This chapter focus on numerical crashworthiness analysis of straight thinwalled columns with octagonal cross sections. Two important issues in this analysis are demonstrated here: computer modeling and crashworthiness design. In the first part, this chapter introduces a method of developing simplified finite element (FE) models for the straight thin-walled octagonal columns, which can be used for the numerical crashworthiness analysis. Next, this chapter performs a crashworthiness design for such thin-walled columns in order to maximize their energy absorption capability. Specific energy absorption (SEA) is set as the design objective, side length of the octagonal cross section and wall thickness are selected as design variables, and maximum crushing force (Pm) occurs during crashes is set as design constraint. Response surface method (RSM) is employed to formulate functions for both SEA and Pm.
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References
T. Wierzbicki, W. Abramowicz, ‘On the Crushing Mechanisms of Thin-walled Structures’,Journal of Applied Mechanisms, Vol. 50 (1983) pp. 727–734
W. Abramowicz, ‘Simplified Crushing Analysis of Thin-walled Columns and Beams’ Rozprawy Inzynierskie,Engineering Transactions, Vol. 29, No. 1 (1981) pp. 5–26
D. Kecman, ‘Bending Collapse of Rectangular and Square Section Tubes’,Internationa Journal of Mechanical Science, Vol. 25, No. 9–10 (1983) pp. 623–636
T. Wierzbicki, L. Recke, W. Abramowicz, and T. Gholami ‘Stress Profiles in Thin-walled Prismatic Columns Subjected to Crush Loading – I. Compression’,Computers & StructureVol. 51, No. 6 (1994) pp. 611–623
T. Wierzbicki, L. Recke, W. Abramowicz, T. Gholami, and J. Huang. ‘Stress Profiles in Thin walled Prismatic Columns Subjected to Crush Loading – II. Bending’,Computers & Struc ture, Vol. 51, No. 6 (1994) pp. 623–641
W. Abramowicz, T. Wierzbicki, ‘Axial Crushing of Multicorner Sheet Metal Columns’,Jour nal of Applied Mechanisms, Vol. 53 (1989) pp. 113–120
W. Abramowicz and N. Jones, ‘Dynamic Progressive Buckling of Circular and Square Tubes’International Journal of Impact Engineering, Vol. 4, No. 4 (1986) pp. 243–270
A. Mamalis, D. Manolakos, M. Loannidis, and P. Kostazos, ‘Bending of Cylindrical Stee Tubes: Numerical Modelling’,International Journal of Crashworthiness, Vol. 11, No. 1 (2006) pp. 37–47
Y-C. Liu, M. L. Day, ‘Bending Collapse of Thin-Walled Beams with Channel Cross-Section’International Journal of Crashworthiness, Vol. 11, No. 3 (2006) pp. 251–262
A. Mamalis, D. Manolakos, and A. Baldoukas, ‘Energy Dissipation and Associated Failure Modes When Axially Loading Polygonal Thin-Walled Cylinder’,Thin-Walled Structures, Vol 12 (1991) pp. 17–34
A. Mamalis, D. Manolakos, M. Loannidis, P. Kostazos, and C. Dimitriou, ‘Finite Elemen Simulation of the Axial Collapse of Metallic Thin-Walled Tubes with Octagonal Cross Section’,Thin-Walled Structures, Vol. 41 (2003) pp. 891–900
H. S. Kim, S. Y. Kang, I. H. Lee, S. H. Park, and D. C. Han. ‘Vehicle Frontal Crashworthi ness Analysis by Simplified Structure Modeling using Nonlinear Spring and Beam Elements’International Journal of Crashworthiness, Vol. 2, No. 1 (1997) pp. 107–117
P. Drazetic, E. Markiewicz, and Y. Ravalard, ‘Application of Kinematic Models to Com pression and Bending in Simplified Crash Calculation’,International Journal of Mechanica Science, Vol. 35, No. 3/4 (1993) pp. 179–191
Y. C. Liu, M. L. Day, ‘Simplified Modeling of Thin-Walled Box Section Beam’,Internationa Journal of Crashworthiness, Vol. 11, No. 3 (2006) 263–272
J. Hallquist, ‘LS-DYNA 3D: Theoretical Manual’, Livermore Software Technology Corporation, Livermore, CA, 1993
Y. C. Liu, M. L.Day, ‘Development of Simplified Thin-Walled Beam Models for Crashworthiness Analyses’,International Journal of Crashworthiness, Vol. 12, No. 6 (2007) pp. 597–608
S. J. Hou, Q. Li, S. Y. Long, X. J. Yang, and W. Li, ‘Design Optimization of Regular Hexagonal Thin-Walled Columns with Crashworthiness Criteria’,Finite Elements in Analysis and Design, Vol. 43 (2007) pp. 555–565
R. H. Myers, D. C. Montgomery, ‘Response Surface Methodology’, Wiley, New York, 2002
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Liu, Y., Day, M.L. (2009). Axial Crushing of Thin-Walled Columns with Octagonal Section: Modeling and Design. In: Ao, SI., Rieger, B., Chen, SS. (eds) Advances in Computational Algorithms and Data Analysis. Lecture Notes in Electrical Engineering, vol 14. Springer, Dordrecht. https://doi.org/10.1007/978-1-4020-8919-0_25
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