Universal Journal of Mechanical Engineering Vol. 3(2), pp. 27 - 33
DOI: 10.13189/ujme.2015.030201
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Dynamics of Transversely Vibrating Pipes under Non-classical Boundary Conditions

Begüm Y. Dağlı ^*, B. Gültekin Sınır
Department of Civil Engineering, Celal Bayar University, Turkey

ABSTRACT

The transverse of free vibration of pipes conveying fluid has been examined by using Euler-Bernoulli beam theory to show the effect of varied boundary conditions on pipes dynamic behaviors. The equation of motion of the pipe conveying fluid is obtained with a new approach with the assumptions of ideal fluid, which moves in the vertical direction with pipe and the pipe makes small oscillations, by Hamilton’s variation principle. The flow in the pipe was modeled by considering well-known Euler equation. The dimensionless equations are solved for two different set of non-classical boundary conditions. The natural frequency equations and the critical flow velocity equations are obtained and the relation between the mass ratio and vibration frequency is examined by solving the differential equations. The values of natural frequencies caused by the fluid velocity are presented graphically.

KEYWORDS
Pipes Conveying Fluid, Natural Frequency, Non-classical Boundary Conditions

Cite This Paper in IEEE or APA Citation Styles
(a). IEEE Format:
[1] Begüm Y. Dağlı , B. Gültekin Sınır , "Dynamics of Transversely Vibrating Pipes under Non-classical Boundary Conditions," Universal Journal of Mechanical Engineering, Vol. 3, No. 2, pp. 27 - 33, 2015. DOI: 10.13189/ujme.2015.030201.

(b). APA Format:
Begüm Y. Dağlı , B. Gültekin Sınır (2015). Dynamics of Transversely Vibrating Pipes under Non-classical Boundary Conditions. Universal Journal of Mechanical Engineering, 3(2), 27 - 33. DOI: 10.13189/ujme.2015.030201.