Three-dimensional vibration analysis of curved pipes conveying fluid by straight pipe-curve fluid element
•The straight pipe-curve fluid theory is proposed to analyze the three-dimensional vibration of curved pipes conveying fluid.•The straight pipe-curve fluid element is established based on straight pipe-curve fluid theory.•The coupling vibration mechanism between in-plane and out-of-plane motion of t...
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| Published in | Applied mathematical modelling Vol. 121; pp. 270 - 303 |
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| Main Authors | , , , |
| Format | Journal Article |
| Language | English |
| Published |
Elsevier Inc
01.09.2023
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| Subjects | |
| Online Access | Get full text |
| ISSN | 0307-904X |
| DOI | 10.1016/j.apm.2023.05.002 |
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| Abstract | •The straight pipe-curve fluid theory is proposed to analyze the three-dimensional vibration of curved pipes conveying fluid.•The straight pipe-curve fluid element is established based on straight pipe-curve fluid theory.•The coupling vibration mechanism between in-plane and out-of-plane motion of the curved pipe conveying fluid is revealed.
A three-dimensional straight pipe-curve fluid theory is developed for the modeling of pipes conveying fluids with arbitrary configurations, and the corresponding finite-elements-based numerical approach to the nonlinear dynamics of curved pipes is proposed. Initially, the theoretical model of a straight pipe-curve fluid system is built along with its corresponding finite element. Subsequently, this proposed methodology is tested by conveying fluids through semicircular curved pipes. Coupling vibration mechanisms between in-plane and out-of-plane systems are explored. Finally, the influence of non-linear terms related to internal forces on the vibrations of curved pipes conveying fluid is discussed to simplify the theoretical model. The results provide useful insights into the subject matter: (i) The three-dimensional straight pipe-curve fluid element proposed is effective in analyzing the vibration behavior of curved pipe conveying fluid; (ii) When the parameter vibration of the out-plane frequency occurs and the pulsation frequency is about two-thirds of the out-plane second natural frequency, the in-plane and out-of-plane vibrations couple with the beat frequency; (iii) When combined vibration of out-plane first and second natural frequencies occur, in-plane and out-of-plane vibrations coupled with the out-plane first natural frequency; (iv) The main factors causing out-of-plane and coupling vibration of in-plane and out-of-plane systems are nonlinear terms related to axial force and in-plane transverse force. |
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| AbstractList | •The straight pipe-curve fluid theory is proposed to analyze the three-dimensional vibration of curved pipes conveying fluid.•The straight pipe-curve fluid element is established based on straight pipe-curve fluid theory.•The coupling vibration mechanism between in-plane and out-of-plane motion of the curved pipe conveying fluid is revealed.
A three-dimensional straight pipe-curve fluid theory is developed for the modeling of pipes conveying fluids with arbitrary configurations, and the corresponding finite-elements-based numerical approach to the nonlinear dynamics of curved pipes is proposed. Initially, the theoretical model of a straight pipe-curve fluid system is built along with its corresponding finite element. Subsequently, this proposed methodology is tested by conveying fluids through semicircular curved pipes. Coupling vibration mechanisms between in-plane and out-of-plane systems are explored. Finally, the influence of non-linear terms related to internal forces on the vibrations of curved pipes conveying fluid is discussed to simplify the theoretical model. The results provide useful insights into the subject matter: (i) The three-dimensional straight pipe-curve fluid element proposed is effective in analyzing the vibration behavior of curved pipe conveying fluid; (ii) When the parameter vibration of the out-plane frequency occurs and the pulsation frequency is about two-thirds of the out-plane second natural frequency, the in-plane and out-of-plane vibrations couple with the beat frequency; (iii) When combined vibration of out-plane first and second natural frequencies occur, in-plane and out-of-plane vibrations coupled with the out-plane first natural frequency; (iv) The main factors causing out-of-plane and coupling vibration of in-plane and out-of-plane systems are nonlinear terms related to axial force and in-plane transverse force. |
| Author | Tao, Jing Yang, Yiren Li, Yundong Wen, Huabin |
| Author_xml | – sequence: 1 givenname: Huabin surname: Wen fullname: Wen, Huabin email: sichuanwhb@sina.com organization: School of Mechanics and Aerospace Engineering, Southwest Jiaotong University, Chengdu, Sichuan 611756, China – sequence: 2 givenname: Yiren surname: Yang fullname: Yang, Yiren organization: School of Mechanics and Aerospace Engineering, Southwest Jiaotong University, Chengdu, Sichuan 611756, China – sequence: 3 givenname: Yundong surname: Li fullname: Li, Yundong organization: School of Mathematics and Statistics, Sichuan University of Science and Engineering, Zigong, Sichuan 643000, China – sequence: 4 givenname: Jing surname: Tao fullname: Tao, Jing organization: School of Mechanical Engineering, Sichuan University of Science and Engineering, Zigong, Sichuan 643000, China |
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| Keywords | Finite element method Straight pipe-curve fluid element Curved pipe conveying fluid Fluid-structure interaction Three-dimensional vibration |
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| SubjectTerms | Curved pipe conveying fluid Finite element method Fluid-structure interaction Straight pipe-curve fluid element Three-dimensional vibration |
| Title | Three-dimensional vibration analysis of curved pipes conveying fluid by straight pipe-curve fluid element |
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