Applied Mathematics and Mechanics (English Edition) ›› 2026, Vol. 47 ›› Issue (7): 1447-1468.doi: https://doi.org/10.1007/s10483-026-3402-8
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Runqing CAO1, Yixiang HE1, Jiachun HU1, Huliang DAI1,2(
), Lin WANG1,2
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RSSReceived:2025-11-26
Revised:2026-04-21
Published:2026-06-30
Contact:
Huliang DAI, E-mail: daihulianglx@hust.edu.cnSupported by:2010 MSC Number:
Runqing CAO, Yixiang HE, Jiachun HU, Huliang DAI, Lin WANG. Offset support design for enhancing the stability of flexible fluid-conveying pipes. Applied Mathematics and Mechanics (English Edition), 2026, 47(7): 1447-1468.
Fig. 1
Pipe with an offset support under different boundary conditions: (a) simply supported straight pipe; (b) Model I: XI=0.5; (c) Model II: XII=0.25; (d) cantilevered straight pipe;(e) Model III: XIII=1; (f) Model IV: XIV=0.75 (color online)"
Fig. 2
Schematic diagram of the experimental setup of pipes with offset supports for Models I and IV (color online)"
Fig. 3
Static deformations of the experimental setup of pipes with offset supports for (a) Model I and (b) Model IV (color online)"
Table 1
Boundary settings of Models I–IV"
| Boundary setting | Model I | Model II | Model III | Model IV |
|---|---|---|---|---|
| Boundary condition | S-S-S | S-S-S | C-S | C-S-F |
| Axial sliding | Allow | Allow | Allow | Allow |
| Note that S, C, and F are short for simply supported, clamped, and free ends, respectively | ||||
Table 2
Strains of Models I–IV at equilibrium"
| Strain | Model I | Model II | Model III | Model IV |
|---|---|---|---|---|
| Left-end | 0 | 0 | | |
| Right-end | 0 | 0 | 0 | 0 |
| Supported-position | | | 0 | |
| Note that l denotes the offset distance, and its unit is m | ||||
Fig. 4
Natural frequencies of the straight pipe without offset supports for various fluid velocities with β=0.2, L=1, Π0=10 000, and Π1=0.769: (a) Model I: XI=0.5, YI=0; (b) Model II: XII=0.25, YII=0; (c) Model III: XIII=1, YIII=0; (d) Model IV: XIV=0.75, YIV=0 (color online)"
Fig. 5
Static deformations of Models I–IV as a function of fluid velocity with β=0.2, Π0=10 000, and Π1=0.769: (a) Model I, (b) Model II, (c) Model III, and (d) Model IV. (a1, b1, c1, d1) Y=0.02; (a2, b2, c2, d2) Y=0.04; (a3, b3, c3, d3) Y=0.06; (a4, b4, c4, d4) Y=0.08 (color online)"
Fig. 6
Natural frequencies of Models I–IV as a function of fluid velocity with β=0.2, Π0=10 000, and Π1=0.769: (a) Model I, (b) Model II, (c) Model III, and (d) Model IV. (a1, b1, c1, d1) Y=0.02; (a2, b2, c2, d2) Y=0.04; (a3, b3, c3, d3) Y=0.06; (a4, b4, c4, d4) Y=0.08 (color online)"
Fig. 7
Critical fluid velocities of Models I, II, and IV as a function of offset value with β=0.2, Π0=10 000, and Π1=0.769: (a) Model I, (b) Model II, and (c) Model IV (color online)"
Fig. 8
Buckling configurations of Model I at different flow velocities when the offset distance YI=0 for (a)–(c) u=0, 1, 2, ⋯, 6, (d)–(f) u=6.5, (g)–(i) u=8.5, and (j)–(l) u=10. The left, middle, and right columns are the front, side, and 3D views, respectively (color online)"
Fig. 9
Bifurcation diagrams of Model I in three directions at the position X=0.75 when the support displacement distance YI=0.04 for the (a) X-direction, (b) Y-direction, and (c) Z-direction (color online)"
Fig. 10
