【摘要】：基于具有對稱性和對偶性的正十二面體,設(shè)計了一種以三、四、五邊形為耦合節(jié)點的二十面體單移動可展機構(gòu)。首先,在正十二面體的十個面上添加一種頂點,通過增加頂點種類以增加耦合節(jié)點種類,從而得到具有三、四、五邊形結(jié)構(gòu)的節(jié)點構(gòu)件。根據(jù)構(gòu)件連接情況設(shè)計四類替換構(gòu)件,將替換構(gòu)件用轉(zhuǎn)動副(R副)依次連接,構(gòu)造耦合機構(gòu)基礎(chǔ)模型。其次,基于螺旋理論應(yīng)用分流法計算其自由度。最后,進行主動輸入選取分析及構(gòu)建耦合機構(gòu)的三維模型,設(shè)置方向相反的驅(qū)動條件分別進行仿真運動,應(yīng)用Matlab得到動平臺和節(jié)點構(gòu)件的位置變化曲線,仿真結(jié)果與理論分析結(jié)果相統(tǒng)一,表明提出的機構(gòu)具有伸縮運動特性。
[Abstract]:Based on the symmetry and duality of the normal dodecahedron, an icosahedron single moving developable mechanism with three, four and five quadrilateral coupling nodes is designed. Firstly, a vertex is added to the ten planes of the regular dodecahedron. By adding the type of vertex to increase the type of coupling nodes, the node members with three, four, and pentagonal structures are obtained. According to the connection of components, four kinds of replacement components are designed. The replacement components are connected with rotating pairs (R pairs) in turn, and the basic model of coupling mechanism is constructed. Secondly, the degree of freedom is calculated by using the shunt method based on spiral theory. Finally, the active input selection analysis and the construction of the coupling mechanism 3D model are carried out, and the driving conditions with opposite direction are set to simulate the motion respectively, and the position change curves of the moving platform and the node members are obtained by using Matlab. The simulation results are consistent with the theoretical analysis results, which show that the proposed mechanism has the characteristics of telescopic motion.
【作者單位】： 北京工業(yè)大學機械工程與應(yīng)用電子技術(shù)學院;北京工業(yè)大學先進制造技術(shù)北京市重點實驗室;
【基金】：國家自然科學基金項目(51475015)
【分類號】：TH112

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