THE PROBLEM OF OPTIMIZING THE PARAMETERS OF A BEAM AND A MOBILE DYNAMIC ABSORBER IN THE COMBINED VIBRATIONS
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.
Downloads
References
1. Abdullayev, T. M. (2019). Theory of mechanical vibrations. Tashkent: Science and Technology Publishing House.
2. Ergashev, D. R. (2020). Methods of energy dissipation in vibrating systems. Tashkent: National University of Uzbekistan Publishing House.
3. Rakhimov, B. S. (2018). Modern methods of reducing vibrations in mechanical engineering. Andijan: Technika Publishing House.
4. Kholikov, U. R. (2017). Control of resonance phenomena in structures. Samarkand: SamDU Publishing House.
5. Qodirov, A. A. (2021). Modeling and control of vibrations in dynamic systems. Tashkent: TTJU.
6. Abdurahmonov, O. A. (2022). Design of movable dynamic dampers and their optimality. Fergana: Technical University Publishing House.
7. Tokhtasinov, M. M. (2019). Fundamentals of the theory of vibrations. Tashkent: Economics-Finance Publishing House.
8. Sodiqov, I. B. (2016). The movement of beams under unbalanced loads. Bukhara: Technology Publishing House.
9. Ministry of Innovative Development of the Republic of Uzbekistan. (2020). Vibration reduction technologies in mechanical systems. Tashkent.
10. Karimov, R. N. (2023). Intellectual vibration dampers and their practical application. Namangan: Namangan branch of TATU.
11. Tashkent State Technical University. (2018). Collection of scientific articles on the study of vibrations and acoustic noise. Tashkent.
12. Nurmatov, A. T. (2020). Issues of vibration control in transport systems. Navoi: NKMU.
13. Azizov, K. Y. (2021). Constructive solutions for reducing vibrations. Karshi: Technical Institute Publishing House.
14. Umarov, Sh. D. (2017). Optimization methods for vibration dampers. Tashkent: TTJU.
15. Sattorov, E. F. (2023). Algorithms for determining vibration parameters in dynamic systems. Urgench: Urgench State University.
Downloads
Published
Issue
Section
License
This work is licensed under a Creative Commons Attribution 4.0 International License.
License Terms of our Journal