Buckling configurations of Model I at different flow velocities when the offset distance YI=0.04 for (a)–(d) u=9.2, (e)–(h) u=9.3, (i)–(l) u=13, and (m)–(p) u=15. The first, second, third, and fourth columns are the front, left, top, and 3D views, respectively (color online)"
Fig. 11
Deformed configurations of Model III at fluid velocities of 5, 10, 15, and 20 when the offset distance YIII=0.04: (a) 3D view, (b) OYZ-plane, and (c) OXY-plane (color online)"
| [1] | PAÏDOUSSIS, M. P. Pipes conveying fluid: a fertile dynamics problem. Journal of Fluids and Structures, 114, 103664 (2022) |
| [2] | ZHANG, Y. F., YAO, M. H., ZHANG, W., and WEN, B. C. Dynamical modeling and multi-pulse chaotic dynamics of cantilevered pipe conveying pulsating fluid in parametric resonance. Aerospace Science and Technology, 68, 441–453 (2017) |
| [3] | ZHU, H. J., GAO, Y., HU, J., ZHAO, H. L., and BAO, Y. Temporal-spatial mode competition in slug-flow induced vibration of catenary flexible riser in both in plane and out of plane. Applied Ocean Research, 119, 103017 (2022) |
| [4] | CIANCHETTI, M., LASCHI, C., MENCIASSI, A., and DARIO, P. Biomedical applications of soft robotics. Nature Reviews Materials, 3(6), 143–153 (2018) |
| [5] | LYU, W. B., MA, H., ZHOU, H. B., ZHANG, J. Q., YURCHENKO, D., and ZHOU, S. X. Design, simulation and experimental validation of a Tesla turbine based rotational electromagnetic energy harvester for pipelines. Mechanical Systems and Signal Processing, 224, 112034 (2025) |
| [6] | GUO, X. M., CAO, Y. M., MA, H., XIAO, C. L., and WEN, B. C. Dynamic analysis of an L-shaped liquid-filled pipe with interval uncertainty. International Journal of Mechanical Sciences, 217, 107040 (2022) |
| [7] | WANG, L., DAI, H. L., and QIAN, Q. Dynamics of simply supported fluid-conveying pipes with geometric imperfections. Journal of Fluids and Structures, 29, 97–106 (2012) |
| [8] | KHUDAYAROV, B. A., KOMILOVA, K. M., and TURAEV, F. Z. Numerical study of the effect of viscoelastic properties of the material and bases on vibration fatigue of pipelines conveying pulsating fluid flow. Engineering Failure Analysis, 115, 104635 (2020) |
| [9] | SUGIYAMA, Y., TANAKA, Y., KISHI, T., and KAWAGOE, H. Effect of a spring support on the stability of pipes conveying fluid. Journal of Sound and Vibration, 100(2), 257–270 (1985) |
| [10] | GHAYESH, M. H. and PAÏDOUSSIS, M. P. Three-dimensional dynamics of a cantilevered pipe conveying fluid, additionally supported by an intermediate spring array. International Journal of Non-Linear Mechanics, 45(5), 507–524 (2010) |
| [11] | KHAN, H. H., ISLAM, M., FATT, Y. Y., JANAJREH, I., and ALAM, M. M. Effect of three tandem cylinder diameter difference on flow-induced vibrations and heat transfer. International Journal of Mechanical Sciences, 236, 107764 (2022) |
| [12] | FAN, X., ZHU, C. G., MAO, X. Y., and DING, H. Adjacent mode resonance of a hydraulic pipe system consisting of parallel pipes coupled at middle points. Applied Mathematics and Mechanics (English Edition), 44(3), 363–380 (2023) https://doi.org/10.1007/s10483-023-2967-6 |
| [13] | JIN, Y. Y., GUO, X. T., CHEN, Y., and LIANG, F. Synchronous piezoelectric-electromagnetic energy harvesting of a bi-directional functionally graded pipe conveying fluid. Thin-Walled Structures, 221, 114433 (2026) |
