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Natural frequency and critical velocities of heated inclined pinned PP-R pipe conveying fluid

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Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
Purpose: The flow velocity and pressure of fluid flowing through a pipeline can cause the vibration of pipes, and consequently result in the modification in natural frequency via fluid-structure interaction. The value of the natural frequency of a component when approaches the excitation force to a certain degree, a severe resonance failure may occur. Hence, avoiding the resonance failure of a pipe subjected to complex conditions is an essential issue that requires to be solved urgently in the engineering field. This work treats the transverse vibration for flexible inclined heated pipe, made of polypropylene randomcopolymer (PP-R), conveying fluid assuming pinned connections at the ends. The pipe was placed at different support angles and subjected to variant temperatures. Design/methodology/approach: The inclined pipe is modelled as Euler-Bernoulli beam taking into account its self-weight, temperature variation, inclination angle, aspect ratio, and internal fluid velocity. The integral transforms method, which includes the finite Fourier sine and the Laplace transforms, was used to develop an analytic solution to the modified equation of motion and the analytical expressions for dual natural frequencies of the pipefluid interaction system were computed. Findings: The proposed solution technique via finite Fourier sine and Laplace transforms offers a more convenient alternative to calculate the dynamic characteristic of pipes conveying fluid. The obtained results showed that the dynamical behaviour of pipe–fluid system is strongly affected by fluid flow velocity, degree of inclination, temperature variation, and aspect ratio of the pipe in transverse modes. Research limitations/implications: This work focuses on fundamental (first) mode in the most discussions. Practical implications: It was revealed that the thermal effects in the pipe are a very important factor and more significant in comparison with the internal fluid velocity and the inclination angle has a larger impact on vibration characteristics at a higher aspect ratio. The findings can be useful for the design of engineering components. Originality/value: Determining the combining effect of inclination angle, aspect ratio, and thermal loading on vibration characteristic of the pipes conveying fluid by using an improved analytic solution to the modified equation of motion via mixed of finite Fourier sine and Laplace transforms.
Rocznik
Strony
15--27
Opis fizyczny
Bibliogr. 34 poz., rys., tab., wykr.
Twórcy
  • Mechanical Engineering Department, University of Technology, Baghdad, Iraq
autor
  • Mechanical Engineering Department, University of Technology, Baghdad, Iraq
autor
  • Mechanical Engineering Department, University of Technology, Baghdad, Iraq
Bibliografia
  • [1] M.P. Païdoussis, Fluid-Structure Interactions, Vol. 1, Academic Press Publications, 2014.
  • [2] R.S. Reddy, S. Panda, A. Gupta, Nonlinear dynamics of an inclined FG pipe conveying pulsatile hot fluid, International Journal of Non-Linear Mechanics 118 (2020) 103276. DOI: https://doi.org/10.1016/j.ijnonlinmec.2019.103276
  • [3] H.L. Dai, L. Wang, Q. Ni, Dynamics of a fluid-conveying pipe composed of two different materials, International Journal of Engineering Science 73 (2013) 67-76. DOI: https://doi.org/10.1016/j.ijengsci.2013.08.008
  • [4] H.L. Dai, L. Wang, Dynamics and Stability of Magnetically Actuated Pipes Conveying Fluid, International Journal of Structural Stability and Dynamics 16/6 (2015) 1550026. DOI: https://doi.org/10.1142/S0219455415500261
