Periodic Modes of Spatial Oscillations of a Vibration-Proof Body on Three Rolling-Contact Bearings with Expanded Surfaces in Non-resonance Conditions

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Proceedings of 14th International Conference on Electromechanics and Robotics “Zavalishin's Readings”

Part of the book series: Smart Innovation, Systems and Technologies ((SIST,volume 154))

Abstract

Nonlinear spatial oscillations of vibration protection systems on three rolling-contact bearings limited by high-order revolution surfaces in non-resonance conditions are investigated in this paper. The results of the evaluation of the influence of the rolling friction of relaxing ground on the effectiveness of vibration protection by rolling-contact bearings, which are geometric bodies, limited by two high-order surfaces, are contained. In order to study the spatial oscillations of a vibration-proof object on rolling-contact bearings with expanded surfaces, methods for solving a set of nonlinear ordinary differential equations are developed. Based on the results of studies of spatial oscillations of a vibration-proof object on rolling-contact bearings with expanded surfaces, the following conditions for the appearance of rotary oscillations are established: 1. An increase in the difference in the rolling friction coefficients, as could be expected, leads to an increase in the angular displacements of a vibration isolation body; 2. an effect of energy transfer from one direction to another is intensified with increasing of rolling friction. The results obtained in the course of numerical experiments indicate a weak interconnectivity of both translational and rotational motions of the system under consideration.

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Correspondence to Kuatbay Bissembayev .

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Bissembayev, K., Dikambay, T. (2020). Periodic Modes of Spatial Oscillations of a Vibration-Proof Body on Three Rolling-Contact Bearings with Expanded Surfaces in Non-resonance Conditions. In: Ronzhin, A., Shishlakov, V. (eds) Proceedings of 14th International Conference on Electromechanics and Robotics “Zavalishin's Readings”. Smart Innovation, Systems and Technologies, vol 154. Springer, Singapore. https://doi.org/10.1007/978-981-13-9267-2_64

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