| [14] | ZHAO, A. X., GUO, X. T., LIANG, F., and CHEN, Y. Enhanced energy harvesting of a spinning bi-directional piezoelectric pipe conveying fluid. Applied Mathematical Modelling, 155, 116730 (2026) |
| [15] | CHANG, G. H. and MODARRES-SADEGHI, Y. Flow-induced oscillations of a cantilevered pipe conveying fluid with base excitation. Journal of Sound and Vibration, 333(18), 4265–4280 (2014) |
| [16] | ZHOU, K., NI, Q., WANG, L., and DAI, H. L. Planar and non-planar vibrations of a fluid-conveying cantilevered pipe subjected to axial base excitation. Nonlinear Dynamics, 99(4), 2527–2549 (2020) |
| [17] | PAÏDOUSSIS, M. P., LI, G. X., and RAND, R. H. Chaotic motions of a constrained pipe conveying fluid: comparison between simulation, analysis, and experiment. Journal of Applied Mechanics, 58(2), 559–565 (1991) |
| [18] | WANG, D. L., JIANG, T. L., DAI, H. L., and WANG, L. Non-planar vibration characteristics and buckling behaviors of two fluid-conveying pipes coupled with an intermediate spring. Applied Mathematics and Mechanics (English Edition), 46(10), 1829–1850 (2025) https://doi.org/10.1007/s10483-025-3306-9 |
| [19] | DU, Y., ZHOU, S. X., JING, X. J., PENG, Y. P., WU, H. K., and KWOK, N. Damage detection techniques for wind turbine blades: a review. Mechanical Systems and Signal Processing, 141, 106445 (2020) |
| [20] | DING, H. and JI, J. C. Vibration control of fluid-conveying pipes: a state-of-the-art review. Applied Mathematics and Mechanics (English Edition), 44(9), 1423–1456 (2023) https://doi.org/10.1007/s10483-023-3023-9 |
| [21] | ZHANG, H. R., ZHOU, S. Z., ZHANG, J. Q., MA, H., and ZHOU, S. X. A sustainable and enhanced-performance vibration energy harvester for application on railway bridge: design, modeling, and analysis. Mechanical Systems and Signal Processing, 225, 112279 (2025) |
| [22] | FAROKHI, H., TAVALLAEINEJAD, M., and PAÏDOUSSIS, M. P. Geometrically exact dynamics of cantilevered pipes conveying fluid. Journal of Fluids and Structures, 106, 103364 (2021) |
| [23] | YANG, C. J., ZHANG, W. H., REN, G. X., and LIU, X. Y. Modeling and dynamics analysis of helical spring under compression using a curved beam element with consideration on contact between its coils. Meccanica, 49(4), 907–917 (2014) |
| [24] | DEMENOIS, M., MIAO, H. Y., and GOSSELIN, F. P. Easy to build, modular and large scale pipe conveying fluid experimental setup. HardwareX, 15, e00460 (2023) |
| [25] | PANDA, L. N. and KAR, R. C. Nonlinear dynamics of a pipe conveying pulsating fluid with combination, principal parametric and internal resonances. Journal of Sound and Vibration, 309(3-5), 375–406 (2008) |
| [26] | LI, M. W. and WANG, L. Parametric model reduction for a cantilevered pipe conveying fluid via parameter-dependent center and unstable manifolds. International Journal of Non-Linear Mechanics, 160, 104629 (2024) |
| [27] | WEN, H. B., YANG, Y. R., and LI, Y. D. Study on the stability of multi-span U-shaped pipe conveying fluid with complex constraints. International Journal of Pressure Vessels and Piping, 203, 104911 (2023) |
| [28] | DENG, T. C., DING, H., KITIPORNCHAI, S., and YANG, J. Machine learning-based design strategy for weak vibration pipes conveying fluid. Applied Mathematics and Mechanics (English Edition), 46(7), 1215–1236 (2025) https://doi.org/10.1007/s10483-025-3275-6 |
