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Journal articles on the topic 'Pipes conveying fluid'

Author: Grafiati

Published: 4 June 2021

Last updated: 1 February 2022

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1

Wang, Xiao Yang, Zheng Zhou, and Xing Pei Liu. "Numerical Analysis of the Vibration of Pipes Conveying Fluid under the Influence of Vertical Branch." Advanced Materials Research 655-657 (January 2013): 620–24. http://dx.doi.org/10.4028/www.scientific.net/amr.655-657.620.

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Nonlinear vibration damage of pipes conveying fluid is a major problem in today’s production and life. Enormous economic loses and safety hazards were caused by nonlinear vibration. Pipes conveying fluid with various branches are very common in actual engineering. Their mechanical properties and vibration mechanism is quite different from that of pipes conveying fluid without branches. This paper showed the nonlinear vibration mechanism of pipes conveying fluid with vertical branches and nonlinear vibration damage factors. Nonlinear vibration theory was used to check the pipeline and some reference data for the rational selection of working parameters were provided.

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2

Deng, Jiaquan, Yongshou Liu, and Wei Liu. "A Hybrid Method for Transverse Vibration of Multi-Span Functionally Graded Material Pipes Conveying Fluid with Various Volume Fraction Laws." International Journal of Applied Mechanics 09, no. 07 (October 2017): 1750095. http://dx.doi.org/10.1142/s1758825117500958.

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Both functionally graded materials (FGMs) and fluid-conveying pipes have wide applications in engineering communities. In this paper, the transverse vibration and stability of multi-span viscoelastic FGM pipes conveying fluid are investigated. Volume fraction laws including power law, sigmoid law and exponential law are introduced to describe the variations of material properties in FGM pipes. A hybrid method which combines reverberation-ray matrix method and wave propagation method is developed to calculate the natural frequencies, and the results determined by present method are compared with the existing results in literature. Then, a comparative study is performed to investigate the effects of fluid velocity, volume fraction laws and internal damping on transverse vibration and stability of the FGM pipes conveying fluid. The results demonstrate that the present method has high precision in dynamic analysis of multi-span pipes conveying fluid. It is also found that natural frequencies of FGM pipes can be adjusted by devising the volume fractions laws. This particular feature can be tailored to fulfill the special applications in engineering.

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3

Lin, Yih-Hwang, and Yau-Kun Tsai. "Nonlinear vibrations of Timoshenko pipes conveying fluid." International Journal of Solids and Structures 34, no. 23 (August 1997): 2945–56. http://dx.doi.org/10.1016/s0020-7683(96)00217-x.

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4

Jayaraman, K., and S. Narayanan. "Chaotic oscillations in pipes conveying pulsating fluid." Nonlinear Dynamics 10, no. 4 (August 1996): 333–57. http://dx.doi.org/10.1007/bf00045481.

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5

Paı̈doussis, M. P., and G. X. Li. "Pipes Conveying Fluid: A Model Dynamical Problem." Journal of Fluids and Structures 7, no. 2 (February 1993): 137–204. http://dx.doi.org/10.1006/jfls.1993.1011.

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6

Ariaratnam, S. T., and N. Sri Namachchivaya. "Dynamic stability of pipes conveying pulsating fluid." Journal of Sound and Vibration 107, no. 2 (June 1986): 215–30. http://dx.doi.org/10.1016/0022-460x(86)90233-6.

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7

Chang, C. O., and K. C. Chen. "Dynamics and Stability of Pipes Conveying Fluid." Journal of Pressure Vessel Technology 116, no. 1 (February 1, 1994): 57–66. http://dx.doi.org/10.1115/1.2929559.

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This paper deals with the dynamics and stability of simply supported pipes conveying fluid, where the fluid has a small harmonic component of flow velocity superposed on a constant mean value. The perturbation techniques and the method of averaging are used to convert the nonautonomous system into an autonomous one and determine the stability boundaries. Post-bifurcation analysis is performed for the parametric points in the resonant regions where the axial force, which is induced by the transverse motion of the pipe due to the fixed-span ends and contributes nonlinearities to the equations of motion, is included. For the undamped system, linear analysis is inconclusive about stability and there does not exist nontrivial solution in the resonant regions. For the damped system, it is found that the original stable system remains stable when the pulsating frequency increases cross the stability boundary and becomes unstable when the pulsating frequency decreases cross the stability boundary.

