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[1] Dunlap, P.H., Steinetz, B.M. & Curry, D.M., Rudder/fin seal investigations for the X-38 re-entry vehicle. 36th Joint Propulsion Conference and Exhibit cosponsored by AIAA/ASME/SAE/ASEE, 2000.
[2] Fern, A.G., Mason-Jones, A., Pham, D.T. & Wang, J., Finite element analysis of a valve stem seal. International Congress & Exposition, 1998.
[3] Kun, L., Liming, Y., Zhaoshan, W. & Chunyang, W., Study on face deformation of mechanical seal. Lubrication Engineering, 2001.
[4] Nikas, G.K., Elastohydrodynamics and mechanics of rectangular elastomeric seals for reciprocating piston rods. Journal of Tribology, 125(1), pp. 60–69, 2003. https://doi. org/10.1115/1.1506316
[5] Nikas, G.K., Transient elastohydrodynamic lubrication of rectangular elastomeric seals for linear hydraulic actuators. ARCHIVE Proceedings of the Institution of Mechanical Engineers Part J Journal of Engineering Tribology 1994–1996 (vols 208–210), 217(6), pp. 461–473, 2003. [Crossref]
[6] Nikas, G.K. & Sayles, R.S., Nonlinear elasticity of rectangular elastomeric seals and its effect on elastohydrodynamic numerical analysis. Tribology International, 37(3), pp. 651–660, 2004. [Crossref]
[7] Nikas, G.K. & Sayles, R.S., Study of leakage and friction of flexible seals for steady motion via a numerical approximation method. Tribology International, 39(9), pp. 921–936, 2006. [Crossref]
[8] Nikas, G.K., Eighty years of research on hydraulic reciprocating seals: Review of tri-bological studies and related topics since the 1930s. Proceedings of the Institution of Mechanical Engineers, Part J: Journal of Engineering Tribology, 224(1), pp. 1–23, 2010. [Crossref]
[9] Guo-ding, C., Haiser, H., Haas, W. & Lechner, G., Analysis of elastomeric o-ring seals using the Finite Element Method. Mechanical Science and Technology, 19(5), pp. 740–741, 2000.
[10] Guo-ding, C., Haiser, H., Haas, W. & Lechner, G., Study of mechanical performances of step seals. Mechanical Science and Technology, 19(6), pp. 920–922, 2000.
[11] Gao, X.-W., Li, Z.-Y., Yang, K., Lv, J., Peng, H.-F., Cui, M., Ruan, B. & Zhu, Q.-H., Element differential method and its application in thermal-mechanical problems. Inter-national Journal for Numerical Methods in Engineering, 113(1), pp. 82–108, 2018. [Crossref]
[12] Gao, X.-W., Huang, S.-Z., Cui, M., Ruan, B., Zhu, Q.-H., Yang, K., Lv, J. & Peng, H.-F., Element differential method for solving general heat conduction problems. Inter-national Journal of Heat and Mass Transfer, 115(B), pp. 882–894, 2017. https://doi. org/10.1016/j.ijheatmasstransfer.2017.08.039
[13] Gao, X.-W., Liu, H.-Y., Xu, B.-B., Cui, M. & Lv, J., Element differential method with the simplest quadrilateral and hexahedron quadratic elements for solving heat conduc-tion problems. Numerical Heat Transfer Part B-Fundamentals, 73(4), pp. 206–224, 2018. [Crossref]
[14] Cui, M., Xu, B.-B., Lv, J., Gao, X.-W. & Zhang, Y.W., Numerical solution of multi-dimensional transient nonlinear heat conduction problems with heat sources by an extended element differential method. International Journal of Heat and Mass Transfer, 126(A), pp. 1111–1119, 2018. [Crossref]
[15] Yang, K., Jiang, G.-H., Li, H.-Y., Zhang, Z.-B. & Gao, X.-W., Element differential method for solving transient heat conduction problems. International Journal of Heat and Mass Transfer, 127, pp.1189–1197, 2018. [Crossref]
[16] Gao, X.-W., Liu, H.-Y., Lv, J. & Cui, M., A novel element differential method for solid mechanical problems using isoparametric triangular and tetrahedral elements. Com-puters & Mathematics with Applications, 78(11), pp. 3563–3585, 2019. https://doi. org/10.1016/j.camwa.2019.05.026
[17] Lv, J., Son, C. & Gao, X.-W., Element differential method for free and forced vibration analysis for solids. International Journal of Mechanical Sciences, 151, pp. 828–841, 2019. [Crossref]
[18] Lv, J., Shao, M.-J., Cui, M. & Gao, X.-W., An efficient collocation approach for piezo-electric problems based on the element differential method. Composite Structures, 230(111483), 2019. [Crossref]
[19] Gao, X.-W., Zheng, Y.-T. & Fantuzzi, N., Local least–squares element differential method for solving heat conduction problems in composite structures. Numerical Heat Transfer, Part B: Fundamentals, 77(6), pp. 441–460, 2020. 407790.2020.1746584 [Crossref]
[20] Zheng, Y.-T., Gao, X.-W., Lv, J. & Peng, H.-F., Weak-form element differential method for solving mechanics and heat conduction problems with abruptly changed boundary conditions. International Journal for Numerical Methods in Engineering, 121(16), pp. 3722–3741, 2020. [Crossref]
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Open Access
Research article

