Formation surfaces of Monge by the kinematic method in AutoCAD environment

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Abstract


Aims of research. Studying the possibility of forming Monge carved surfaces, defined by the method of their formation, creating an algorithm and program in the AutoLISP language to demonstrate the formation of surfaces in the AutoCAD environment in a dynamic mode. Methods. Monge carved surfaces are formed by a flat curve, located in the tangent plane to the fixed guide of the developable surface, when the plane and the curve roll along the guide surface without sliding. The described method of formation of these surfaces allows to perform their formation by the kinematic method in the AutoCAD environment using AutoLISP software. The article describes the construction of the Monge surfaces using cylindrical and conical surfaces as guides. A straight line and a sine wave are used as the forming lines. Results. An algorithm and a program in the AutoLISP language were created to form sets of compartments of several Monge surfaces and to visualize the formation of these surfaces in a dynamic mode by sequentially displaying the compartments on the monitor screen. The mini-film about formation of Monge surface by rolling a plane with a straight line along a circular cone is created. In the mini-film the drawings received by transformation of drawings of the AutoCAD environment are used.


About the authors

Viktoryna A Romanova

People’s Friendship University of Russia (RUDN University)

Author for correspondence.
Email: v.a.r-victoryna@mail.ru
6 Miklukho-Maklaya St., Moscow, 117198, Russian Federation

Associate Professor, Peoples' Friendship University of Russia (RUDN University). Research interests: visualization of the design of mechanisms and the formation of analytical surfaces in the AutoCAD environment using programs in the language AutoLISP

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