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8

Hou, Yu, and Guo Hua Zeng. "Research on Nonlinear Dynamic Characteristics of Fluid-Conveying Pipes System." Advanced Materials Research 228-229 (April 2011): 574–79. http://dx.doi.org/10.4028/www.scientific.net/amr.228-229.574.

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Lateral vibration equations of fluid-conveying pipes system are high order partial differential equations, and the analytic solution is difficult to obtain, so in this paper the numerical solution is obtained by the finite element method. Firstly, the finite element equations of lateral vibration of fluid-conveying pipes were set up, and four kinds of boundary constraints were proposed. The modal analysis of vibration system was carried out by using mode decomposition method, and the system responses were solved by using Newmark method. The impact of pipe span, flow rate, fluid pressure, flow rate disturbance and fluid pressure disturbance on the modes and responses of vibration system were studied. The research results provided theoretical support for the vibration reduction research of fluid-conveying pipes.

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9

An, Chen, and Jian Su. "Dynamic Behavior of Axially Functionally Graded Pipes Conveying Fluid." Mathematical Problems in Engineering 2017 (2017): 1–11. http://dx.doi.org/10.1155/2017/6789634.

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Dynamic behavior of axially functionally graded (FG) pipes conveying fluid was investigated numerically by using the generalized integral transform technique (GITT). The transverse vibration equation was integral transformed into a coupled system of second-order differential equations in the temporal variable. The Mathematica’s built-in function, NDSolve, was employed to numerically solve the resulting transformed ODE system. Excellent convergence of the proposed eigenfunction expansions was demonstrated for calculating the transverse displacement at various points of axially FG pipes conveying fluid. The proposed approach was verified by comparing the obtained results with the available solutions reported in the literature. Moreover, parametric studies were performed to analyze the effects of Young’s modulus variation, material distribution, and flow velocity on the dynamic behavior of axially FG pipes conveying fluid.

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10

Zhai, Hong Bo, Jian Jun Su, Xiao Min Yan, and Wei Liu. "Dynamic Response of the Pipe Conveying Fluid with the Pressure Pulsation." Advanced Materials Research 1094 (March 2015): 491–94. http://dx.doi.org/10.4028/www.scientific.net/amr.1094.491.

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The dynamic response characteristic of the pipe conveying fluid was researched with the fluid pressure pulsation in this article. For some hydraulic power pipe system, formed the mathematic models and the transfer matrices of the main hydraulic elements based on the fluid network algorithm, deduced the calculation formulae of input-output pressure pulsation, gained the transitive relationship of the fluid flow pulsation and pressure pulsation, and then studied the pressure pulsation amplitude of the hydraulic power pipes with different working pressures. This study, which analyzed the dynamic response of the pipe conveying fluid and discussed the feasibility of increasing the working pressure, is valuable for the design and the application of the pipes conveying fluid.

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11

Chu, Chih-Liang, and Yih-Hwang Lin. "Finite Element Analysis of Fluid-Conveying Timoshenko Pipes." Shock and Vibration 2, no. 3 (1995): 247–55. http://dx.doi.org/10.1155/1995/645097.

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A general finite element formulation using cubic Hermitian interpolation for dynamic analysis of pipes conveying fluid is presented. Both the effects of shearing deformations and rotary inertia are considered. The development retains the use of the classical four degrees-of-freedom for a two-node element. The effect of moving fluid is treated as external distributed forces on the support pipe and the fluid finite element matrices are derived from the virtual work done due to the fluid inertia forces. Finite element matrices for both the support pipe and moving fluid are derived and given explicitly. A numerical example is given to demonstrate the validity of the model.

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12

Zhao, Yuzhen, Yongshou Liu, Qing Guo, Tao Han, and Baohui Li. "Resonance risk and global sensitivity analysis of a straight–curved combination pipe based on active learning Kriging model." Advances in Mechanical Engineering 11, no. 3 (March 2019): 168781401983835. http://dx.doi.org/10.1177/1687814019838353.