Multi-Physics Coupling Analysis of Rope-Sealed Structures with Braided Ceramic Fibres by Element Differential Method

Yongtong Zheng1,
Xiaowei Gao1,
Sheng Liu2,
Yanjing Man2,
Kai Yang1
1
State Key Laboratory of Structural Analysis for Industrial Equipment, Dalian University of Technology, China
2
Science and Technology on Scramjet Laboratory, Beijing Power Machinery Institute, China
International Journal of Computational Methods and Experimental Measurements
|
Volume 9, Issue 2, 2021
|
Pages 153-164
Received: N/A,
Revised: N/A,
Accepted: N/A,
Available online: N/A
View Full Article|Download PDF

Abstract:

With the rapid development of hypersonic vehicles in recent years, high-temperature seal technology has become more and more essential. Recently, a rope-sealed structure with braided ceramic fibres has been designed for hypersonic vehicles. The ceramic fibres in the structure have the characteristics of high temperature strength, so that they make the sealed structure suitable for working under a high temperature. Meanwhile, when subjected to an external force, braided fibres can produce a buffer force at the ceramic interface, so that it can maintain the good performance of the whole sealed structure. But up to now, only a few researches have been conducted on this kind of structures. In this paper, a simplified thermal–mechanical seepage coupling model is proposed to simulate the complicated physical process for this kind of structures. Meanwhile, a new numerical method called element differential method (EDM) is used to calculate the coupling problem because it has great advantages in solving multi-physics coupling problems. What is more, some experiments are used to obtain the leakages when the sealed structure is under service. And finally, by referring the experimental results, the authors establish a series of material parameter relationships for the sealed structure and also verify the reasonability of the proposed multi-physics coupling model.

Keywords: Braided ceramic fibre rope, Element differential method, Hypersonic vehicle, Sealed structure, Seepage problem

Data Availability

The data used to support the findings of this study are available from the corresponding author upon request.

Conflicts of Interest

The authors declare that they have no conflicts of interest.

References
[1] Dunlap, P.H., Steinetz, B.M. & Curry, D.M., Rudder/fin seal investigations for the X-38 re-entry vehicle. 36th Joint Propulsion Conference and Exhibit cosponsored by AIAA/ASME/SAE/ASEE, 2000.
[2] Fern, A.G., Mason-Jones, A., Pham, D.T. & Wang, J., Finite element analysis of a valve stem seal. International Congress & Exposition, 1998.
[3] Kun, L., Liming, Y., Zhaoshan, W. & Chunyang, W., Study on face deformation of mechanical seal. Lubrication Engineering, 2001.
[4] Nikas, G.K., Elastohydrodynamics and mechanics of rectangular elastomeric seals for reciprocating piston rods. Journal of Tribology, 125(1), pp. 60–69, 2003. https://doi. org/10.1115/1.1506316
[5] Nikas, G.K., Transient elastohydrodynamic lubrication of rectangular elastomeric seals for linear hydraulic actuators. ARCHIVE Proceedings of the Institution of Mechanical Engineers Part J Journal of Engineering Tribology 1994–1996 (vols 208–210), 217(6), pp. 461–473, 2003. [Crossref]
[6] Nikas, G.K. & Sayles, R.S., Nonlinear elasticity of rectangular elastomeric seals and its effect on elastohydrodynamic numerical analysis. Tribology International, 37(3), pp. 651–660, 2004. [Crossref]
[7] Nikas, G.K. & Sayles, R.S., Study of leakage and friction of flexible seals for steady motion via a numerical approximation method. Tribology International, 39(9), pp. 921–936, 2006. [Crossref]
[8] Nikas, G.K., Eighty years of research on hydraulic reciprocating seals: Review of tri-bological studies and related topics since the 1930s. Proceedings of the Institution of Mechanical Engineers, Part J: Journal of Engineering Tribology, 224(1), pp. 1–23, 2010. [Crossref]
[9] Guo-ding, C., Haiser, H., Haas, W. & Lechner, G., Analysis of elastomeric o-ring seals using the Finite Element Method. Mechanical Science and Technology, 19(5), pp. 740–741, 2000.
[10] Guo-ding, C., Haiser, H., Haas, W. & Lechner, G., Study of mechanical performances of step seals. Mechanical Science and Technology, 19(6), pp. 920–922, 2000.
[11] Gao, X.-W., Li, Z.-Y., Yang, K., Lv, J., Peng, H.-F., Cui, M., Ruan, B. & Zhu, Q.-H., Element differential method and its application in thermal-mechanical problems. Inter-national Journal for Numerical Methods in Engineering, 113(1), pp. 82–108, 2018. [Crossref]
[12] Gao, X.-W., Huang, S.-Z., Cui, M., Ruan, B., Zhu, Q.-H., Yang, K., Lv, J. & Peng, H.-F., Element differential method for solving general heat conduction problems. Inter-national Journal of Heat and Mass Transfer, 115(B), pp. 882–894, 2017. https://doi. org/10.1016/j.ijheatmasstransfer.2017.08.039
[13] Gao, X.-W., Liu, H.-Y., Xu, B.-B., Cui, M. & Lv, J., Element differential method with the simplest quadrilateral and hexahedron quadratic elements for solving heat conduc-tion problems. Numerical Heat Transfer Part B-Fundamentals, 73(4), pp. 206–224, 2018. [Crossref]
[14] Cui, M., Xu, B.-B., Lv, J., Gao, X.-W. & Zhang, Y.W., Numerical solution of multi-dimensional transient nonlinear heat conduction problems with heat sources by an extended element differential method. International Journal of Heat and Mass Transfer, 126(A), pp. 1111–1119, 2018. [Crossref]
[15] Yang, K., Jiang, G.-H., Li, H.-Y., Zhang, Z.-B. & Gao, X.-W., Element differential method for solving transient heat conduction problems. International Journal of Heat and Mass Transfer, 127, pp.1189–1197, 2018. [Crossref]
[16] Gao, X.-W., Liu, H.-Y., Lv, J. & Cui, M., A novel element differential method for solid mechanical problems using isoparametric triangular and tetrahedral elements. Com-puters & Mathematics with Applications, 78(11), pp. 3563–3585, 2019. https://doi. org/10.1016/j.camwa.2019.05.026
[17] Lv, J., Son, C. & Gao, X.-W., Element differential method for free and forced vibration analysis for solids. International Journal of Mechanical Sciences, 151, pp. 828–841, 2019. [Crossref]
[18] Lv, J., Shao, M.-J., Cui, M. & Gao, X.-W., An efficient collocation approach for piezo-electric problems based on the element differential method. Composite Structures, 230(111483), 2019. [Crossref]
[19] Gao, X.-W., Zheng, Y.-T. & Fantuzzi, N., Local least–squares element differential method for solving heat conduction problems in composite structures. Numerical Heat Transfer, Part B: Fundamentals, 77(6), pp. 441–460, 2020. 407790.2020.1746584 [Crossref]
[20] Zheng, Y.-T., Gao, X.-W., Lv, J. & Peng, H.-F., Weak-form element differential method for solving mechanics and heat conduction problems with abruptly changed boundary conditions. International Journal for Numerical Methods in Engineering, 121(16), pp. 3722–3741, 2020. [Crossref]

