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ANALYSIS OF THE DYNAMICS OF RANDOM VIBRATIONS OF A BEAM WITH HYSTERESIS-TYPE DISSIPATIVE CHARACTERISTICS

Authors

Kasimova F.U.

Rubric:Machinery construction
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Annotation

This work deals with the analysis of nonlinear transverse vibrations of a beam with a hysteresis-type dissipative characteristic, whose cross-section changes under the influence of random excitations, using the mean square values. The dissipative properties of the beam material are of the hysteresis type and are taken into account in the equation, expressed by a linear complex function using the statistical linearization method. The dynamic characteristics of the beam displacements are analyzed using the analytical expression of the mean square values.

Keywords

beam
hysteresis
dissipative
oscillation
random excitation
root mean square value
frequency.
amplitude

References:

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Zolkiewski S. (2013) Vibrations of beams with a variable cross-section fixed on rotational rigid disks Latin American Journal of Solids and Structures, 10, 39 – 57.

Mironov M.A. (2017) Exact solutions of the equation of transverse vibrations of a rod with a special law of change of the cross-section Acoustic journal, 2 vol. 63 № 1, pp. 3-8.

Zhakash A.T., Dzhakashova E.A., Tursynbay O.M. (2019) Numerical methods for calculating vibrations of straight beams of variable cross-section international scientific journal theoretical & applied science Year, Issue: 07, Volume: 75

Nemirovsky Yu.V., Mishchenko A.V. (2015) Dynamic analysis of composite beams with variable cross-section Computational Continuous Mechanics. – Vol. 8, No. 2. – P. 188-199.

Kulterbaev, H. P., Payzulaev, M. M. (2023) Stability of a compressed-tensioned beam of variable cross-section with combined loading Herald of Dagestan State Technical University. Technical Sciences, vol. 50, issue 4, pp. 191-196.

Baragunova L. A., Shogenova M. M., Shogenov O. M., Yafaunov E. A. (2024) Free vibrations of beams of variable cross-section taking into account rotational forces and friction forces https://doi.org/10.37538/2224-9494-2024-1(40)-7-20.

Dusmatov O.M., Kasimova F.U (2024) Ko’ndalang kesimi o’zgaruvchan elastik sterjenning chiziqlimas tasodifiy tebranishlari. “Buxoro davlat universiteti ilmiy axboroti” ilmiy jurnal 12-son.

Pavlovsky M.A., Ryzhkov L.M., Yakovenko V.B., Dusmatov O.M. (1997) Nonlinear problems of vibration protection system dynamics. – K.: Tekhnika, – p. 204.

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