Dynamic Modeling and Simulation of Vehicle Structural Components Under Full Front Impact for Automotive Crashworthiness
1Department of Mechanical Engineering, Faculty of Industrial Technology and Systems Engineering, Institut Teknologi Sepuluh Nopember, Indonesia
2Department of Mechanical Engineering, Faculty of Engineering, Islamic University of Kalimantan, Indonesia
3Department of Manufacturing, Politeknik Batulicin, Tanah Bumbu, Indonesia
*Author to whom correspondence should be addressed:
E-mail: haruslg@me.its.ac.id (HLG)
E-mail: haruslg@me.its.ac.id (HLG)
Received: May 19, 2025 | Revised: August 07, 2025 | Accepted: December 17, 2025 | Published: June 2026
Abstract
Abstract: Crashworthiness is a crucial aspect of vehicle safety because it reduces structural damage and protects occupants during frontal collisions. Most previous studies have relied on Finite Element Method (FEM) simulations, which require high computational resources and complex geometric modelling, making them less efficient for early-stage design. To overcome this limitation, this study developed a four-mass dynamic model using a spring–damper system to simulate the crashworthiness of a vehicle’s front-end structure under full frontal impact. The model represents the bumper beam, crash box, and chassis, and each is assigned specific values of mass, stiffness, and damping. Simulations were carried out using MATLAB Simulink under a frontal impact condition with an initial velocity of 15.6 m/s (56 km/h), an impact force of 72,000 N, and a duration of 0.2 seconds. Validation was performed based on previous studies that compared the Finite Element Method (FEM) and Lumped Parameter Model (LPM), showing that the displacement results of the present model were similar to those obtained by FEM. The simulation showed a maximum chassis displacement of 70 mm, followed by a rebound of 60 mm, stabilizing within 1.2 seconds. The peak velocity reached 2.5 m/s, and the maximum acceleration was 140 m/s², which decreased to 100 m/s² owing to damping and plastic deformation. These results indicate that the model can accurately and efficiently represent impact dynamics, offering a practical alternative for early crashworthiness evaluation and structural design optimization.
Keywords
Crashworthiness; Dynamic Simulation; Four-Mass System; Frontal Impact; Lumped Parameter Model; MATLAB Simulink; Vehicle Safety
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References
- 1) K. Sinha, "Reliability-based multiobjective optimization for automotive crashworthiness and occupant safety," Structural and Multidisciplinary Optimization, 33 (3) 255-268 (2007) doi:10.1007/s00158-006-0050-x
- 2) Y. Zhang, X. Xu, S. Liu, T. Chen, and Z. Hu, "Crashworthiness design for bi-graded composite circular structures," Constr. Build. Mater., 168 633-649 (2018) doi:10.1016/j.conbuildmat.2018.02.159
- 3) M.S. Zahran, P. Xue, M.S. Esa, and M.M. Abdelwahab, "A novel tailor-made technique for enhancing the crashworthiness by multi-stage tubular square tubes," Thin-Walled Structures, 122 64-82 (2018) doi:10.1016/j.tws.2017.09.031
- 4) K. Rambhad, V. Sutar, P. Sonwane, and S. Suryawanshi, "A review on automotive bumper beam design and analysis," Journal of Automotive Engineering &Technology, 5 (1) 21-35 (2020)
- 5) B.A. Behrens, K. Brunotte, H. Wester, and E. Stockburger, "Investigation of the process window for deformation induced ferrite to improve the joinability of press-hardened components," in: METAL 2020 - 29th International Conference on Metallurgy and Materials, Conference Proceedings, 2020: pp. 579-584 doi:10.37904/metal.2020.3523
- 6) L. G Keni, V. Singh, N. Singh, A. Thyagi, S. Kalburgi, and K.N. Chethan, "Conceptual design and analysis of a car bumper using finite element method," Cogent Eng., 8 (1) (2021) doi:10.1080/23311916.2021.1976480
