The influence of dry anisotropic friction of the first kind on the kinematic characteristics of a capsule with an unbalanced vibration drive

Keywords

solid body, speed of movement, imbalanced rotor, dynamic diagram, mathematical model, Lagrange’s second kind equations.

Cite as

Korendiy V. M., Trush V. S., Parashchyn O. Ya., Stotsko R. Z., Trush K. V., Predko R. Ya., and Luk’yanenko A. G. The influence of dry anisotropic friction of the first kind on the kinematic characteristics of a capsule with an unbalanced vibration drive. Physicochemical Mechanics of Materials. 2025. 61(3), 027-034.

https://doi.org/10.15407/pcmm2025.03.027

Abstract

The dynamics of a solid body (capsule) set in motion by an unbalance rotating in the plane of the body movement is considered. A simplified dynamic scheme is developed and analytical dependences are given to describe the forces of dry anisotropic friction of the first kind which arise during the movement of the studied capsule. Differential equations describing the motion of the system are derived and numerically solved using the Wolfram Mathematica software product. The kinematic characteristics of a capsule with a rigid shell are established, in particular, its instantaneous speed of movement along a rough support surface.

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