in agreement well with the virtual simulation results by ADAMS. The results can provide theoretical basis for dynamic optimization design and control of 4-UPS-RPU parallel mechanism, and also suggest a way of thinking about rigid body dynamics modeling for other redundant actuation spatial parallel mechanism.

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陳修龍,孫德才,王清.基于拉格朗日的冗余驅(qū)動(dòng)并聯(lián)機(jī)構(gòu)剛體動(dòng)力學(xué)建模[J].農(nóng)業(yè)機(jī)械學(xué)報(bào),2015,46(12):329-336. Chen Xiulong, Sun Decai, Wang Qing. Rigid Dynamics Modeling of Redundant Actuation Parallel Mechanism Based on Lagrange Method[J]. Transactions of the Chinese Society for Agricultural Machinery,2015,46(12):329-336.

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  • 收稿日期:2015-03-25
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  • 在線發(fā)布日期: 2015-12-10
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