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基于GS法球面4桿機(jī)構(gòu)5精確點(diǎn)軌跡綜合

發(fā)布時(shí)間:2018-03-21 21:13

  本文選題:軌跡綜合 切入點(diǎn):球面桿機(jī)構(gòu) 出處:《北京理工大學(xué)學(xué)報(bào)》2016年08期  論文類型:期刊論文


【摘要】:提出了球面4桿機(jī)構(gòu)5精確點(diǎn)軌跡綜合代數(shù)消元方法.基于球面空間轉(zhuǎn)移矩陣建立了該問題的設(shè)計(jì)方程,使用Groebner基和Sylvester結(jié)式(GS法)相結(jié)合的代數(shù)方法進(jìn)行求解,最終獲得一元高次方程及其全部封閉解析解.通過數(shù)值實(shí)例,并使用Solidworks軟件對(duì)計(jì)算結(jié)果進(jìn)行仿真,結(jié)果表明該方法的正確性.該方法為進(jìn)一步采用代數(shù)法對(duì)其他類型球面機(jī)構(gòu)軌跡綜合問題的研究提供了參考.
[Abstract]:In this paper, a synthetic algebraic elimination method for 5 accurate point locus of spherical four-bar mechanism is proposed. The design equation of the problem is established based on the spherical space transfer matrix and solved by the algebraic method combining Groebner basis and Sylvester resultant GS method. Finally, the univariate higher order equation and all its closed analytic solutions are obtained. The numerical example is used to simulate the results by using Solidworks software. The results show that the method is correct and provides a reference for the further study of trajectory synthesis of other types of spherical mechanisms by algebraic method.
【作者單位】: 北京郵電大學(xué)自動(dòng)化學(xué)院;河南理工大學(xué)機(jī)械與動(dòng)力工程學(xué)院;
【基金】:國(guó)家自然科學(xué)基金資助項(xiàng)目(51375059) 國(guó)家高新技術(shù)研究與發(fā)展計(jì)劃資助項(xiàng)目(2011AA040203) 糧食公益性行業(yè)科研專項(xiàng)資助項(xiàng)目(201313009-06) 國(guó)家科技支撐計(jì)劃課題資助項(xiàng)目(2013BAD17B06) 科學(xué)研究與研究生培養(yǎng)共建項(xiàng)目-科研項(xiàng)目資助項(xiàng)目(機(jī)器人應(yīng)用關(guān)鍵技術(shù)研究)
【分類號(hào)】:TH112
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本文編號(hào):1645566

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