| [29] | PAÏDOUSSIS, M. P. and LI, G. X. Pipes conveying fluid: a model dynamical problem. Journal of Fluids and Structures, 7(2), 137–204 (1993) |
| [30] | LUNDGREN, T. S., SETHNA, P. R., and BAJAJ, A. K. Stability boundaries for flow induced motions of tubes with an inclined terminal nozzle. Journal of Sound and Vibration, 64(4), 553–571 (1979) |
| [31] | IBRAHIM, R. A. Mechanics of pipes conveying fluids — part II: applications and fluidelastic problems. Journal of Pressure Vessel Technology, 133(2), 024001 (2011) |
| [32] | GHAYESH, M. H., PAÏDOUSSIS, M. P., and AMABILI, M. Nonlinear dynamics of cantilevered extensible pipes conveying fluid. Journal of Sound and Vibration, 332(24), 6405–6418 (2013) |
| [33] | HATHAIPICHITCHAI, P., KLAYCHAM, K., JIAMMEEPREECHA, W., ATHISAKUL, C., and CHUCHEEPSAKUL, S. Post-buckling behavior of variable-arc-length elastica pipe conveying fluid including effects of self-weight and pressure variation. International Journal of Non-Linear Mechanics, 164, 104760 (2024) |
| [34] | GUO, Y., ZHU, B., YANG, B., and LI, Y. H. Flow-induced buckling and post-buckling vibration characteristics of composite pipes in thermal environment. Ocean Engineering, 243, 110267 (2022) |
| [35] | PAÏDOUSSIS, M. P. and ISSID, N. T. Dynamic stability of pipes conveying fluid. Journal of Sound and Vibration, 33(3), 267–294 (1974) |
| [36] | GUO, Y., ZHU, B., LI, J. A., and LI, Y. H. Nonlinear geometrically exact dynamics of hyperelastic pipes conveying fluid: comparative study of different hyperelastic models. Thin-Walled Structures, 205, 112526 (2024) |
| [37] | STANGL, M., GERSTMAYR, J., and IRSCHIK, H. A large deformation planar finite element for pipes conveying fluid based on the absolute nodal coordinate formulation. Journal of Computational and Nonlinear Dynamics, 4(3), 031009 (2009) |
| [38] | CHEN, W., ZHOU, K., WANG, L., and YIN, Z. P. Geometrically exact model and dynamics of cantilevered curved pipe conveying fluid. Journal of Sound and Vibration, 534, 117074 (2022) |
| [39] | LI, W., ZHAO, D., ZHANG, Q., ZHANG, X. C., YAO, L. M., and YUE, Q. B. Post-buckling loads of a horizontal pipe string with variable length. International Journal of Mechanical Sciences, 241, 107977 (2023) |
| [40] | PAÏDOUSSIS, M. P., SEMLER, C., WADHAM-GAGNON, M., and SAAID, S. Dynamics of cantilevered pipes conveying fluid, part 2: dynamics of the system with intermediate spring support. Journal of Fluids and Structures, 23(4), 569–587 (2007) |
| [41] | CHANG, X. P. and HONG, X. X. Stability and nonlinear vibration characteristics of cantilevered fluid-conveying pipe with nonlinear energy sink. Thin-Walled Structures, 205, 111987 (2024) |
| [42] | CAO, R. Q., WANG, Z. J., ZANG, J., and ZHANG, Y. W. Resonance response of fluid-conveying pipe with asymmetric elastic supports coupled to lever-type nonlinear energy sink. Applied Mathematics and Mechanics (English Edition), 43(12), 1873–1886 (2022) https://doi.org/10.1007/s10483-022-2925-8 |
| [43] | ZHU, B., CHEN, B., GUO, Y., and WANG, Y. Q. Analytical solutions for free and forced vibrations of elastically supported pipes conveying super-critical fluids. Acta Mechanica, 234(3), 831–853 (2023) |
| [44] | DING, H., JI, J. C., and CHEN, L. Q. Nonlinear vibration isolation for fluid-conveying pipes using quasi-zero stiffness characteristics. Mechanical Systems and Signal Processing, 121, 675–688 (2019) |