- 7) Z. Zhang, S. Liu, and Z. Tang, "Design optimization of cross-sectional configuration of rib-reinforced thin-walled beam," Thin-Walled Structures, 47 (8-9) 868-878 (2009) doi:10.1016/j.tws.2009.02.009
- 8) M.M. Davoodi, S.M. Sapuan, D. Ahmad, A. Aidy, A. Khalina, and M. Jonoobi, "Concept selection of car bumper beam with developed hybrid bio-composite material," Mater. Des., 32 (10) 4857-4865 (2011) doi:10.1016/j.matdes.2011.06.011
- 9) M.S. Han, B.S. Min, and J.U. Cho, "Fracture properties of aluminum foam crash box," International Journal of Automotive Technology, 15 (6) 945-951 (2014) doi:10.1007/s12239-014-0099-2
- 10) Q. Gao, X. Zhao, C. Wang, L. Wang, and Z. Ma, "Multi-objective crashworthiness optimization for an auxetic cylindrical structure under axial impact loading," Mater. Des., 143 120-130 (2018) doi:10.1016/j.matdes.2018.01.063
- 11) Z. Xiao, J. Fang, G. Sun, and Q. Li, "Crashworthiness design for functionally graded foam-filled bumper beam," Advances in Engineering Software, 85 81-95 (2015) doi:10.1016/j.advengsoft.2015.03.005
- 12) I. Kusyairi, "The influence of origami and rectangular crash box variations on mpv bumper with offset frontal test examination toward deformability," Journal of Energy, Mechanical, Material and Manufacturing Engineering, 2 (2) (2017) doi:10.22219/jemmme.v2i2.5070
- 13) C. Huang, Y. Hu, S. Zhang, L. Yang, L. Xia, J. Zhang, W. Song, and S. Lo, "A collision-free model on the interaction between pedestrians and cyclists on a shared road," Journal of Statistical Mechanics: Theory and Experiment, 2021 (10) (2021) doi:10.1088/1742-5468/ac26b4
- 14) G. Belingardi, A.T. Beyene, E.G. Koricho, and B. Martorana, "Alternative lightweight materials and component manufacturing technologies for vehicle frontal bumper beam," Compos. Struct., 120 483-495 (2015) doi:10.1016/j.compstruct.2014.10.007
- 15) Y. Miao, X. Rui, P. Wang, H. Zhu, J. Zhang, and J. Wang, "Nonlinear dynamic modeling and analysis of magnetorheological semi-active suspension for tracked vehicles," Appl. Math. Model., 125 311-333 (2024) doi:10.1016/j.apm.2023.09.027
- 16) M.T. AŞKAR, and K. ERMİŞ, "Crash analysis and size optimization of a vehicle’s front bumper system," International Journal of Automotive Science and Technology, 5 (3) 184-191 (2021) doi:10.30939/ijastech..930944
- 17) M.S. Ul Abrar, K.F. Nadim Ezaz, M.J. Hasan, R.I. Pranto, T.A. Alvy, and M.Z. Hossain, "Speed-dependent impact analysis on a car bumper structure using various materials," Results in Engineering, 21 101927 (2024) doi:10.1016/j.rineng.2024.101927
- 18) S.W. Wang, "Crashworthiness analysis of bumper system based on Ls-dyna," in: H. Dong, H. Yu (Eds.), Ninth International Conference on Mechanical Engineering, Materials, and Automation Technology (MMEAT 2023), SPIE, 2023: p. 283 doi:10.1117/12.3008231
- 19) S.K. Vignesh, M. Jaikumar, P. Koenig, and V. Hariram, "Enhancing the crashworthiness of passenger vehicle through modification of bumper beam design and energy absorption materials," International Journal of Vehicle Structures and Systems, 15 (7) 892-895 (2023) doi:10.4273/ijvss.15.7.04
- 20) M. Luo, Y. Chen, D. Gao, and L. Wang, "Inversion study of vehicle frontal collision and front bumper collision," Electronic Research Archive, 31 (2) 776-792 (2023) doi:10.3934/era.2023039
- 21) N. Nawawithan, P. Kittisakpairach, S. Nithiboonyapun, K. Ruangjirakit, and P. Jongpradist, "Design and performance simulation of hybrid hemp/glass fiber composites for automotive front bumper beams," Compos. Struct., 335 (2024) doi:10.1016/j.compstruct.2024.118003
- 22) E.S. Yeshanew, and R.B. Nallamothu, "Numerical simulation and design modification of an automotive bumper to enhance energy absorption by using ls-dyna," Modelling and Simulation in Engineering, 2025 (1) (2025) doi:10.1155/mse/9980385
