Методика обобщенного подхода к синтезу кулачковых механизмов

N N Krokhmal

doi:10.22213/2413-1172-2021-2-15-20

Authors

N. N. Krokhmal Kurgan State University

DOI:

https://doi.org/10.22213/2413-1172-2021-2-15-20

Keywords:

cam mechanisms, higher kinematic pair, mechanical coupling equation, coordinate transformations, synthesis

Abstract

The method of applying the equation of the geometric connection of links in the highest kinematic pair of the cam mechanism for the complete synthesis of the mechanism is considered. A distinctive feature of the method is that the equation of the geometric connection and the equation of the envelope are written in the Cartesian coordinate system. The envelope equation is derived from the coupling equation. All transformations and solutions of the original coupling equation and the envelope equation are carried out by the matrix method in the Cartesian coordinate system, without switching to other coordinate systems and to graphical methods or their interpretation. It is shown that this approach allows us to immediately obtain the coordinates of the points of the working profiles of the cam and the theoretical profile of the cam on the basis of a single mathematical model. The known calculated dependences of the parameters of cam mechanisms are also obtained on the basis of a single mathematical model, in contrast to the existing methods, which use different mathematical models to solve the problems of synthesis of cam mechanisms. The proposed method simplifies the algorithm for solving the problem and its software implementation. The software created on the basis of the developed methodology was tested. The peculiarity of the technique is the use of uniform standard coordinate transformations to solve a system of equations describing the theoretical and working profiles of the cam. This ensures that the calculations are simple and unambiguous. The correctness of the methodology is verified by testing the corresponding software in the Math Cad package. The universality of the basic provisions of the proposed approach allows us to apply the developed methodology for the synthesis of any type of flat cam mechanisms. The test results suggest that the method is correct and has prospects for development.

Author Biography

N. N. Krokhmal, Kurgan State University

PhD in Engineering, Associate Professor

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