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A Numerical Comparison of Lagrange and Kane’s Method for Modeling and Crashworthiness Assessment of a Modified Vehicle

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Simulation and Modeling Methodologies, Technologies and Applications (SIMULTECH 2022)

Part of the book series: Lecture Notes in Networks and Systems ((LNNS,volume 780))

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Abstract

Modeling of vehicle crash events has been a challenge for researchers for several decades. Lumped Parameter Models (LPM) offer solutions to engineering problems using purely time-dependent variables and have been applied in several studies to replicate a crash event. One of the limitations to LPM is the modeling of material and geometrical non-linearities; this study presents an LPM of a modified vehicle (welds and heat treatment on the vehicle structural members) undergoing an impact. The 3 DOF system uses an elastic double compound pendulum with a torsional spring. The governing equations are defined using Lagrangian and Kane’s method and the simulations are validated against an FE model of a modified vehicle. It is observed that the two methods produce reliable results for predicting the parameters contributing to injuries in a crash; however, Kane’s method shows an improved correlation against the FE model.

Supported by University of Agder.

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Authors and Affiliations

  1. University of Agder, Jon Lilletuns vei 9, Grimstad, 4879, Norway

    Gulshan Noorsumar, Svitlana Rogovchenko, Dmitry Vysochinskiy & Kjell G. Robbersmyr

Authors
  1. Gulshan Noorsumar
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  2. Svitlana Rogovchenko
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  3. Dmitry Vysochinskiy
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  4. Kjell G. Robbersmyr
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Corresponding author

Correspondence to Gulshan Noorsumar .

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Editors and Affiliations

  1. Brandenburg University of Technology, Cottbus, Germany

    Gerd Wagner

  2. Otto von Guericke University of Magdeburg, Magdeburg, Sachsen-Anhalt, Germany

    Frank Werner

  3. University of Calabria, Rende, Cosenza, Italy

    Floriano De Rango

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Noorsumar, G., Rogovchenko, S., Vysochinskiy, D., Robbersmyr, K.G. (2023). A Numerical Comparison of Lagrange and Kane’s Method for Modeling and Crashworthiness Assessment of a Modified Vehicle. In: Wagner, G., Werner, F., De Rango, F. (eds) Simulation and Modeling Methodologies, Technologies and Applications. SIMULTECH 2022. Lecture Notes in Networks and Systems, vol 780. Springer, Cham. https://doi.org/10.1007/978-3-031-43824-0_9

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