  • [5] H. Ashley, G. Haviland, Bending vibrations of a pipe line containing flowing fluid, Journal of Applied Mechanics 17/3 (1950) 229-232. DOI: https://doi.org/10.1115/1.4010122
  • [6] T.B. Benjamin, Dynamics of a system of articulated pipes conveying fluid. I: theory, Proceedings of the Royal Society of London, Series A, Mathematical and Physical Sciences 261/1307 (1962) 457-486. DOI: https://doi.org/10.1098/rspa.1961.0090
  • [7] R.W. Gregory, M.P. Paidoussis, Unstable oscillation of tubular cantilevers conveying fluid. I: theory, Proceedings of the Royal Society of London, Series A, Mathematical and Physical Sciences 293/1435 (1966) 512-527. DOI: https://doi.org/10.1098/rspa.1966.0187
  • [8] H.R. OzÖz, Non-linear vibrations and stability analysis of tensioned pipes conveying fluid with variable velocity, International Journal of Non-Linear Mechanics 36/7 (2001) 1031-1039. DOI: https://doi.org/10.1016/S0020-7462(00)00065-2
  • [9] J.L. Hill, C.P. Swanson, The Effects of Lumped Masses on the Stability of Fluid Conveying Tubes, Journal of Applied Mechanics 37/2 (1970) 494-497. DOI: https://doi.org/10.1115/1.3408533
  • [10] Q. Ni, Y. Luo, M. Li, H. Yan, Natural frequency and stability analysis of a pipe conveying fluid with axially moving supports immersed in fluid, Journal of Sound and Vibration 403 (2017) 173-189. DOI: https://doi.org/10.1016/j.jsv.2017.05.023
  • [11] B.Y. Dagli, A. Ergut, Dynamics of Fluid Conveying Pipes Using Rayleigh Theory Under Non-Classical Boundary Conditions, European Journal of Mechanics ‒ B/Fluids 77 (2019) 125-134. DOI: https://doi.org/10.1016/j.euromechflu.2019.05.001
  • [12] D.B. Giacobbi, C. Semler, M.P. Païdoussis, Dynamics of Pipes Conveying Fluid of Axially Varying Density, Journal of Sound and Vibration 473 (2020) 115202. DOI: https://doi.org/10.1016/j.jsv.2020.115202
  • [13] M.J. Mohammed, I.Z.M. Darus, Active vortex induced vibration controller and neuro identification for marine risers, Journal of Theoretical and Applied Information Technology 70/1 (2014) 152-162.
  • [14] M.J. Mohammed, I.Z.M. Darus, N.M.R. Shaharuddin, A.A.M. AL-Khafaji, Open Loop Active Control Technique on Segmented Marine Riser Vibration Using Electromechanical Actuator”, ranian Journal of Science and Technology, Transactions of Mechanical Engineering 43 (2019) 799-813. DOI: https://doi.org/10.1007/s40997-018-0229-y
  • [15] M.J. Mohammed, I.Z.M. Darus, PID controller for NARX and ANFIS models of marine pipe cylinder undergoes vortex induced vibration, Journal of Theoretical and Applied Information Technology 66/1 (2014) 359-367.
  • [16] D. Yu, M.P. Païdoussis, H. Shen, L. Wang, Dynamic Stability of Periodic Pipes Conveying Fluid, Journal of Applied Mechanics 81/1 (2013) 011008. DOI: https://doi.org/10.1115/1.4024409
  • [17] M.A. Tawfik, Z.K. Kadhim, R.Y. Hammoudi, Vibration Analysis of Sudden Enlargement Pipe Conveying Fluid with Presence of Heat Flux, Engineering and Technology Journal 27/3 (2009) 533-557.
  • [18] M.J. Jweeg, Z.I. Mohammad, Vibration Characteristics of Different Cross-Section Pipes with Different End Conditions, Engineering and Technology Journal 28/8 (2010) 1634-1654.
  • [19] T.A. El-Sayed, H.H. El-Mongy, Free vibration and stability analysis of a multi-span pipe conveying fluid using exact and variational iteration methods combined with transfer matrix method, Applied Mathematical Modelling 71 (2019) 173-193. DOI: https://doi.org/10.1016/j.apm.2019.02.006b
  • [20] M.J. Jweeg, T.J. Ntayeesh, Dynamic analysis of pipes conveying fluid using analytical, numerical and experimental verification with the aid of smart materials, International Journal of Science and Research 4/12 (2015) 1594-1605.
