Early phase modeling of frontal impacts for crashworthiness: From lumped mass–spring models to Deformation Space Models

Because of the drawbacks of standard lumped mass–spring models discussed at the beginning of this paper, a new approach for simplified modeling of frontal impacts appropriate for early phase crashworthiness design is proposed. It is based on a first step, the Geometry Space Model, representing the real location of the structural components with deformable, non-deformable, and gap parts. This is then transformed by a new algorithm into the Deformation Space Model which considers only the available free deformation lengths and can be used to assess the correct deformation modes of complex structural systems. These developments are embedded in a wider research field, already published, where Solution Spaces are established for set-based design of the force–displacement curves for all springs. Together with this Solution Space technology, the proposed new simplified modeling approach for frontal impacts will make early phase development more efficient in the future.

[1]  Tsuyoshi Yasuki,et al.  Vehicle Development for Frontal/Offset Crash Using Lumped Parameter Modeling , 1996 .

[2]  Javad Marzbanrad,et al.  Crashworthiness study of a full vehicle-lumped model using parameters optimisation , 2015 .

[3]  Randa Radwan Samaha,et al.  Lumped-Parameter Modeling of Frontal Offset Impacts , 1995 .

[4]  M. M. Kamal,et al.  Analysis and Simulation of Vehicle to Barrier Impact , 1970 .

[5]  Markus Zimmermann,et al.  On the calibration of simplified vehicle crash models , 2014 .

[6]  Fabian Duddeck,et al.  A Semi-Analytical Approach to Identify Solution Spaces for Crashworthiness in Vehicle Architectures , 2015 .

[7]  ChangHwan Kim,et al.  Development of simplified models for design and optimization of automotive structures for crashworthiness , 2001 .

[8]  Markus Zimmermann,et al.  On the Optimal Decomposition of High-Dimensional Solution Spaces of Complex Systems , 2018 .

[9]  H. Harbrecht,et al.  On the computation of solution spaces in high dimensions , 2016 .

[10]  Fabian Duddeck,et al.  Optimal Decomposition of High-Dimensional Solution Spaces for Chassis Design , 2016 .

[11]  Axel Schumacher,et al.  Graph and heuristic based topology optimization of crash loaded structures , 2013 .

[12]  R. Lust,et al.  Structural optimization with crashworthiness constraints , 1992 .

[13]  Hampton C. Gabler,et al.  Side Impact Crashworthiness Design: Evaluation of Padding Characteristics Through Mathematical Simulations , 1991 .

[14]  Stuart G Mentzer SISAME2 Program: Structural Crash Model Extraction and Simulation , 2001 .

[15]  Javad Marzbanrad,et al.  A System Identification Algorithm for Vehicle Lumped Parameter Model in Crash Analysis , 2011 .

[16]  ChangHwan Kim,et al.  Nonlinear dynamic system identification for automotive crash using optimization: A review , 2003 .

[17]  Markus Zimmermann,et al.  Optimizing tolerance to uncertainty in systems design with early- and late-decision variables , 2019 .

[18]  I K McIvor,et al.  MODELING, SIMULATION AND VERIFICATION OF IMPACT DYNAMICS. VOLUME 2: STATE-OF-THE-ART, COMPUTER SIMULATION OF VEHICLE IMPACT , 1973 .

[19]  Jae Moon Lim Lumped mass-spring model construction for crash analysis using full frontal impact test data , 2017 .

[20]  S. J. Hu,et al.  Data-based approach in modeling automobile crash , 1995 .

[21]  Michael Pabst,et al.  A simplified model for barrier–vehicle interaction in a rear crash for early phase development and solution spaces , 2018 .

[22]  William T. Hollowell,et al.  The SISAME Methodology for Extraction of Optimal Lumped Parameter Structural Crash Models , 1992 .

[23]  Jaemoon Lim A Consideration on the Offset Frontal Impact Modeling Using Spring-Mass Model , 2015 .

[24]  Mahesh Balike,et al.  Enhancement of crashworthiness in car-truck collisions using damped under-ride guard and composite crush elements , 1998 .

[25]  Arvind J. Padgaonkar,et al.  Static-to-Dynamic Amplification Factors for Use in Lumped-Mass Vehicle Crash Models , 1981 .

[26]  ChangHwan Kim,et al.  System identification of simplified crash models using multi-objective optimization , 2006 .

[27]  Fabian Duddeck,et al.  Surface modelling of vehicle frontends for pedestrian safety with the FlexPLI , 2017 .

[28]  R. J. Melosh,et al.  The Potential for Predicting Flexible Car Crash Response , 1967 .

[29]  Lavinia Graff A stochastic algorithm for the identification of solution spaces in high-dimensional design spaces , 2013 .

[30]  Markus Zimmermann,et al.  Computing solution spaces for robust design , 2013 .

[31]  Azim Eskandarian,et al.  Vehicle crash modelling using recurrent neural networks , 1998 .

[32]  Markus Zimmermann,et al.  On the design of large systems subject to uncertainty , 2017 .

[33]  Markus Zimmermann,et al.  Direct computation of solution spaces , 2017 .