Scientific paper ID 847 : 2013/3
APPLICATION OF FLOQUET THEORY FOR DETERMINING CRITICAL VELOCITY OF A PULSATILE FLUID FLOWING THROUGH A STRAIGHT PIPE

Dimitar Lolov

In this paper the critical velocity of a pulsatile fluid flowing through a straight pipe is determined. The static scheme of the pipe is a continuous beam with two spans and on hinge supports at the ends. The fluid velocity is a harmonic function of time. The harmonic change of the fluid velocity allows the Floquet theory to be used in order to investigate the dynamic stability of the system.


устойчивост критична скорост пулсиращ флуид тръбаstability critical velocity pulsatile fluid pipeDimitar Lolov

BIBLIOGRAPHY

[1] Jeong W., Soo Y., Jeong S.,Lee S., Yoo W. Stability Analysis of a pipe conveying periodically pulsating fluid using finite element method. “JSME International Journal”, vol.49, 2006, pp. 1116-1122

[2] Wu J., Shih P. The dynamic analysis of a multispan fluid-conveying pipe subjected to external load, “Journal of Sound nad Vibration”, vol.239, 2001, pp. 201-215

[3] Floquet G. Equations differentielles lineaires a coefficients périodiques, Annale scientifiques de l’E.N.S., 2e serie, tome 12, 1883, pp. 47-89

[4] Chicone C. Ordinary Differential Equations with applications Springer Science+ Business, 1999

[5] Inspeger Т., Horvath R. Pendulum with harmonic variation of the suspension point, “Periodica Polytechnica”, vol. 44, Budapest, 2000, pp. 39-46

 

 

 

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