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The resonance failure of straight–curved combination pipes conveying fluid which are widely used in engineering is becoming a serious issue. But there are only few studies available on the resonance failure of combination pipes. The resonance failure probability and global sensitivity analysis of straight–curved combination pipes conveying fluid are studied by the active learning Kriging method proposed in this article. Based on the Euler–Bernoulli beam theory, the dynamic stiffness matrices of straight and curved pipes are derived in the local coordinate system, respectively. Then the dynamic stiffness matrix and characteristic equation of a straight–curved combination pipe conveying fluid are assembled under a global coordinate system. The natural frequency is calculated based on the characteristic equation. A resonance failure performance function is established based on the resonance failure mechanism and relative criterions. The active learning Kriging model based on expected risk function is introduced for calculating the resonance failure probability and moment-independent global sensitivity analysis index. The importance rankings of input variables are obtained with different velocities. According to the results, it is shown that the method proposed in this article provides a lot of guidance for resonance reliability analysis and anti-resonance design in combination pipes conveying fluid.

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13

Zhang, Y. L., D. G. Gorman, and J. M. Reese. "Analysis of the vibration of pipes conveying fluid." Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 213, no. 8 (August 1, 1999): 849–59. http://dx.doi.org/10.1243/0954406991522455.

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The dynamic equilibrium matrix equation for a discretized pipe element containing flowing fluid is derived from the Lagrange principle, the Ritz method and consideration of the coupling between the pipe and fluid. The Eulerian approach and the concept of fictitious loads for kinematic correction are adopted for the analysis of geometrically non-linear vibration. The model is then deployed to investigate the vibratory behaviour of the pipe conveying fluid. The results for a long, simply supported, fluid-conveying pipe subjected to initial axial tensions are compared with experimentally obtained results and those from a linear vibration model.

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14

Wang, L., T. L. Jiang, and H. L. Dai. "Three-dimensional dynamics of supported pipes conveying fluid." Acta Mechanica Sinica 33, no. 6 (October 19, 2017): 1065–74. http://dx.doi.org/10.1007/s10409-017-0718-z.

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15

Ghayesh, Mergen H., Michael P. Païdoussis, and Marco Amabili. "Nonlinear dynamics of cantilevered extensible pipes conveying fluid." Journal of Sound and Vibration 332, no. 24 (November 2013): 6405–18. http://dx.doi.org/10.1016/j.jsv.2013.06.026.

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16

Dai, H. L., L. Wang, Q. Qian, and Q. Ni. "Vortex-induced vibrations of pipes conveying pulsating fluid." Ocean Engineering 77 (February 2014): 12–22. http://dx.doi.org/10.1016/j.oceaneng.2013.12.006.

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17

Fan, C. N., and W. H. Chen. "Vibration and Stability of Helical Pipes Conveying Fluid." Journal of Pressure Vessel Technology 109, no. 4 (November 1, 1987): 402–10. http://dx.doi.org/10.1115/1.3264923.

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This paper presents an accurate finite element procedure for the vibration and stability analysis of helical pipe conveying fluid. The kinematics of the helical pipe are derived including the effects of arbitrary curvatures and torsions in a nonorthogonal helical coordinate system. The equations of motion are derived from the Hamilton’s principle for mass transport system and the shear deformation and rotary inertia are also considered. The 3-node space-curved isoparametric element is used. The natural frequencies, mode shapes and critical flow velocities of buckling are studied for different end conditions. The significant influence of torsion effects on the calculation of natural frequencies and critical flow velocities is found. To demonstrate the validity and accuracy of the techniques developed, several numerical examples are illustrated.

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18

BORGLUND, D. "ON THE OPTIMAL DESIGN OF PIPES CONVEYING FLUID." Journal of Fluids and Structures 12, no. 3 (April 1998): 353–65. http://dx.doi.org/10.1006/jfls.1997.0135.

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19

Lin, Yih‐Hwang, and Chih‐Liang Chu. "Active modal control of timoshenko pipes conveying fluid." Journal of the Chinese Institute of Engineers 24, no. 1 (January 2001): 65–74. http://dx.doi.org/10.1080/02533839.2001.9670607.