Cite this:
APA Style
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BibTex Style
MLA Style
Chicago Style
GB-T-7714-2015
Zheng, Y. T., Gao, X. W., Liu, S., Man, Y. J., & Yang, K. (2021). Multi-Physics Coupling Analysis of Rope-Sealed Structures with Braided Ceramic Fibres by Element Differential Method. Int. J. Comput. Methods Exp. Meas., 9(2), 153-164. https://doi.org/10.2495/CMEM-V9-N2-153-164
Y. T. Zheng, X. W. Gao, S. Liu, Y. J. Man, and K. Yang, "Multi-Physics Coupling Analysis of Rope-Sealed Structures with Braided Ceramic Fibres by Element Differential Method," Int. J. Comput. Methods Exp. Meas., vol. 9, no. 2, pp. 153-164, 2021. https://doi.org/10.2495/CMEM-V9-N2-153-164
@research-article{Zheng2021Multi-PhysicsCA,
title={Multi-Physics Coupling Analysis of Rope-Sealed Structures with Braided Ceramic Fibres by Element Differential Method},
author={Yongtong Zheng and Xiaowei Gao and Sheng Liu and Yanjing Man and Kai Yang},
journal={International Journal of Computational Methods and Experimental Measurements},
year={2021},
page={153-164},
doi={https://doi.org/10.2495/CMEM-V9-N2-153-164}
}
Yongtong Zheng, et al. "Multi-Physics Coupling Analysis of Rope-Sealed Structures with Braided Ceramic Fibres by Element Differential Method." International Journal of Computational Methods and Experimental Measurements, v 9, pp 153-164. doi: https://doi.org/10.2495/CMEM-V9-N2-153-164
Yongtong Zheng, Xiaowei Gao, Sheng Liu, Yanjing Man and Kai Yang. "Multi-Physics Coupling Analysis of Rope-Sealed Structures with Braided Ceramic Fibres by Element Differential Method." International Journal of Computational Methods and Experimental Measurements, 9, (2021): 153-164. doi: https://doi.org/10.2495/CMEM-V9-N2-153-164
ZHENG Y T, GAO X W, LIU S, et al. Multi-Physics Coupling Analysis of Rope-Sealed Structures with Braided Ceramic Fibres by Element Differential Method[J]. International Journal of Computational Methods and Experimental Measurements, 2021, 9(2): 153-164. https://doi.org/10.2495/CMEM-V9-N2-153-164