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Design of scaled model for dynamic characteristics of stiffened cylindrical shells based on equivalent similar method

Published online by Cambridge University Press:  05 April 2019

L. L. Zhou Open the ORCID record for L. L. Zhou [Opens in a new window]  and
D. K. Li
L. L. Zhou*
Affiliation:
National University of Defense Technology, Hunan, China
D. K. Li
Affiliation:
National University of Defense Technology, Hunan, China
*
*zllftx2008@163.com
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Abstract

Scaled model test is an effective means to verify the design of a stiffened cylindrical shell. However, there is a problem of similarity distortion by use of the traditional dimensional analysis to design scaled models. In this present study, an equivalent similar method is proposed to solve the problem. The method is applied to an axial stiffened cylindrical shell, and the equivalent criteria and scaling laws satisfying the equivalent similarity of global bending mode are derived and verified by numerical examples. The results indicate that the similarity distortion caused by practical conditions for the stiffened cylindrical shell can be solved and the parameters of scaled model can be designed more freely with the proposed equivalent similar method.

Keywords

AerodynamicsSimilitude theoryScaled modelStiffened cylindrical shell
Type
Research Article
Information
The Aeronautical Journal , Volume 123 , Issue 1261 , March 2019 , pp. 398 - 415
Copyright
© Royal Aeronautical Society 2019 

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References

1. Coutinho, C.P., Baptista, A.J. and Dias Rodrigues, J. Reduced scale models based on similitude theory: a review up to 2015, Engineering Structures, 2016, 119, pp 81–94.Google Scholar
2. Krayterman, B. and Sabnis, G.M. Similitude theory: plates and shells analysis, J Engineering Mechanics, 1984, 110, (9), pp 1247–1263.Google Scholar
3. Morgen, G.W. Scaling techniques for orthotropic cylindrical aerospace structures, 5th Annual Structures and Materials Conference, Downey, California, US, 1964, pp 333–343.Google Scholar
4. Soedel, W. Similitude approximations for vibrating thin shells, J Acoustical Society of America, 1971, 48, (5B), pp 1535–1541.Google Scholar
5. Chouchaoui, C.S. and Ochoa, O.O. Similitude study for a laminated cylindrical tube under tensile, torsion, bending, internal and external pressure, Part I: governing equations. Composite Structures , 1999, 44, (4), pp 221–229.Google Scholar
6. Torkamani, S., Navazi, H.M., Jafari, A.A., et al. Structural similitude in free vibration of orthogonally stiffened cylindrical shells, Thin-Walled Structures, 2009, 47, (11), pp 1316–1330.Google Scholar
7. Yazdi, A.A. and Rezaeepazhand, J. Applicability of small-scale models in prediction flutter pressure of delaminated composite beam-plates, Int J Damage Mechanics, 2013, 22, (4), pp 590–601.Google Scholar
8. Yazdi, A.A. and Rezaeepazhand, J. Accuracy of scale models for flutter prediction of cross-ply laminated plates, J Reinforced Plastics and Composites, 2011, 30, (30), pp 45–52.Google Scholar
9. Yazdi, A.A. and Rezaeepazhand, J. Structural similitude for flutter of delaminated composite beam-plates, Composite Structures, 2011, 93, (7), pp 1918–1922.Google Scholar
10. Rezaeepazhand, J. and Yazdi, A.A. Structural similitude for vibration of delaminated composite beam-plates, Key Engineering Materials, 2009, 417-418, (7), pp 749–752.Google Scholar
11. Rezaeepazhand, J. and Wisnom, M.R. Scaled models for predicting buckling of delaminated orthotropic beam-plates, Composite Structures, 2009, 90, (1), pp 87–91.Google Scholar
12. Ferro, V. Deducing a drain spacing formula by applying dimensional analysis and self-similarity theory, J Irrigation and Drainage Engineering, 2016, 142, (4), pp 04016004.Google Scholar
13. Caraballo-Arias, N.A., Conoscenti, C., Stefano, C.D., et al. A new empirical model for estimating calanchi Erosion in Sicily, Italy, Geomorphology, 2015, 231: 292–300.Google Scholar
14. Ferro, V. Deducing the USLE mathematical structure by dimensional analysis and self-similarity theory, Biosystems Engineering, 2010, 106, (2), pp 216–220.Google Scholar
15. Capra, A., Stefano, C.D., Ferro, V., et al. Similarity between morphological characteristics of rills and ephemeral gullies in Sicily, Italy, Hydrological Processes, 2010, 23, (23), pp 3334–3341.Google Scholar
16. Zohuri B. 2015. Dimensional Analysis and Self-similarity Methods for Engineers and Scientists, Springer International Publishing. https://doi.org/10.1007/978-3-319-13476-5.Google Scholar
17. Luo, Z., Zhu, Y.P., Zhao, X.Y., et al. Determination method of dynamic distorted scaling laws and applicable structure size intervals of a rotating thin-wall short cylindrical shell, ARCHIVE Proceedings of the Institution of Mech Engineers Part C J Mech Engineering Sci 1989-1996 (vols 203–210), 2014, 229, (5), pp 806–817.Google Scholar
18. Luo, Z., Zhu, Y.P., Chen, X.B., et al. Determination method of the structure size intervals of dynamic distorted model of elastic cantilever thin plate, Adv Mech Engineering, 2014, (6), pp 1–10.Google Scholar
19. Zhu, Y.B., Luo, Z., Zhao, X.Y., et al. Determination method of the structure size interval of dynamically similar models for predicting vibration characteristics of the coated thin plates, ARCHIVE Proceedings of the Institution of Mech Engineers Part C J Mech Engineering Sci, 2015, 229, (1), pp 59–68.Google Scholar
20. Rosa, S.D. and Franco, F. Analytical similitudes applied to thin cylindrical shells, Advances in aircraft and spacecraft science. 2015, 2, (4), pp 403–425.Google Scholar
21. Cho, U. Online functional testing with rapid prototypes: a novel empirical similarity method, Rapid Prototyping J, 1998, 4, (3), pp 128–138.Google Scholar
22. Tadepalli, S. and Wood, K.L. Empirical similarity analysis using adaptive trigonometric functions. ASME 2009 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. 2009, 777–787.Google Scholar
23. Dutson, A.J. and Wood, K.L. Using rapid prototypes for functional evaluation of evolutionary product designs, Rapid Prototyping J, 2005, 11, (3), pp 125–131.Google Scholar
24. Cho, U., Dutson, A.J., Wood, K.L., et al. An advanced method to correlate scale models with distorted configurations, J Mech Design, 2005, 127, (1), pp 78–85.Google Scholar
25. Tadepalli, S. and Wood, K.L. Adaptive methods for non-linear empirical similitude method, ASME 2008 Int Mech Engineering Congress and Exposition, 2008, 14, 145–155.Google Scholar
26. Craig R. R., Kurdila A. J. Fundamentals of Structural Dynamics, John Wiley & Sons, Inc., 2006, Hoboken, New Jersey, US. ISBN: 9780471430445..Google Scholar
27. Xing, Y.F., Pan, Z.W. and Yang, Y. Three solution models of lateral frequencies of stiffening cylindrical shell, J Beijing University of Aeronautics and Astronautics, 2012, 38, (4), pp 438–443.Google Scholar
28. Kuneš J. (2012) Similarity and Modeling in Science and Engineering. Cambridge International Science Publishing, Cambridge, England. https://doi.org/10.1007/978-1-907343-78-0.Google Scholar