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20

Liu, Zhi-Yuan, Lin Wang, and Xi-Ping Sun. "Nonlinear Forced Vibration of Cantilevered Pipes Conveying Fluid." Acta Mechanica Solida Sinica 31, no. 1 (February 2018): 32–50. http://dx.doi.org/10.1007/s10338-018-0011-0.

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21

Jin, J. D., and Z. Y. Song. "Parametric resonances of supported pipes conveying pulsating fluid." Journal of Fluids and Structures 20, no. 6 (August 2005): 763–83. http://dx.doi.org/10.1016/j.jfluidstructs.2005.04.007.

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22

Łuczko, Jan, and Andrzej Czerwiński. "Three-dimensional dynamics of curved pipes conveying fluid." Journal of Fluids and Structures 91 (November 2019): 102704. http://dx.doi.org/10.1016/j.jfluidstructs.2019.102704.

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23

Kheiri, Mojtaba. "Nonlinear dynamics of imperfectly-supported pipes conveying fluid." Journal of Fluids and Structures 93 (February 2020): 102850. http://dx.doi.org/10.1016/j.jfluidstructs.2019.102850.

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24

Zhong-min, Wang, Zhang Zhan-wu, and Zhao Feng-qun. "Stability analysis of viscoelastic curved pipes conveying fluid." Applied Mathematics and Mechanics 26, no. 6 (June 2005): 807–13. http://dx.doi.org/10.1007/bf02465432.

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25

Czerwiński, Andrzej, and Jan Łuczko. "Nonlinear vibrations of planar curved pipes conveying fluid." Journal of Sound and Vibration 501 (June 2021): 116054. http://dx.doi.org/10.1016/j.jsv.2021.116054.

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26

Farokhi, Hamed, Mohammad Tavallaeinejad, and Michael P. Païdoussis. "Geometrically exact dynamics of cantilevered pipes conveying fluid." Journal of Fluids and Structures 106 (October 2021): 103364. http://dx.doi.org/10.1016/j.jfluidstructs.2021.103364.

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27

Wen, H. B., Y. R. Yang, P. Li, Y. D. Li, and Y. Huang. "A New Method Based on Laplace Transform and Its Application to Stability of Pipe Conveying Fluid." Shock and Vibration 2017 (2017): 1–9. http://dx.doi.org/10.1155/2017/1472601.

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A new differential transformation method is developed in this paper and is applied for free vibration problem of pipes conveying fluid. The natural frequencies, critical flow velocities, and vibration mode functions of such pipes with several typical boundary conditions are obtained and compared with the results predicted by Galerkin method and finite element method (FEM) and with other results archived. The results show that the present method is of high precision and can serve as an analytical method for the vibration of pipes conveying fluid.

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28

WANG, L., and Q. NI. "LARGE-AMPLITUDE FREE VIBRATIONS OF FLUID-CONVEYING PIPES ON A PASTERNAK FOUNDATION." International Journal of Structural Stability and Dynamics 08, no. 04 (December 2008): 615–26. http://dx.doi.org/10.1142/s0219455408002843.

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The large-amplitude free vibration problem of uniform slender pipes conveying fluid on a Pasternak foundation is studied using the principle of conservation of total energy. The temporal equation governing the large-amplitude vibrations is directly obtained from this approach by assuming a suitable admissible spatial function that satisfies the boundary conditions of the pipes. It is solved by using a standard numerical integration scheme. The numerical results, in the form of the ratio of the fundamental nonlinear frequency to the linear frequency for both the simply supported and clamped pipes conveying fluid, are presented in tables and figures for various amplitude parameters, flowing velocities of the internal fluid, and the two stiffness parameters of the Pasternak foundation.

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29

Bahaadini, Reza, Mohammad Reza Dashtbayazi, Mohammad Hosseini, and Zahra Khalili-Parizi. "Stability analysis of composite thin-walled pipes conveying fluid." Ocean Engineering 160 (July 2018): 311–23. http://dx.doi.org/10.1016/j.oceaneng.2018.04.061.

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30

Jin, Jiduo, Yufei Zhang, and Xiaodong Yang. "Stability Analysis of Fluid-Conveying Pipes with Supported Ends." Advanced Science Letters 15, no. 1 (August 1, 2012): 133–38. http://dx.doi.org/10.1166/asl.2012.4044.

