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柔性并聯(lián)機(jī)器人動(dòng)力學(xué)建模
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國家自然科學(xué)基金資助項(xiàng)目(50965007);國家杰出青年基金資助項(xiàng)目(50825504)


Dynamic Modeling of Flexible Parallel Robot
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    摘要:

    針對(duì)一般柔性并聯(lián)機(jī)器人動(dòng)力學(xué)模型,提出了一種精確而簡(jiǎn)單的動(dòng)力學(xué)建模方法。根據(jù)并聯(lián)機(jī)器人結(jié)構(gòu)特點(diǎn),將其劃分為若個(gè)剛性子結(jié)構(gòu)和彈性子結(jié)構(gòu),形成一個(gè)剛?cè)峤Y(jié)合的系統(tǒng)。靜平臺(tái)和動(dòng)平臺(tái)相對(duì)其他構(gòu)件變形較小,將它們作為剛性子結(jié)構(gòu),各個(gè)支鏈作為彈性子結(jié)構(gòu)。分別建立各子結(jié)構(gòu)的動(dòng)力學(xué)方程,彈性子結(jié)構(gòu)采用有限元法和模態(tài)綜合法建立其動(dòng)力學(xué)方程;考慮各個(gè)柔性支鏈彈性變形對(duì)剛性子結(jié)構(gòu)的影響,建立剛性子結(jié)構(gòu)動(dòng)力學(xué)方程;推導(dǎo)出相鄰的剛性子結(jié)構(gòu)和彈性子結(jié)構(gòu)之間的幾何約束關(guān)系。通過相鄰子結(jié)構(gòu)的協(xié)調(diào)矩陣,將各個(gè)子結(jié)構(gòu)的方程進(jìn)行裝配形成系統(tǒng)的彈性動(dòng)力學(xué)方程。通過一種高速并聯(lián)機(jī)械手的動(dòng)力學(xué)特性比較分析,表明該方法的正確性和可行性。由于引入剛性子結(jié)構(gòu)和采用了模態(tài)綜合法,減少了系統(tǒng)自由度數(shù),從而簡(jiǎn)化了計(jì)算模型,為柔性并聯(lián)機(jī)器人提供一種實(shí)用的建模方法。

    Abstract:

    An accurate and simple method for dynamic modeling of general flexible parallel robot was proposed. According to the structural character of the parallel robot, it was devided into rigid sub-structure and elastic sub-structure, and the rigid-flexible coupling system was formed. The static platform and mobile platform were treated as rigid sub-structure because its deformations were smaller compared to the other part. The chains were treated as flexible sub-structure. The dynamic equations of each sub-structure were obtained, respectively. The dynamic equations of elastic sub-structure were obtained by using the finite element method and mode synthesis method. The dynamic equations of rigid sub-structure were built accounting for the effects of deformation of flexible sub-structure. The geometrical constraint relationship between three flexible sub-structures and the rigid platform was investigated to obtain a simple displacement and dynamic relation between them. The equations of all sub-structure were assembled to get the system dynamic equations. The comparative analysis of dynamic characteristics of a high-speed parallel manipulator show that the method is correct and feasible. Due to introducing the rigid sub-structure and application of the mode synthesis, the number of system freedom was reduced and the computational modeling was simplified. It provided a practical method for flexible parallel robot.

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胡俊峰,張憲民,朱大昌,陳強(qiáng).柔性并聯(lián)機(jī)器人動(dòng)力學(xué)建模[J].農(nóng)業(yè)機(jī)械學(xué)報(bào),2011,42(11):208-213. Hu Junfeng, Zhang Xianmin, Zhu Dachang, Chen Qiang. Dynamic Modeling of Flexible Parallel Robot[J]. Transactions of the Chinese Society for Agricultural Machinery,2011,42(11):208-213.

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