| [45] | IBRAHIM, R. A. Overview of mechanics of pipes conveying fluids — part I: fundamental studies. Journal of Pressure Vessel Technology, 132(3), 034001 (2010) |
| [46] | SUN, X. P., YAN, H., and DAI, H. L. Stability and dynamic evolution of sliding fluid-transporting pipes in three-dimensional sense. International Journal of Structural Stability and Dynamics, 20(3), 2050036 (2020) |
| [47] | DOU, B., DING, H., MAO, X. Y., WEI, S., and CHEN, L. Q. Dynamic modeling of fluid-conveying pipes restrained by a retaining clip. Applied Mathematics and Mechanics (English Edition), 44(8), 1225–1240 (2023) https://doi.org/10.1007/s10483-023-3016-9 |
| [48] | GUO, Z. L., NI, Q., CHEN, W., DAI, H. L., and WANG, L. Dynamic analysis and regulation of the flexible pipe conveying fluid with a hard-magnetic soft segment. Applied Mathematics and Mechanics (English Edition), 43(9), 1415–1430 (2022) https://doi.org/10.1007/s10483-022-2901-9 |
| [49] | TANG, Y., WANG, G., and DING, Q. Nonlinear fractional-order dynamic stability of fluid-conveying pipes constituted by the viscoelastic materials with time-dependent velocity. Acta Mechanica Solida Sinica, 35(5), 733–745 (2022) |
| [50] | FAN, J. M., YANG, Y. K., CHANG, X. P., and LI, Y. H. Semi-analytical solutions for forced and free vibration of damped fluid-conveying pipe systems based on complex modal superposition method. Applied Mathematical Modelling, 131, 717–736 (2024) |
| [51] | SHAO, Y. F. and DING, H. Evaluation of gravity effects on the vibration of fluid-conveying pipes. International Journal of Mechanical Sciences, 248, 108230 (2023) |
| [52] | LU, Z. Q., CHEN, J., DING, H., and CHEN, L. Q. Energy harvesting of a fluid-conveying piezoelectric pipe. Applied Mathematical Modelling, 107, 165–181 (2022) |
| [53] | ZANG, J., ZHANG, W. L., SONG, X. Y., ZHANG, Z., ZHANG, Y. W., and CHEN, L. Q. Nonlinear vibration control of interconnected functionally graded fluid-conveying pipeline. Applied Mathematical Modelling, 131, 691–716 (2024) |
| [54] | CHEN, W., YAN, H., CAO, R. Q., DAI, H. L., and WANG, L. Theoretical and experimental investigations on large-deformation dynamics of the standing cantilevered pipe conveying fluid. Mechanical Systems and Signal Processing, 220, 111688 (2024) |
| [55] | MA, H. W., JI, W. H., LIU, H. H., and SUN, W. Natural frequencies and stability for Z-shaped fluid-conveying pipes with constrained-layer damping — semi-analytic modeling with experimental validation. Mechanical Systems and Signal Processing, 214, 111404 (2024) |
| [56] | CHEN, S. S. Flow-induced in-plane instabilities of curved pipes. Nuclear Engineering and Design, 23(1), 29–38 (1972) |
| [57] | MISRA, A. K., PAÏDOUSSIS, M. P., and VAN, K. S. On the dynamics of curved pipes transporting fluid part I: inextensible theory. Journal of Fluids and Structures, 2(3), 221–244 (1988) |
| [58] | MISRA, A. K., PAÏDOUSSIS, M. P., and VAN, K. S. On the dynamics of curved pipes transporting fluid part II: extensible theory. Journal of Fluids and Structures, 2(3), 245–261 (1988) |
| [59] | CAO, R. Q., GUO, Z. L., CHEN, W., DAI, H. L., and WANG, L. Nonlinear dynamics of a circular curved cantilevered pipe conveying pulsating fluid based on the geometrically exact model. Applied Mathematics and Mechanics (English Edition), 45(2), 261–276 (2024) https://doi.org/10.1007/s10483-024-3084-7 |
