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JOURNALS // Journal of Computational and Engineering Mathematics // Archive

J. Comp. Eng. Math., 2025 Volume 12, Issue 4, Pages 47–52 (Mi jcem294)

Engineering Mathematics

Synthesis of a dynamic clutch with a linear characteristic

E. A. Herreinstein, M. G. Novik

South Ural State University, Chelyabinsk, Russian Federation

Abstract: This paper examines the synthesis of mechanisms based on given characteristics. It introduces definitions of dynamic clutches and their characteristics and exemplifies the synthesis of mechanisms with the necessary characteristics for practical use in dynamic clutch modes. The first example demonstrates the synthesis of a mechanism based on a given function and the implementation process presenting a diagram of the mechanism, the condition for its transition to the dynamic clutch mode, and its stability region. The second example considers the synthesis of a mechanism with a periodic coefficient. The paper presents the conditions that ensure the maximum simplicity and clarity in the analysis of the vibrations of mechanisms in the dynamic clutch mode, as well as the conditions that ensure a positive torque and stability in this mode. Cartesian coordinates of all clutch parts at the initial moment of time are also obtained. Each example introduces a system of constraints, assumptions, and clarifications that allow for the recording of various aspects of the considered subject and for the practical implementation of mechanisms.

Keywords: inertial mechanism, system of material points, moment of inertia, motion of a rigid body.

UDC: 531.31 + 510(022)

MSC: 91B84

Received: 21.11.2025

Language: English

DOI: 10.14529/jcem250406



© Steklov Math. Inst. of RAS, 2026