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Received: 2008-03-06

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Crosschecked: 2008-10-29

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Journal of Zhejiang University SCIENCE A 2009 Vol.10 No.1 P.44-53


Concept modeling of tapered thin-walled tubes

Author(s):  Yu-cheng LIU, Michael L. DAY

Affiliation(s):  Department of Mechanical Engineering, University of Louisville, Louisville, KY 40292, USA

Corresponding email(s):   y0liu002@louisville.edu

Key Words:  Tapered tube, Concept model, Axial crushing, Impact analysis, Beam element, Spring element

Yu-cheng LIU, Michael L. DAY. Concept modeling of tapered thin-walled tubes[J]. Journal of Zhejiang University Science A, 2009, 10(1): 44-53.

@article{title="Concept modeling of tapered thin-walled tubes",
author="Yu-cheng LIU, Michael L. DAY",
journal="Journal of Zhejiang University Science A",
publisher="Zhejiang University Press & Springer",

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%T Concept modeling of tapered thin-walled tubes
%A Yu-cheng LIU
%A Michael L. DAY
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%I Zhejiang University Press & Springer
%DOI 10.1631/jzus.A0820159

T1 - Concept modeling of tapered thin-walled tubes
A1 - Yu-cheng LIU
A1 - Michael L. DAY
J0 - Journal of Zhejiang University Science A
VL - 10
IS - 1
SP - 44
EP - 53
%@ 1673-565X
Y1 - 2009
PB - Zhejiang University Press & Springer
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DOI - 10.1631/jzus.A0820159

This paper presents a method to create concept models for the tapered thin-walled tubes using beam elements and spring elements. Developed concept tapered beam models with different taper angles and cross sections are compared with those detailed models through impact analyses. Important crash results are recorded and compared, and the relatively good agreement is achieved between these analyses. concept modeling steps are illustrated in detail, and a general concept modeling method for such thin-walled tubes is summarized and presented.

Darkslateblue:Affiliate; Royal Blue:Author; Turquoise:Article


[1] Abramowicz, W., Jones, N., 1986. Dynamic progressive buckling of circular and square tubes. International Journal of Impact Engineering, 4(4):243-270.

[2] Abramowicz, W., Wierzbicki, T., 1989. Axial crushing of multi-corner sheet metal columns. Journal of Applied Mechanics, 50:727-734.

[3] Goldfeld, Y., Arbocz, J., Rothwell, A., 2005. Design and optimization of laminated conical shells for buckling. Thin-Walled Structures, 43(1):107-133.

[4] Gupta, N.K., Sheriff, N.M., Velmurugan, R., 2006. A study on buckling of thin conical frusta under axial loads. Thin-Walled Structures, 44(9):986-996.

[5] Hallquist, J., 1993. LS-DYNA 3D: Theoretical Manual. Livermore Software Technology Corporation.

[6] Karagiozova, D., Jones, N., 2004. Dynamic buckling of elastic-plastic square tubes under axial impact—II: Structural response. International Journal of Impact Engineering, 30(2):167-192.

[7] Karagiozova, D., Jones, N., 2008. On the mechanics of the global bending collapse of circular tubes under dynamic axial load—Dynamic buckling transition. International Journal of Impact Engineering, 35(5):397-424.

[8] Lee, B.K., Oh, S.J., 2000. Elastica and buckling load of simple tapered columns with constant volume. International Journal of Solids and Structures, 37(18):2507-2518.

[9] Liao, M.M., Zhong, H.Z., 2008. Nonlinear vibration analysis of tapered timoshenko beams. Chaos, Solitons & Fractals, 36(5):1267-1272.

[10] Liu, Y.C., 2008. Improved concept models for straight thin-walled columns with box cross section. Journal of Zhejiang University SCIENCE A, 9(11):1473-1479.

[11] Liu, Y.C., Day, M.L., 2006. Simplified modeling of thin-walled box section beam. International Journal of Crashworthiness, 11(3):263-272.

[12] Nagel, G.M., Thambiratnam, D.P., 2005. Computer simulation and energy absorption of tapered thin-walled rectangular tubes. Thin-Walled Structures, 43(8):1225-1242.

[13] Paavola, J., Salonen, E.M., 1999. Strain and stress analysis of a curved tapered beam model. Computers & Structures, 72(4-5):565-577.

[14] Pasquino, M., Marotti de Sciarra, F., 1992. Buckling of thin-walled beams with open and generically variable section. Computers & Structures, 44(4):843-849.

[15] Prater, G., Azzouz, M., Furman, V., Shahhosseini, A., State, M., 2002. Use of FEA Concept Models to Develop Light-truck Cab Architectures with Reduced Weight and Enhanced NVH Characteristics. SAE Paper No. 2002-01-0369.

[16] Prater, G., Kuo, E., Furman, V., Shahhosseini, A., Mehta, P., 2005. Finite Element Concept Models for Vehicle Architecture Assessment and Optimization. SAE Paper No. 2005-01-1400.

[17] Reid, S.R., Reddy, T.Y., 1986. Static and dynamic crushing of tapered sheet metal tubes of rectangular cross-section. International Journal of Mechanical Science, 28(9):623-637.

[18] Wang, C.M., Reddy, J.N., Lee, K.H., 2000. Tapered Beams. Shear Deformable Beams and Plates, p.77-86.

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