| [60] | ZHOU, K., NI, Q., CHEN, W., DAI, H. L., HAGEDORN, P., and WANG, L. Static equilibrium configuration and nonlinear dynamics of slightly curved cantilevered pipe conveying fluid. Journal of Sound and Vibration, 490, 115711 (2021) |
| [61] | OYELADE, A. O. and OYEDIRAN, A. A. Nonlinear dynamics of horizontal pipes conveying two phase flow. European Journal of Mechanics A, 90, 104367 (2021) |
| [62] | YAN, H., LI, M. W., and WANG, L. Bifurcation and stability analysis of static equilibrium configuration of curved pipe conveying fluid. European Journal of Mechanics A, 97, 104813 (2023) |
| [63] | SHANBHAG, S. S., KRISHNA, I. R. P., and KUMAR, P. P. Effect of friction and obstruction on the dynamics of a curved pipe conveying fluid with fixed ends. Journal of Sound and Vibration, 573, 118194 (2024) |
| [64] | CZERWIŃSKI, A. Experimental study of parametric vibrations of arc-shaped tubes with pulsating fluid flow. Journal of Fluids and Structures, 125, 104062 (2024) |
| [65] | ESTRADA, A. O., HERNÁNDEZ, R. M., LIMA, R., and CROS, A. Multistability intermittency in an air-conveying soft tube. Communications in Nonlinear Science and Numerical Simulation, 82, 105057 (2020) |
| [66] | NI, Q., TANG, M., WANG, Y. K., and WANG, L. In-plane and out-of-plane dynamics of a curved pipe conveying pulsating fluid. Nonlinear Dynamics, 75(3), 603–619 (2014) |
| [67] | GUO, Z. L., NI, Q., CAO, R. Q., CHEN, W., DAI, H. L., and WANG, L. Large-amplitude vibrations of cantilevered pipe conveying fluid with arbitrary initial configuration in three-dimensional sense. Nonlinear Dynamics, 113(4), 3079–3096 (2025) |
| [68] | ZHOU, K., NI, Q., CHEN, W., DAI, H. L., PENG, Z. R., and WANG, L. New insight into the stability and dynamics of fluid-conveying supported pipes with small geometric imperfections. Applied Mathematics and Mechanics (English Edition), 42(5), 703–720 (2021) https://doi.org/10.1007/s10483-021-2729-6 |
| [69] | HUANG, Z. X., WEI, C. Y., DONG, L. N., WANG, A. Y., YAO, H. Y., GUO, Z. W., and MI, S. L. Fluid-driven hydrogel actuators with an origami structure. iScience, 25(7), 104674 (2022) |
| [70] | WANG, L., NI, Q., and HUANG, Y. Y. Dynamical behaviors of a fluid-conveying curved pipe subjected to motion constraints and harmonic excitation. Journal of Sound and Vibration, 306(3-5), 955–967 (2007) |
| [71] | CAO, R. Q., MA, D. L., CHEN, W., LI, M. W., DAI, H. L., and WANG, L. Multistable dynamic behaviors of cantilevered curved pipes conveying fluid. Journal of Fluids and Structures, 130, 104196 (2024) |
| [72] | CAO, R. Q., HE, Y. X., CHEN, W., DAI, H. L., and WANG, L. Actuations in direct-ink-writing based on continuum deformations of a flexible curved pipe conveying fluid. Mechanical Systems and Signal Processing, 235, 112899 (2025) |
| [73] | GUO, Z. L., NI, Q., ZHOU, X., YAN, H., CHEN, W., DAI, H. L., and WANG, L. Three-dimensional dynamics of supported pipe conveying fluid with arbitrary initial spatial shape. European Journal of Mechanics A, 104, 105196 (2024) |
| [74] | YUAN, J. R. and DING, H. Dynamic model of curved pipe conveying fluid based on the absolute nodal coordinate formulation. International Journal of Mechanical Sciences, 232, 107625 (2022) |
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