Abstract
The paper presents new Object Oriented Formulation of the FE algorithm that encompasses traditional FE, Super Element, experimental data and rigid body mechanics in a single calculation environment. The new formulation is implemented in a software for dynamic crash simulation of an arbitrary 3D frame structure discretized into Super Elements and subjected to large dynamic crash loading. The paper presents basics of the general algorithm and element formulation. The theoretical part is followed by the discussion of benchmark tests and result of application of the real world structures.
References
- (1) Takada, K., Matsuura, N., Nakano, F., Iwamoto, A.: Development of New Pre-processor for Car Body Analysis, Proceedings of the Conference on Computational Engineering and Science, Vol. 7, p. 263-266 (2002)
- (2) Kawai, T., Nogami, K.: Analysis of Discretized Limits in Stiff Structural Components and Frames (in Japanese), Tokyo, Baifukan, p. 93-119 (1991)
- (3) Abramowicz, W.: Object Oriented, Reduced Operation Set Formulation of the Multi-Body Macro and Finite Element Method, Impact Design Europe Report 2/2001, p. 238 (2001)
- (4) Belytschko, T., Liu, W, K., Moran, B.: Nonlinear Finite Elements for Continua and Structures, New York, John Wiley, p. 650, (2000)
- (5) Belytschko, T., Hughes, TJR.: Computational Methods for Transient Analysis, Amsterdam, North-Holland, p. 523 (1983)
- (6) Cook, RD., Malkus, DS., Plesha, ME.: Concepts and Applications of Finite Element Analysis, New York, John Wiley, p. 630 (1989)
- (7) Zienkiewicz, OE., Taylor, RL.: The Finite Element Method (Vol. 1) The Basis Oxford,Butterworth-Heinemann, p. 689 (2000)
- (8) MSDN (the Microsoft Developer Network), 1991-2000 Microsoft Corporation, http://msdn.microsoft.com/
- (9) Rosenberg, M, R: Analytical Dynamics of Discrete Systems, New York, Plenum Press, p. 424 (1977)
- (10) Blajer, W.: Methods of Multibody Dynamics, Monographs of Radom Technical University (in Polish), p. 184 (1998)
- (11) Kawai, T.: Outline of Discretized Limit Analysis (in Japanese), Limit Analysis with Computers Series 1, Tokyo, Baifukan, p. 23-52 (1991)
- (12) Washizu, K., Miyamoto, H., Yamada, Y., Yamamoto, Y., Kawai, T.: Finite Element Method Handbook I, Fundamentals (in Japanese), Tokyo, Baifukan, p. 443
- (13) Abramowicz, W.: Limitations of the matrix method in the FEM formulation for large deformations and strains, Impact Design Europe Report 1/2001, p. 327 (2001)
- (14) Abramowicz, W.: Macro element method on crashworthiness of Vehicles in Crashworthiness energy management and occupant protection (Ambrosio J., Editor), Wein New York, Springer-Verlag, p. 85-138 (2001)
- (15) Abramowicz, W.: Extremal Paths in Progressive Plasticity, Int. J. Impact Engng, Vol. 18, No. 7-8, p.753-764 (1996)
- (16) Abramowicz, W., Wierzbicki, T.: Axial crushing of multi-corner sheet metal columns, J. App. Mech., Vol. 56, No. 1, p. 113-120 (1989)
- (17) Wierzbicki, T., Abramowicz, W.: The Manual of Crash-worthiness Engineering Vol. I-IV, Center for Transportation Studies, Massachusetts Institute of Technology, P. 542 (1987-1989)
- (18) Abramowicz, W., Wierzbicki, T.: Crash Cad Manuals-Superbeam Constructor, Boston, MA, Impact Design, P. 73 (1998)
- (19) Taira, S.: Modern Plastic Dynamics (in Japanese), Tokyo, Ohmsha, p.13 (1982)
- (20) Egawa, Y., Satoh, T.: Effects of Main Frame Bending and Wall Collapse During Collisions, Journal of Society of Automotive Engineers of Japan, Vol. 52, No. 4, p. 49-54 (1998)
- (21) Society of Automotive Engineers of Japan, Inc. Structural Strength Commission: Collapse Characteristics of Thin-walled Curved Beams, Vol. 1 Test Methods and Results, p. 1-222 (1986)
- (22) Ohkami, Y., et al: Collapse of Thin Walled Curved Beam with Closed Hat Section – Part 1, Study on Collapse Characteristics, SAE, 900560 (1990)
- (23) Society of Automotive Engineers of Japan, Inc. Structural Strength Commission: Characteristics of Thin-walled Curved Beams, Vol. II Considerations and Simulation of Test Results, p. 106-125 (1989)
Author (organization or company)
Publication Information
Article of Honda R&D Technical Review Vol.15 No.1 (165 - 172)
PDF
PDF 667KB
Citation Information
Kenji TAKADA, Wlodek Abramowicz.
Novel Formulation of the 3D Large Deformation Beam Element for Dynamic Crash Analysis
Honda R&D Technical Review Vol.15 No.1 pp.(165 - 172)2003.
Copy citation information
Copied