- 23) G.W. Milton, and J.R. Willis, "On modifications of newton’s second law and linear continuum elastodynamics," Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 463 (2079) 855-880 (2007) doi:10.1098/rspa.2006.1795
- 24) M.M. Basit, and S.S. Cheon, "Time-dependent crashworthiness of polyurethane foam," Mech. Time. Depend. Mater., 23 (2) 207-221 (2019) doi:10.1007/s11043-018-9391-2
- 25) H.J. Beermann, "Behaviour of passenger cars on impact with underride guards.," International Journal of Vehicle Design, 5 (1-2) 86-103 (1984)
- 26) Y. Zhang, G. Sun, G. Li, Z. Luo, and Q. Li, "Optimization of foam-filled bitubal structures for crashworthiness criteria," Mater. Des., 38 99-109 (2012) doi:10.1016/j.matdes.2012.01.028
- 27) M. Lazarek, P. Brzeski, and P. Perlikowski, "Design and identification of parameters of tuned mass damper with inerter which enables changes of inertance," Mech. Mach. Theory, 119 161-173 (2018) doi:10.1016/j.mechmachtheory.2017.09.004
- 28) S. Hou, Q. Li, S. Long, X. Yang, and W. Li, "Multiobjective optimization of multi-cell sections for the crashworthiness design," Int. J. Impact Eng., 35 (11) 1355-1367 (2008) doi:10.1016/j.ijimpeng.2007.09.003
- 29) A.A.E. Khattab, "Investigation of an adaptable crash energy management system to enhance vehicle crashworthiness," Mechanical Engineering, 268 (2011). http://spectrum.library.concordia.ca/7234/
- 30) M. Gidlewski, L. Prochowski, L. Jemioł, and D. Żardecki, "The process of front-to-side collision of motor vehicles in terms of energy balance," Nonlinear Dyn., 97 (3) 1877-1893 (2019) doi:10.1007/s11071-018-4688-x
- 31) B.R. Mitchell, J.C. Klewicki, Y.P. Korkolis, and B.L. Kinsey, "The transient force profile of low-speed droplet impact: measurements and model," J. Fluid Mech., 867 300-322 (2019) doi:10.1017/jfm.2019.141
- 32) A. Baroutaji, M. Sajjia, and A.G. Olabi, "On the crashworthiness performance of thin-walled energy absorbers: recent advances and future developments," Thin-Walled Structures, 118 137-163 (2017) doi:10.1016/j.tws.2017.05.018
- 33) P. Sathishkumar, J. Jancirani, D. John, and S. Manikandan, "Mathematical modelling and simulation quarter car vehicle suspension," IOSR Journal of Mechanical and Civil Engineering (IOSR-JMCE), 3 (1) 1280-1283 (2014). www.ijirset.com
- 34) B. B. Munyazikwiye, D. Vysochinskiy, M. Khadyko, and K. G. Robbersmyr, "Prediction of vehicle crashworthiness parameters using piecewise lumped parameters and finite element models," Designs (Basel)., 2 (4) 43 (2018) doi:10.3390/designs2040043
- 35) J. Ma, D. Hou, Y. Chen, and Z. You, "Quasi-static axial crushing of thin-walled tubes with a kite-shape rigid origami pattern: numerical simulation," Thin-Walled Structures, 100 38-47 (2016) doi:10.1016/j.tws.2015.11.023
- 36) J. Fang, G. Sun, N. Qiu, N.H. Kim, and Q. Li, "On design optimization for structural crashworthiness and its state of the art," Structural and Multidisciplinary Optimization, 55 (3) 1091-1119 (2017) doi:10.1007/s00158-016-1579-y
- 37) Z. Tang, Y. Zhu, Y. Nie, S. Guo, F. Liu, J. Chang, and J. Zhang, "Data-driven train set crash dynamics simulation," Vehicle System Dynamics, 55 (2) 149-167 (2017) doi:10.1080/00423114.2016.1249377
- 38) G.P. Cimellaro, "Simultaneous stiffness-damping optimization of structures with respect to acceleration, displacement and base shear," Eng. Struct., 29 (11) 2853-2870 (2007) doi:10.1016/j.engstruct.2007.01.001
- 39) G. Li, J. Yang, and C. Simms, "A virtual test system representing the distribution of pedestrian impact configurations for future vehicle front-end optimization," Traffic Inj. Prev., 17 (5) 515-523 (2016) doi:10.1080/15389588.2015.1120294
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