Wavelet-based signal analysis of a vehicle crash test with a fixed safety barrier

This paper deals with the wavelet-based performance analysis of the safety barrier for use in a full-scale test. The test involves a vehicle, a Ford Fiesta, which strikes the safety barrier at a prescribed angle and speed. The vehicle speed before the collision was measured. Vehicle accelerations in three directions at the centre of gravity were measured during the collision. The yaw rate was measured with a gyro meter. Using normal speed and high-speed video cameras, the behavior of the safety barrier and the test vehicle during the collision was recorded. Based upon the results obtained, the tested safety barrier, has proved to satisfy the requirements for an impact severity level. By taking into account the Haar wavelets, the property of integral operational matrix is utilized to find an algebraic representation form for calculate of wavelet coefficients of acceleration signals. It is shown that Haar wavelets can construct the acceleration signals well.

[1]  H. Karimi Optimal Vibration Control of Vehicle Engine-Body System using Haar Functions , 2006 .

[2]  B. Lohmann,et al.  Haar Wavelet-based Robust Optimal Control for Vibration Reduction of Vehicle Engine–body System , 2007 .

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

[4]  A. Habibi,et al.  Introduction to wavelets , 1995, Proceedings of MILCOM '95.

[5]  Behzad Moshiri,et al.  Haar Wavelet-Based Approach for Optimal Control of Second-Order Linear Systems in Time Domain , 2005 .

[6]  I. Daubechies,et al.  Biorthogonal bases of compactly supported wavelets , 1992 .

[7]  Hamid Reza Karimi A computational method for optimal control problem of time-varying state-delayed systems by Haar wavelets , 2006, Int. J. Comput. Math..

[8]  Matej Borovinšek,et al.  Simulation of crash tests for high containment levels of road safety barriers , 2007 .

[9]  S. Mallat Multiresolution approximations and wavelet orthonormal bases of L^2(R) , 1989 .

[10]  I. Daubechies Orthonormal bases of compactly supported wavelets , 1988 .

[11]  Michael Griebel,et al.  Adaptive Wavelet Solvers for the Unsteady Incompressible Navier-Stokes Equations , 2000 .

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

[13]  Mats Holmström,et al.  Solving Hyperbolic PDEs Using Interpolating Wavelets , 1999, SIAM J. Sci. Comput..

[14]  C. F. Chen,et al.  Haar wavelet method for solving lumped and distributed-parameter systems , 1997 .

[15]  Darian M. Onchis,et al.  The Flexible Gabor-Wavelet Transform for Car Crash Signal Analysis , 2009, Int. J. Wavelets Multiresolution Inf. Process..

[16]  Norman Jones,et al.  Vehicle Crash Mechanics , 2002 .

[17]  Wim Sweldens,et al.  An Overview of Wavelet Based Multiresolution Analyses , 1994, SIAM Rev..

[18]  Hamid Reza Karimi,et al.  Wavelet-Based Identification and Control Design for a Class of Nonlinear Systems , 2006, Int. J. Wavelets Multiresolution Inf. Process..

[19]  Ahmed K. Noor,et al.  Computational Methods for Crashworthiness , 1993 .

[20]  Ingrid Daubechies,et al.  Ten Lectures on Wavelets , 1992 .

[21]  Amara Lynn Graps,et al.  An introduction to wavelets , 1995 .

[22]  Hamid Reza Karimi,et al.  Numerically efficient approximations to the optimal control of linear singularly perturbed systems based on Haar wavelets , 2005, Int. J. Comput. Math..

[23]  C. F. Chen,et al.  A state-space approach to Walsh series solution of linear systems , 1975 .

[24]  Hamid Reza Karimi,et al.  A computational method for solving optimal control and parameter estimation of linear systems using Haar wavelets , 2004, Int. J. Comput. Math..