On the Authors’ Mathematical Model of the Chelomey’s Pendulum

Abstract

Chelomey's pendulum is the Chelomey named pendulum found experimentally by academician V.N. Chelomey in 1983. His son Professor S.V. Chelomey was studying the system after V.N. Chelomey death (1984). Professor S.V. Chelomey published three works on the Chelomey's pendulum, where equations of the pendulum motion from the V.N. Chelomey publications were used. It was believed that the given motion equations were adequate to the objects motion in experimental research by Academician V.N. Chelomey, i.e., the pendulum demonstrators. It referred primarily to analyzing the computation results obtained using the authors’ pendulum mathematical model with the given pendulum and excitation parameters. The paper identifies dynamics and stability of the Chelomey's pendulum motion with six specific parameter options. Results were obtained differing qualitatively from those published. It was noted that the system and the excitation parameters were distorted during publication. True values of parameters obtained by S.V. Chelomey were restored and are presented for the first time. The paper shows that the slider relative equilibrium position on the rodis really possible, as was found in the author's Chelomey's model. Physical mechanism, not described in literature, is presented. It ensures the slider rise along the rod and its "hanging" in the author's mathematical model of the Chelomey's pendulum. Reliability of the conclusions was confirmed by results in computation and set-up experiments with the original oscillation exciter

Please cite this article in English as:

Gribkov V.A., Gordin Ya.D. On the authors' mathematical model of the Chelomey's pendulum. Herald of the Bauman Moscow State Technical University, Series Mechanical Engineering, 2024, no. 2 (149), pp. 42--62 (in Russ.). EDN: KPWTLD

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