Change in the dynamic properties of a column as a result of a variable distribution of bending stiffness - numerical and experimental research

• Autorzy: Szmidla Janusz , Jurczyńska Anna

Identyfikatory

DOI

10.21008/j.0860-6897.2024.3.09

• Języki publikacji: EN

Abstrakty

EN

The subject of the work is the transverse vibrations of a bar system with a variable cross-section subjected to the follower force directed towards a pole. The issue was formulated on the basis of Bernoulli-Euler’s theory. The solution of the equations of motion substituted for the boundary conditions made it possible to develop a computational algorithm for the frequency of vibrations of the system, taking into account variable stiffness, assuming a constant total volume. On the basis of the obtained results, the relationship between the column stiffness distribution and the eigenvalues of the system was determined. The correctness of the obtained results was verified for selected column outlines, indicating the sources of discrepancies. It was shown that by appropriate shaping of the bar it is possible to control its dynamic properties.

Słowa kluczowe

EN

specific load; free vibrations; non-prismatic; experimental research

PL

obciążenie właściwe; drgania własne; badania eksperymentalne

• Wydawca: Poznan University of Technology. Institute of Applied Mechanics
• Czasopismo: Vibrations in Physical Systems
• Rocznik: 2024
• Tom: Vol. 35, nr 3
• Strony: art. no. 2024309
• Opis fizyczny: Bibliogr. 13 poz., 1 fot. kolor., rys., wykr.

Twórcy

autor

Szmidla Janusz

• Częstochowa University of Technology, Częstochowa, Dąbrowskiego 73

• https://orcid.org/0000-0002-7475-7925

autor

Jurczyńska Anna

• Częstochowa University of Technology, Częstochowa, Dąbrowskiego 73

• https://orcid.org/0000-0002-8505-3157

Bibliografia

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• 8. A. Deepak Kumar, B. Panigrahi; A parametric study on influence of slenderness ratio on the nonlinear dynamic behaviour of rotating tapered beams; Materials Today: Proc., 2023; DOI: 10.1016/j.matpr.2023.05.586
• 9. X. Liu, L. Chang, J. R. Banerjee, H.-C. Dan; Closed-form dynamic stiffness formulation for exact modal analysis of tapered and functionally graded beams and their assemblies; Int. J. Mech. Sci., 2022, 214, 106887; DOI: 10.1016/j.ijmecsci.2021.106887
• 10. S.N. Chockalingam, V. Pandurangan, M. Nithyadhara; Timoshenko beam formulation for in-plane behaviour of tapered monosymmetric I-beams: Analytical solution and exact stiffness matrix; Thin-Walled Struct., 2021, 162, 107604; DOI: 10.1016/j.tws.2021.107604
• 11. J. Szmidla, A. Jurczyńska; Shape optimization of a column modelling the bridge span under a specific load - numerical and experimental studies; Commun. - Sci. Lett. Univ. Źilina, 2023; 25 (3), B228-B244; DOI: 10.26552/com.C.2023.059
• 12. J. Szmidla, A. Jurczyńska; Free vibrations of the slender nonprismatic column under the passsive and active follower force directed towards the positive pole; Engineering Mechanics 2018, 24th International Conference, 14-17 May 2018, Svratka, Czech Republic, Book of full texts, 845-848; DOI: 10.21495/91-8-845
• 13. J. Szmidla, A. Jurczyńska; Local loss of a rectilinear form of a static equilibrium of geometrically nonlinear system with non-prismatic element under force directed towards the pole; Acta Physica Pol. A, 2020; 138(2), 140-143; DOI: 12.693/ApsyhPolA.138.140