Self-synchronized Controlled Vibration Drive with Automated Oscillation Parameters Monitoring System for High-Tech Equipment

Сергеев, С. В.; Sergeev, Yu. S.; Kononistov, A. V.

doi:10.1007/978-3-319-95630-5_40

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2021

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“…3. The study should be a basis for continuing the task by preparing a real pendulum and conducting of experimental researches, [16,17,18,19,20].…”

Section: Introductionmentioning

confidence: 99%

Nonlinear oscillations of a pendulum wrapped around a cylinder

Ivanov¹

2021

IMK-14 Istraživanje i razvoj

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The large oscillations of a pendulum are studied. The pendulum is a material point that is suspended on an elastic cord with nonlinear characteristics. The mass of the cord is accepted. It is wrapped around a perfectly rigid and fixed cylinder. The system has two degrees of freedom. Nonlinearity is due to a geometric and physical nature. A system of two differential nonlinear equations is derived. A numerical solution was performed with the mathematical package MATLAB. The laws of motion, the generalized velocities and accelerations and the phase trajectories are obtained. In order to continue the task by preparing an actual model and conducting experimental research, the projections of the velocity and acceleration of the material point along the horizontal and vertical axes, as well as their magnitudes, are determined. The obtained results are presented graphically and analysed in detail.

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“…3. The study should be a basis for continuing the task by preparing a real pendulum and conducting of experimental researches, [16,17,18,19,20].…”

Section: Introductionmentioning

confidence: 99%