New Results of an Analytical Study of Self-Aligning Articulated Hinge-Lever Pendulum Mechanisms


Nauryzbaev R. Nabiollina M. Toilybayev M. Sansyzbayev K. Zhaparkulova Y. Kaliyeva K.
2023International Hellenic University - School of Science

Journal of Engineering Science and Technology Review
2023#16Issue 1197 - 203 pp.

The equation of motion of the mechanism with (n+n1) moving links, the equation of motion of the drive link is obtained. An exact analytical solution of a nonlinear differential equation is found. Based on the formula of the modern theory of mechanisms, a mathematical model of the structures of the self-aligning mechanism of the physical pendulum is determined. The parameters and the main operating modes of rational design, and the regular design of the pendulum-type mechanism are established. An innovative (unified) method of analytical research of the main object has been created. Based on this research method, structural geometric, kinematic general models of self-aligning flat two-link, three-link, four-link, fivelink articulated lever mechanisms of the physical pendulum have been developed. The oscillations of the leading link of the physical pendulum mechanism are investigated based on their specific mathematical models. A flat, complex, closed kinematic chain of six (n+n1) = six moving links and two closed loops (A and B) is investigated separately. A structural, geometric, kinematic general model of a self-adjusting, flat, six-linked hinged-lever physical pendulum mechanism is developed and a non-linear differential equation of motion is derived. The parameters and basic modes of operation of rational design and regular design are established. A comprehensive, unified and consistent method of research of a selfaligned, six-linked flat articulated lever mechanism of the physical pendulum II second class, third family from structure to dynamic synthesis is established

Degrees of Freedom , Pendulum Mechanisms , Physical Pendulum , Single-Mass Dynamic Model , Swing Mode

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Department of IT technologies, Automation and Mechanization of the Agro-industrial Complex, Kazakh National Agrarian University, Kazakhstan
Department of Water, Land and Forest Resources and Resources, Kazakh National Agrarian University, Kazakhstan

Department of IT technologies
Department of Water

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