  • [21] S. Chandurkar, R. Kadoli, Finite Element and Differential Quadrature Solution for Natural Frequency of a Clamped-Free Pipe Conveying Fluid, AIP Conference Proceedings 2134/1 (2019) 040006. DOI: https://doi.org/10.1063/1.5120214
  • [22] K.A. Ameen, M.J. Al-Dulaimi, A.A. Hatem, Experimental Study of Vibration on Pipe Conveying Fluid at Different End Conditions for Different Fluid Temperatures, Engineering and Technology Journal 37/12 (2019) 512-515.
  • [23] M.P. Paidoussis, Dynamics of tubular cantilevers conveying fluid, Journal of Mechanical Engineering Science 12/2 (1970) 85-103. DOI: https://doi.org/10.1243%2FJMES_JOUR_1970_012_017_02
  • [24] L. Wang, Q. Ni, A note on the stability and chaotic motions of a restrained pipe conveying fluid, Journal of Sound and Vibration 296/4-5 (2006) 1079-1083. DOI: https://doi.org/10.1016/j.jsv.2006.03.016
  • [25] M.P. Paidousiss, G. Li, Pipes Conveying Fluid :a Model Dynamical Problem, Journal of Fluids and Structures 7/2 (1993) 137-204. DOI: https://doi.org/10.1006/jfls.1993.1011
  • [26] R.H. Plaut, Post buckling and Vibration of End-Supported Elastic Pipes Conveying Fluid and Columns Under Follower Loads, Journal of Sound and Vibration 289/1-2 (2006) 264-277. DOI: https://doi.org/10.1016/j.jsv.2005.02.032
  • [27] Y. Huang, Y. Liu, B. Li, Y. Li, Z. Yue, Natural Frequency Analysis of Fluid Conveying Pipeline with Different Boundary Conditions, Nuclear Engineering and Design 240/3 (2010) 461-467. DOI: https://doi.org/10.1016/j.nucengdes.2009.11.038
  • [28] D. Jung, J. Chung, In-plane and out-of-plane motions of an extensible semi-circular pipe conveying fluid, Journal of Sound and Vibration 311/1-2 (2008) 408-420. DOI: https://doi.org/10.1016/j.jsv.2007.09.011
  • [29] C.A. Osheku, Non-Linear Flow Induced Vibration with Respect to an Offshore Pipeline in Deep Ocean, European Journal of Scientific Research 66/4 (2011) 541-562.
  • [30] N. Haidar, S. Obaid, M. Jawad, Instability of angled pipeline arising from internal fluids flow, The Iraqi Journal for Mechanical and Material Engineering 12/2 (2012) 222-237.
  • [31] Q. Qian, L. Wang, Q. Ni, Instability of simply supported pipes conveying fluid under thermal loads, Mechanics Research Communications 36/3 (2009) 413-417. DOI: https://doi.org/10.1016/j.mechrescom.2008.09.011
  • [32] Z.L. Greer, Temperature, frequency, and young’s modulus of an aluminum tuning fork, International School Bangkok Journal of Physics 5/1 (2011) 1-5.
  • [33] P. Lee, J. Wang, Frequency-temperature relations of thickness-shear and flexural vibration of contoured quartz resonators, Proceedings of IEEE International Frequency Control Symposium, Honolulu, HI, USA, 1996, 632-639. DOI: https://doi.org/10.1109/FREQ.1996.559944
  • [34] X.Q. Shi, H.L. Pang, W. Zhou, Z.P. Wang, Low cycle fatigue analysis of temperature and frequency effects on eutectic solder alloy, International Journal of Fatigue 22/3 (2000) 217-228. DOI: https://doi.org/10.1016/S0142-1123(99)00124-3
Uwagi
PL
Opracowanie rekordu ze środków MNiSW, umowa Nr 461252 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2021).
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-bd26b0e0-d538-4b32-bc23-ef4ac19d43cb
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