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SCARA并聯(lián)機(jī)構(gòu)剛度和動(dòng)力學(xué)分析
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江蘇省自然科學(xué)基金項(xiàng)目(BK20161192)


Stiffness and Dynamics Analysis of SCARA Parallel Mechanism
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    摘要:

    闡述了一種由2條RSS支鏈和2條R(SRS)2R支鏈構(gòu)成,,可實(shí)現(xiàn)SCARA運(yùn)動(dòng)的新型四自由度高速并聯(lián)機(jī)器人機(jī)構(gòu)。首先,,采用方位特征理論(POC)分析了該機(jī)構(gòu)的拓?fù)浣Y(jié)構(gòu)特征,,用矢量法求解了位置反解,;其次,運(yùn)用虛擬彈簧法建立了支鏈的剛度模型,并求解了支鏈的靜力學(xué)方程,;再次,利用旋量法得到支鏈中虛擬關(guān)節(jié)變形到末端變形的微分映射,,從而求得機(jī)構(gòu)的笛卡爾剛度矩陣,,根據(jù)機(jī)構(gòu)的轉(zhuǎn)動(dòng)和移動(dòng)剛度性能指標(biāo),分別分析了機(jī)構(gòu)在不同工作平面的剛度特性,。最后,,推導(dǎo)了機(jī)構(gòu)的主動(dòng)臂、從動(dòng)臂和動(dòng)平臺速度,、加速度方程,,并運(yùn)用虛功原理建立了機(jī)構(gòu)的動(dòng)力學(xué)模型,通過ADAMS三維模型仿真驗(yàn)證了動(dòng)力學(xué)模型的正確性,,為該機(jī)構(gòu)的進(jìn)一步研究及實(shí)際應(yīng)用奠定了理論基礎(chǔ),。

    Abstract:

    There is a wide range of industrial applications for the 4DOF parallel mechanism which can achieve SCARA type output motion (three dimensional translation and one dimensional rotation). A novel fourdegreeoffreedom highspeed parallel robot mechanism for SCARA was proposed, which consisted of two RSS branches and two R(SRS)2R branches. Firstly, the topological structure characteristics such as the POC set of moving platform and mobility were first obtained based on the design theory of position and orientation characteristic (POC) set. Secondly, the virtual spring method was used to establish the stiffness model of the branch and the static of the branch was given. The differential mapping of the virtual joint deformation to the end deformation in the branch was obtained by the spin method and the Cartesian stiffness matrix at the end of the mechanism was obtained according to the static equation. By means of a nondimensionalization of the stiffness matrix, the 6×6 inhomogeneous stiffness matrix was decomposed into two homogeneous submatrices, of which two performance indices, corresponding to the translational and rotational stiffnesses, were defined to evaluate the stiffness behaviors of the manipulators. And the stiffness index analysis of the mechanism was carried out, and the stiffness characteristics of the mechanism in different working planes were analyzed. In addition, the dynamic analysis of the mechanism was performed to solve the velocity and acceleration of the active pair, the passive pair and the moving platform of the mechanism. The dynamic equation of the mechanism was established by using the virtual work principle. Finally, the simulation was compared with the ADAMS threedimensional model simulation to verify the dynamics. The correctness of the modeling laid the foundation for further research and practical application of the organization.

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朱偉,郭倩,馬致遠(yuǎn),沈惠平,吳廣磊. SCARA并聯(lián)機(jī)構(gòu)剛度和動(dòng)力學(xué)分析[J].農(nóng)業(yè)機(jī)械學(xué)報(bào),2019,50(10):375-385. ZHU Wei, GUO Qian, MA Zhiyuan, SHEN Huiping, WU Guanglei. Stiffness and Dynamics Analysis of SCARA Parallel Mechanism[J]. Transactions of the Chinese Society for Agricultural Machinery,2019,50(10):375-385.

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  • 收稿日期:2019-03-02
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  • 在線發(fā)布日期: 2019-10-10
  • 出版日期: 2019-10-10
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