Mechanisms that generate Gerono's lemniscate

Product Design, Robotics, Advanced Mechanical and Mechatronic Systems and Innovation Conference

工业技术（总论）;机械制造

Popescu, I.^1 ; Luca, L.^2 ; Ghimisi, S.S.^2

Mechanical Faculty, University of Craiova, Craiova, Romania^1

Engineering Faculty, University Constantin Brancusi of Targu-Jiu, Targu-Jiu, Romania^2

关键词: Bibliographic references;    Contouring;    Geometric construction;    Geometrical aspects;   

Others  :  https://iopscience.iop.org/article/10.1088/1757-899X/514/1/012035/pdf
DOI  :  10.1088/1757-899X/514/1/012035

学科分类：工业工程学

来源: IOP

【 摘 要 】

It is presented Gerono's lemniscate with bibliographic references on the geometrical aspects of this curve vastly studied in literature. A mechanism of Artobolevski that draws this curve is studied. The desired lemniscate was obtained. We synthesize a new, original mechanism that generates this curve, starting from two references showing a geometric construction and animation. The mechanism obtained is of the type R-RPP-RPR-PRP, so that the relations of the positions are written by the contouring method and the desired lemniscate is obtained. There are changes in the mechanism resulting in similar but deformed curves.