TO ESTIMATE THE NON-RIGIDITY OF BEARING SUPPORTS OVER THE WIDTH OF THE UNSTABLE ZONE OF A NONLINEAR SYSTEM

Array

Authors

  • V. Lus’ O.M. Beketov National University of Urban Economy in Kharkov

Keywords:

construction, dynamic response, dynamic parameters, vibrational excitation, structural model, instability zone, frequency and amplitude of vibrations, nonlinear system, elastic characteristic, non-uniformity, sensitivity of dy-namic parameters, operational method, energy equalization

Abstract

In this paper, questions are investigated the influence of non-ideal elasticity and non-rigidity of support bearings on the dynamic response of an object under external vibration excitation is investigated.

A method based on the sensitivity of the instability zone width of a nonlinear system in relation to the elastic characteristic of supports is proposed to estimate the non-rigidity of bearings.

For this range of specific problems, we consider an operational method for estimating the width of the instability zone by linearization of nonlinear equations based on energy equivalence.

The main purpose of this work is to investigate the influence of non-ideal elasticity and non-elastic support bearings on the dynamic response of the object under external vibration excitation, to determine the evaluation of non-ideal bearings. for this purpose, a sufficiently effective method based on the sensitivity of the instability zone width of a nonlinear system in relation to the elastic characteristics of the supports is proposed, for this range of specific problems, we consider an operational method for estimating the width of the instability zone by linearization of nonlinear equations based on energy equivalence.

Conclusions and suggestions. Thus, these dependences allow us to assess the degree of non-linearity of the elastic characteristic and, as a result, the non-rigidity of the bearing supports based on the results of vibration studies. In field tests, the width of the instability zone can be determined by an automatic forward and reverse frequency scanning system at a fixed overload level.

Author Biography

V. Lus’, O.M. Beketov National University of Urban Economy in Kharkov

Ph.D., Assistant Professor, Professor of Department

References

1. Lus’, V.I. (2019) To determine the state of complex contact connections of precision rotary systems. Scientific and technical collection. Municipal economy of cities. Series. Engineering and Architecture, 149, 29 – 34.
2. Biderman, V. L. (1972) Applied theory of mechanical vi-brations. Moscow: Higher school, 416.
3. Dzhashitov, V. E., Pankratov, V. M. & Golikov, A.V. (2010) General and applied gyroscope theory with the use of computer technologies. Under the General editorship of the RAS academician Peshekhonov, V. G. Saint Petersburg: SSC RF JSC "Concern" Central research Institute "Electropribor", 154.
4. Barulina, M. A.(2015) The frequency equation and natural frequencies of the vibrating elements of micromechanical gyro-scopes based on the shift theory of Timoshenko. Nano - and Microsystem technology, 4, 21-31.
5. Barulina, M. A.(2015) Construction of the mass matrix of a three-dimensional finite element for modeling the dynamics of micromechanical inertial information sensors and their nodes. Mechatronics. Automation. Management, 16, 5, 352-360.

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Published

2020-07-01

How to Cite

Lus’, V. . (2020). TO ESTIMATE THE NON-RIGIDITY OF BEARING SUPPORTS OVER THE WIDTH OF THE UNSTABLE ZONE OF A NONLINEAR SYSTEM: Array. Municipal Economy of Cities, 3(156), 111–115. Retrieved from https://khg.kname.edu.ua/index.php/khg/article/view/5607

Issue

Vol. 3 No. 156 (2020): Series: Engineering science and architecture

Section

статьи

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