Dimitar Lolov, Svetlana Lilkova-Markova

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In the paper is investigated the effect of temperature load and crack position on the dynamic stability of a cracked straight pipe conveying fluid. The static scheme of the investigated pipe is a beam with restricted horizontal and vertical displacements at both of its ends. The velocity of the transported fluid is constant. The Galerkin method is applied for the solution of the differential equation of the transverse vibrations of the pipe. The differential equation is reduced to a first-order differential equation system. The system of differential equations is transformed and rewritten in a matrix form. The roots of the characteristic equation of the system are obtained by solving the generalized first order eigenvalue problem. A numerical solution for a cracked pipe conveying fluid with specified geometric and physical characteristics has been carried out. The temperature load, the position of the crack and the critical velocity of the fluid are considered as parameters of the problem. The results show that the temperature load and the crack position affect the vibrational characteristics of the pipe, as well as its critical velocity.


pipe, fluid, dynamic stability, crack, critical velocity

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Paidoussis, М., 1998, Fluid-Structure Interactions: Slender Structures and Axial Flow, Book, Academic Press, Great Britan.

Paidoussis, М., Issid, N., 1974, Dynamic stability of pipes conveying fluid, Journal of Sound and Vibration., 33(3), pp. 267-284.

Huang, Q., Lin,T., Safarpour, M., 2020, Flow-induced vibration attenuation of a viscoelastic pipe conveying fluid under sinusoidal flow, using a nonlinear absorber, Mechanics Based design of Structures and Machines, 50, pp. 1673-1703.

Liang, F., Gao, A., Yang, X.D., 2020, Dynamical analysis of spinning functionally graded pipes conveying fluid with multiple spans, Applied Mathematical Modeling, 83, pp. 454-469,

Askarian, A.R., Permoon, X.D., Shakouri, M., 2020, Vibration analysis of pipes conveying fluid resting on a fractional Kelvin-Voigt viscoelastic foundation with general boundary conditions, International Journal of Mechanical Sciences, 179, pp. 105702.

Cao, J., Liu, Y., Liu, W., 2018, The effect of two cases of temperature distributions on vibration of fluid-conveying functionally graded thin-walled pipes, Journal of Strain Analysis, 53(5), pp. 324-331.

Ameen, K.A., Al-Dulaimi, M.J., Hatem, A.A., 2019, Experimental study of vibration on pipe conveying fluid at different end conditions for different fluid temperatures, Engineering and Technology Journal, 37, pp. 512-515.

Li, B., Wang, L., Jing, L., 2018, Dynamic response of pipe conveying fluid with lateral moving supports, Shock and Vibration, 2018, pp. 1-17.

Zhang, Y.-W., She, G.-I., 2022, Wave propagation and vibration of FG pipes conveying hot fluid, Steel and Composite Structure, 42(3), pp. 397-405.

Zhou K., Ni Q., Chen W., Dai H., Peng Z. Wang L., 2021, New insight into the stability and dynamics of fluid-conveying supported pipes with small geometric imperfection, Applied Mathematics and Mechanics, 42(5), pp. 703-720.

Mohmmed, J., Tawfik, M., Atiyah, Q., 2022, The Combining Effect of Inclination Angle, Aspect Ratio and Thermal Loading on the Dynamic Response of Clamped-Clamped Pipe Conveying Fluid, Engineering and Technology Journal, 40(1), pp. 40-48.

Je J.H., Lee H.S., Kim D.J., Kim Y.J., 2015, Crack-Tip Stress Field of Cracked Pipe under Combined Tension and Thermal Load, Procedia Engineering, 130, pp. 1686-1694.

Samujlo, B., Longwic, F., Lavorgna, M., 2022, Research on the Cases of Cracking of Pipes Derived from Recirculated Polyethylene, Advances in Science and Technology Research Journal, 16(2), pp. 19-25.

Dahmane, M., Boutchicha, D., Adjlout, L., 2016, One-way fluid structure interaction of pipe under flow with different boundary conditions, Mechanics, 22(6), pp. 495-503.

Dahmane, M., Zahaf, S., Benkhettab, M., Boutchicha, D., 2020, Numerical study of static and dynamic instabilities of pinned-pinned pipe under different parameters, American Journal of Engineering and Applied Sciences, 13 (4), pp. 725-735.

Dahmane M., Zahaf S., Boutchicha D., 2020, Effect of thermal load on vibration of clamped-clamped pipe carrying fluid, International Journal of Engineering and Applied Sciences, 15 (23), pp. 3708-3712.

Orhan, S., 2007, Analysis of free and forced vibration of a cracked cantilever beam, NDT&E International, 40, pp. 443-450.

Wu, J., Shih, P., 2001, The dynamic analysis of a multispan fluid-conveying pipe subjected to external load, Journal of Sound and Vibration, 239(2), pp. 201-215.

Son, I., Lee, S., Lee, J., Bae, D., 2013, Proceeding, Dynamic behaviour of forced vibration of elastically restrained pipe conveying fluid with crack and concentrated mass, 9-th international Conference on Fracture & Strenght of Solids, Jeju, Korea, pp. 1-7.

Ghiyam, E., Maleki, V., Rezaee, M., 2016, Effect of open crack on vibration behaviour of a fluid-conveying pipe embedded in a visco-elastic medium, Latin American Journal of Solids and Structures, 13, pp. 136-154.


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