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31

Giacobbi, Dana B., Christian Semler, and Michael P. Païdoussis. "Dynamics of pipes conveying fluid of axially varying density." Journal of Sound and Vibration 473 (May 2020): 115202. http://dx.doi.org/10.1016/j.jsv.2020.115202.

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32

DE LANGRE, E., and A. E. OUVRARD. "ABSOLUTE AND CONVECTIVE BENDING INSTABILITIES IN FLUID-CONVEYING PIPES." Journal of Fluids and Structures 13, no. 6 (August 1999): 663–80. http://dx.doi.org/10.1006/jfls.1999.0230.

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33

MAALAWI, K. Y., and M. A. ZIADA. "ON THE STATIC INSTABILITY OF FLEXIBLE PIPES CONVEYING FLUID." Journal of Fluids and Structures 16, no. 5 (July 2002): 685–90. http://dx.doi.org/10.1006/jfls.2002.0438.

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34

Schouveiler, Lionel, and Félix Chermette. "Flutter instability of freely hanging articulated pipes conveying fluid." Physics of Fluids 30, no. 3 (March 2018): 034105. http://dx.doi.org/10.1063/1.5021160.

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35

Liang, Feng, Xiao-Dong Yang, Ri-Dong Bao, and Wei Zhang. "Frequency Analysis of Functionally Graded Curved Pipes Conveying Fluid." Advances in Materials Science and Engineering 2016 (2016): 1–9. http://dx.doi.org/10.1155/2016/7574216.

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The curved pipe made of functionally graded material conveying fluid is considered and the in-plane free vibration frequency of the resulting composite pipe is investigated. The material properties are assumed to distribute continuously along the pipe wall thickness according to a power law and the effective mass, flexural rigidity, and mass ratio are used in the governing equations. The natural frequencies are derived numerically by applying the modified inextensible theory. The lowest four natural frequencies are studied via the complex mode method, the validity of which is demonstrated by comparing the results with those in available literatures. A parametric sensitivity study is conducted by numerical examples and the results obtained reveal the significant effects of material distribution gradient index, flow velocity, fluid density, and opening angle on the natural frequencies of the FGM curved pipes conveying fluid.

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36

Dai, H. L., and L. Wang. "Dynamics and Stability of Magnetically Actuated Pipes Conveying Fluid." International Journal of Structural Stability and Dynamics 16, no. 06 (June 2016): 1550026. http://dx.doi.org/10.1142/s0219455415500261.

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This paper is concerned with the development of a theoretical model for predicting the dynamics and pull-in instability of magnetically actuated pipes conveying fluid. The equation of motion of the pipe is constructed in the presence of nonlinear magnetic forces. The lateral displacement of the pipe comprises two parts, namely, a static displacement and a perturbation displacement about the static. Based on the finite element method (FEM), the static deflection of the pipe is calculated numerically first. The computed static deflection is then used to solve the equation governing the perturbed displacement. Consequently, the pull-in and flow-induced instabilities can be determined for clamped–clamped or cantilevered boundary conditions. Results show that the flow speed can significantly affects the static deflection of the pipe and hence the pull-in magnetic force. The magnetic force, on the other hand, has a great impact on the dynamics of the pipe system.

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37

DOKI, Hitoshi, Kazuhiko HIRAMOTO, Hiroyuki AKUTSU, and Atsushi KANNO. "Stabilization of Cantilevered Pipes Conveying Fluid Using H.INF. Control." Transactions of the Japan Society of Mechanical Engineers Series C 62, no. 601 (1996): 3394–99. http://dx.doi.org/10.1299/kikaic.62.3394.

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38

Hu, Bing, Fu-Lei Zhu, Dian-Long Yu, Jiang-Wei Liu, Zhen-Fang Zhang, Jie Zhong, and Ji-Hong Wen. "Impact vibration properties of locally resonant fluid-conveying pipes." Chinese Physics B 29, no. 12 (December 2020): 124301. http://dx.doi.org/10.1088/1674-1056/abb312.

