Nonlinear component of free vibration frequency of a partially tensioned system with consideration of rotational stiffness of support

• Autorzy: Uzny Sebastian , Osadnik Michał

Identyfikatory

DOI

10.17512/jamcm.2019.3.08

• Języki publikacji: EN

Abstrakty

EN

The nonlinear vibrations of a slender system subjected to Euler’s load which is partially tensioned is discussed in this paper. The longitudinal displacement and rotation on both of the system ends are limited by the discrete elements in the form of translational and rotational springs. The results of numerical simulations concern the first vibration frequency (linear and non-linear components) in relation to the location and magnitude of external load application and different rotational spring stiffness. This nonlinear system is based on the screw drive used in the newly designed vertical platform lifts.

Słowa kluczowe

EN

slender nonlinear systems; amplitude of vibrations; Euler’s load

PL

układ smukły; amplituda wibracji; obciążenie Eulera

• Wydawca: Wydawnictwo Politechniki Częstochowskiej
• Czasopismo: Journal of Applied Mathematics and Computational Mechanics
• Rocznik: 2019
• Tom: Vol. 18, nr 3
• Strony: 89--96
• Opis fizyczny: Bibliogr. 11 poz., rys.

Twórcy

autor

Uzny Sebastian

• Institute of Mechanics and Machine Design Fundamentals, Czestochowa University of Technology Częstochowa, Poland

autor

Osadnik Michał

• Institute of Mechanics and Machine Design Fundamentals, Czestochowa University of Technology Częstochowa, Poland

Bibliografia

• [1] Awrejcewicz, J., Saltykova, O.A., Chebotyrevskiy, Yu.B., & Krysko, V.A. (2011). Nonlinear vibrations of the Euler-Bernoulli beam subjected to transversal load and impact actions. Nonlinear Studies, 18(3), 329-364.
• [2] Sundararajan, C. (1976). Influence of an elastic end support on the vibration and stability of Beck’s column. International Journal of Mechanical Sciences, 18, 239-241.
• [3] Przybylski, J., & Tomski, L. (1992). Vibration of an Initially Prestressed Compound Column under Axial Compression. Elsevier Science Publishers B.V., 263-268.
• [4] Jiang, L.Y., & Yan, Z. (2010). Timoshenko beam model for static bending of nanowires with surface effects. Physica E, 42, 2274-2279.
• [5] Abramovich, H., & Hamburger, O. (1991). Vibration of a cantilever Timoshenko beam with a tip mass. Journal of Sound and Vibration, 148(1), 162-170.
• [6] Nemat-Nasser, S. (1967). Instability of a cantilever under a follower force according to Timoshenko beam theory. Journal of Applied Mechanics, 484-485.
• [7] Uzny, S., Sokół, K., Osadnik, M. (2016). Free vibrations of the partially tensioned geometrically non-linear system subjected to Euler’s load. Vibrations in Physical Systems, 27, 399-406.
• [8] Uzny, S., & Osadnik, M. (2017). Influence of longitudinal elastic support on stability of a partially tensioned column. Book Series: Engineering Mechanics, 1006-1009.
• [9] Uzny, S., & Osadnik, M. (2017). Influence of the longitudinal spring element on free vibrations of the partially tensioned column. Procedia Engineering, 17, 135-140.
• [10] Uzny, S., Sokół, K., & Osadnik, M. (2016). Influence of amplitude on free vibration frequency of a partially tensioned column. Book Series: Engineering Mechanics, 562-565.
• [11] Uzny, S., & Osadnik M. (2018). Influence of rotational stiffness of support of a partially tensioned column on its free vibrations. Book Series: Engineering Mechanics, 889-992.

Uwagi

Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2019).