The effect of torsional rigidity between elements on free vibrations of a telescopic hydraulic cylinder subjected to Euler’s load

• Autorzy: Uzny S. , Kutrowski Ł.

Identyfikatory

DOI

10.17512/jamcm.2017.3.11

• Języki publikacji: EN

Abstrakty

EN

The boundary problem of free vibrations of a hydraulic telescopic cylinder, subjected to Euler’s load was presented in this work. The task was formulated on the basis of the Hamilton’s principle. The computational model, formulated by Tomski, was taken into account during analysis. Numerical calculations concern free vibrations of multi-stage hydraulic telescopic cylinder. Results were presented in the form of characteristic curves on the plane: external load-natural vibration frequency. Non-dimensional parameters of the structure were defined in reference to the characteristic parameters of the piston rod. During numerical simulations, an influence of a non-dimensional stiffness parameter between following elements on free vibrations of a hydraulic telescopic cylinder was determined for a different number of cylinder stages.

Słowa kluczowe

EN

free vibrations; hydraulic telescopic cylinder; slender system

PL

drgania swobodne; siłowniki hydrauliczne tłokowe; obciążenie Eulera

• Wydawca: Wydawnictwo Politechniki Częstochowskiej
• Czasopismo: Journal of Applied Mathematics and Computational Mechanics
• Rocznik: 2017
• Tom: Vol. 16, nr 3
• Strony: 117--122
• Opis fizyczny: Bibliogr. 6 poz., rys.

Twórcy

autor

Uzny S.

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

autor

Kutrowski Ł.

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

Bibliografia

• [1] Tomski L., Elastic carrying capacity of a hydraulic prop, Engineering Transactions 1977, 25(2), 247-263.
• [2] Tomski L., Dynamika stojaków hydraulicznych obudów górniczych, Praca habilitacyjna, Nr 17, Częstochowa 1979.
• [3] Sochacki W., Tomski L., Free vibration and dynamic stability of a hydraulic cylinder set, Machine Dynamics Problems 1999, 23(4), 91-104.
• [4] Tomski L., Elastic stability of hydraulic props of longwall supports, Archives of Minning Science 1978, 23(3), 217-231.
• [5] Tomski L., Uzny S., A Hydraulic cylinder subjected to euler's load in aspect of the stability and free vibrations taking into account discrete elastic elements, Archives of Civil and Mechanical Engineering 2011, 11, 3, pp. 769-785.
• [6] Uzny S., Free vibrations and stability of hydraulic cylinder fixed elastically on both ends, Proc. Appl. Math. Mech. 2009, 9, 303-304.

Uwagi

Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę (zadania 2017).