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39

Liang, Feng, Xiao-Dong Yang, Wei Zhang, and Ying-Jing Qian. "Nonlinear Free Vibration of Spinning Viscoelastic Pipes Conveying Fluid." International Journal of Applied Mechanics 10, no. 07 (August 2018): 1850076. http://dx.doi.org/10.1142/s175882511850076x.

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Drill strings are one of the most significant rotor components employed in oil and gas exploitation. In this paper, an improved dynamical model of drill-string-like pipes conveying fluid is developed by taking into account the axial spin, fluid–structure interaction (FSI), damping as well as curvature and inertia nonlinearities. The partial differential equations of motion are derived by two sequential Euler angles and the Hamilton principle and then directly handled by the multiple scales method. The nonlinear amplitudes, frequencies and whirling mode shapes are all investigated towards various system parameters to display the nonlinear dynamical characteristics of such a special rotor system coupled with FSI. It is revealed that the nonlinear amplitudes and frequencies are explicitly dependent on the spinning speed, while the flowing fluid mainly contributes to the linear frequencies, and consequently influences the nonlinear amplitudes and frequencies. The FSI effect and axial spin can both improve the forward procession mode and suppress the backward one, while both procession modes will be suppressed by the viscoelastic damping. The pipe will ultimately present a forward as well as decayed whirling motion for the fundamental mode.

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40

Reddy, Rajidi Shashidhar, Satyajit Panda, and Ganesh Natarajan. "Nonlinear dynamics of functionally graded pipes conveying hot fluid." Nonlinear Dynamics 99, no. 3 (December 23, 2019): 1989–2010. http://dx.doi.org/10.1007/s11071-019-05426-3.

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41

McDonald, R. J., and N. Sri Namachchivaya. "Pipes conveying pulsating fluid near a resonance: Global bifurcations." Journal of Fluids and Structures 21, no. 5-7 (December 2005): 665–87. http://dx.doi.org/10.1016/j.jfluidstructs.2005.07.015.

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42

Dehrouyeh-Semnani, Amir Mehdi, Esmaeil Dehdashti, Mohammad Reza Hairi Yazdi, and Mansour Nikkhah-Bahrami. "Nonlinear thermo-resonant behavior of fluid-conveying FG pipes." International Journal of Engineering Science 144 (November 2019): 103141. http://dx.doi.org/10.1016/j.ijengsci.2019.103141.

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43

Zhou, Xiao-wen, Hu-Liang Dai, and Lin Wang. "Dynamics of axially functionally graded cantilevered pipes conveying fluid." Composite Structures 190 (April 2018): 112–18. http://dx.doi.org/10.1016/j.compstruct.2018.01.097.

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44

Dupuis, C., and J. Rousselet. "The equations of motion of curved pipes conveying fluid." Journal of Sound and Vibration 153, no. 3 (March 1992): 473–89. http://dx.doi.org/10.1016/0022-460x(92)90377-a.

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45

DENISOV, K. P., and V. L. KHITRIK. "A NOTE ON THE STABILITY OF PIPES CONVEYING FLUID." Journal of Sound and Vibration 244, no. 5 (July 2001): 904–14. http://dx.doi.org/10.1006/jsvi.2000.3513.

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46

Zhao, Yuzhen, Dike Hu, Song Wu, Xinjun Long, and Yongshou Liu. "Dynamics of axially functionally graded conical pipes conveying fluid." Journal of Mechanics 37 (2021): 318–26. http://dx.doi.org/10.1093/jom/ufaa030.

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Abstract In this paper, the dynamics of axially functionally graded (AFG) conical pipes conveying fluid are analyzed. The materials are distributed along the conical pipe axis as a volume fraction function. Either the elastic modulus or the density of the AFG conical pipe is assumed to vary from the inlet to the outlet. The governing equation of the AFG conical pipe is derived using the Hamiltonian principle and solved by the differential quadrature method. The effects of the volume fraction index, volume fraction function type and reduction factor on the natural frequency and critical velocity are analyzed. It is found that for a power function volume fraction type, the natural frequency and critical velocity increase with increasing volume fraction index and clearly increase when the volume fraction index is within the range (0, 10). For an exponential function volume fraction type, the natural frequency and critical velocity change rapidly within the range (−10, 10), besides the above range the relationship between the natural frequency, critical velocity and volume fraction index is approximate of little change. The natural frequency and critical velocity decrease linearly with increasing reduction factor.

