ANALYSIS OF THE VIBRATIONS OF A BEAM WITH A MOVING HYSTERETIC ELASTIC DISSIPATIVE DYNAMIC ABSORBER

Authors

  • Z.S.Yuldosheva Author

Keywords:

beam, dynamic absorber, vibrations, transfer function, kinematic and random excitations.

Abstract

In this work, the determination of analytical expression of the transfer function in the vibrations of a beam with elastic dissipative characteristic of hysteresis type combined with a moving linear elastic dynamic damper is studied. In this case, properties of the material of the beam are the elastic dissipative characteristics of hysteresis type. Expressions of linearization coefficients determined by the method of harmonic linearization for kinematic excitations, and method of statistical linearization for random excitations were applied. Initially, the system of differential equations of transversal vibration of the beam which is protected from vibrations was determined. Based on the condition of orthogonality, the system of differential equations of transversal vibration is written in a simpler forms and by using the differential operator it is reduced to a system of algebraic equations.

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References

1. Abdullayev, M. T. (2018). Theoretical and practical foundations of the theory of vibrations. Tashkent: Fan Publishing House.

2. Karimov, R. S. (2020). Mechanical vibrations and methods of their damping. Tashkent: Publishing House of the National University of Uzbekistan.

3. Kholmatov, A. J. (2019). Dynamics and stability of structures. Tashkent: TDTU.

4. Tursunov, O. B. (2021). Analysis of vibrations in elastic systems. Samarkand: Publishing House of SamDTU.

5. Urozboev, B. A. (2017). Fundamentals of mechanics and acoustics. Fergana: FPI Publishing House.

6. Rashidov, S. R. (2018). Models of energy dissipation in vibration systems. Tashkent: Center for Innovative Development.

7. Yuldashev, N. H. (2022). Analysis of vibrations in solids and beams. Tashkent: TMI Publishing House.

8. Mahkamov, U. A. (2020). Modern approaches to preventing structural vibrations. Andijan: AndMI Publishing House.

9. Tashkent State Technical University. (2021). Collection of scientific articles on the theory of vibrations. Tashkent.

10. Mamatkulov, B. K. (2019). Theoretical foundations of the mechanics of hysteretic systems. Bukhara: BukSTU Publishing House.

11. Rakhmatov, K. T. (2016). Vibration control and damping technologies. Tashkent: TTJU.

12. Sultanov, D. I. (2023). Vibration resistance of structural elements. Navoi: NKMK Scientific and Technical Center.

13. Ibrohimov, Z. A. (2018). Vibration models in dynamics and automatic control systems. Tashkent: Technika.

14. Tashkent Institute of Architecture and Construction. (2020). Materials of a practical seminar on vibration problems. Tashkent.

15. Normurodov, F. E. (2022). Analysis of dissipative systems in vibration physics. Nukus: Karakalpak State University.

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Published

2025-06-30

Issue

Section

Technical Sciences

How to Cite

ANALYSIS OF THE VIBRATIONS OF A BEAM WITH A MOVING HYSTERETIC ELASTIC DISSIPATIVE DYNAMIC ABSORBER. (2025). Innovations in Science and Technologies, 2(6), 430-439. https://innoist.uz/index.php/ist/article/view/1105

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