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47

DOKI, Hitoshi, Kazuhiko HIRAMOTO, Isamu SAITO, and Tomomichi MIYAZAKI. "A Simultaneous Optimal Design for Cantilevered Pipes Conveying Fluid. Experimental Verification for a Combined Pipe Conveying Fluid." Transactions of the Japan Society of Mechanical Engineers Series C 68, no. 667 (2002): 817–24. http://dx.doi.org/10.1299/kikaic.68.817.

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48

Liu, Long, and Fuzhen Xuan. "Flow-Induced Vibration Analysis of Supported Pipes Conveying Pulsating Fluid Using Precise Integration Method." Mathematical Problems in Engineering 2010 (2010): 1–15. http://dx.doi.org/10.1155/2010/806475.

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Dynamic analysis of supported pipes conveying pulsating fluid is investigated in Hamiltonian system using precise integration method (PIM). First, symplectic canonical equations of supported pipes are deduced with state variable vectors composed of displacement and momentum. Then, PIM with linear interpolation formula is proposed to solve these equations. Finally, this approach's precision is testified by several numerical examples of pinned-pinned pipes with different fluid velocities and frequencies. The results show that PIM is an efficient and rapid approach for flow-induced dynamic analysis o f supported pipes.

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49

Liang, Feng, Xiao-Dong Yang, Ying-Jing Qian, and Wei Zhang. "Free Vibration Analysis of Pipes Conveying Fluid Based on Linear and Nonlinear Complex Modes Approach." International Journal of Applied Mechanics 09, no. 08 (December 2017): 1750112. http://dx.doi.org/10.1142/s1758825117501125.

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In this paper, linear and nonlinear complex modes are used to analyze the free vibration of pipes conveying fluid involving the gyroscopic properties of the system. The natural frequencies, complex mode functions and time domain responses of the admissible mode functions based on discretized model are obtained using the invariant manifold method and compared with those of the continuous model. A good agreement has been achieved if the admissible mode functions for the static beams are adopted. The energy contributions of different admissible modes to the modal motions are also studied which explores the gyroscopic coupling variation among the admissible modes for different fluid velocities. Nonlinear complex modes are constructed for the nonlinear case and the morphology of the modal motions is demonstrated for different initial energy to show the contribution of the nonlinear terms. ‘Traveling waves’ are found for the transverse vibrations of the pipes conveying fluid due to the gyroscopic effects, contrary to the “standing waves” found for the pipes without moving fluid.

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50

Mostafa, Nawras. "W1FINITE ELEMENT ANALYSIS OF PIPES CONVEYING FLUID MOUNTED ON VISCOELASTIC FOUNDATIONS." IRAQI JOURNAL FOR MECHANICAL AND MATERIALS ENGINEERING 19, no. 3 (September 8, 2019): 14. http://dx.doi.org/10.32852/iqjfmme.v19i3.373.

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Abstract:

AbstractIn this study, the stability of a simply supported pipeline conveying fluid with different velocities and resting on viscoelastic foundation is investigated by using finite element analysis, and the critical fluid velocity with different parameters such as stiffness and viscous coefficients of foundation are obtained. This structural system could be found in pipes conveying petrol, water, and sewage. The foundation is simulated using the modified Winkler's model to introduce the effect of time dependent viscosity term. Some known results are confirmed and some new ones obtained. Two components of foundation, stiffness and viscosity, seemed to act on the critical flow velocity of the pipe in contrary trend. Where, increasing the foundation stiffness tended to increase the critical flow velocity in the pipe. While, increasing foundation viscosity attempted to decrease it. At some ranges of pipe length, the foundation viscosity effect seems to be more extreme. Increasing the fluid velocity leads to monotonic reduction in the system damping ratio. Two parameters, pipe length and fluid density which relate to the natural frequency of pipeline conveying fluid are studied in detail and the results indicate that the effect of Coriolis force on natural frequency is become more effective by increasing pipe length and fluid density besides increasing fluid flow velocity.

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