Research on a one-step fast simulation algorithm for bus rollover collision based on total strain theory

A one-step fast simulation algorithm for bus rollover collision is proposed referencing to that for sheet metal forming. This algorithm is based on nonlinear total strain theory and starts with two states, namely the state when collision happens and the state when maximum collision deformation is achieved. First, an initial solution meeting the deformation conditions is calculated by considering the energy conversion relationship during rollover collision. The final deformation meeting the equilibrium conditions is obtained by Newton–Raphson iteration. A case study on the rollover of a typical bus body section is carried out using the proposed algorithm, of which the effectiveness is verified by comparing its results with the ones obtained by LS-DYNA and rollover test.

[1]  E. Zolti.  A finite element procedure to time dependent contact analysis , 1983 .

[2]  I. Ghiba.  On the spatial behaviour in the bending theory of porous thermoelastic plates , 2013 .

[3]  Sanjay Tiwari.  Performance Evaluation of Bus Structure in Rollover as Per ECE-R66 Using Validated Numerical Simulation , 2009 .

[4]  Norman Jones,et al.  Experimental and numerical study in axial crushing of thin walled sections made of high-strength steels , 2003 .

[5]  Rezak Ayad,et al.  An improved four‐node hybrid‐mixed element based upon Mindlin's plate theory , 2002 .

[6]  Hoon Huh,et al.  Blank Design and Strain Estimates for Sheet Metal Forming Processes by a Finite Element Inverse Approach with Initial Guess of Linear Deformation , 1998 .

[7]  A. Levy,et al.  On computational strategies for problems involving plasticity and creep , 1981 .

[8]  P. Lee,et al.  A three-node triangular plate bending element based on mindlin/reissner plate theory and mixed interpolation , 1999 .

[9]  E. Hinton,et al.  Spurious modes in two‐dimensional isoparametric elements , 1979 .

[10]  S. A. Majlessi,et al.  Deep Drawing of Square-Shaped Sheet Metal Parts, Part 1: Finite Element Analysis , 1993 .

[11]  A. Makinouchi,et al.  Contact strategies to deal with different tool descriptions in static explicit FEM for 3-D sheet-metal forming simulation , 1995 .

[12]  Hinnerk Hagenah,et al.  Energy based algorithms to solve initial solution in one-step finite element method of sheet metal stamping , 2007 .

[13]  Ignacio Iturrioz,et al.  Structural Optimization of a Bus in Rollover Conditions , 2009 .

[14]  Keith Friedman,et al.  Transit Bus Design Effects Utilizing Improved Steel or Fiber Reinforced Composite Structures , 2007 .

[15]  D. J. Gorman.  ACCURATE FREE VIBRATION ANALYSIS OF POINT SUPPORTED MINDLIN PLATES BY THE SUPERPOSITION METHOD , 1999 .

[16]  M. A. Dokainish,et al.  A method for contact problems using virtual elements , 1997 .

[17]  Luis Castejon,et al.  Simulation and Testing of Composite Buses Roll Over , 2004 .

[18]  R. A. Uras,et al.  Finite element stabilization matrices-a unification approach , 1985 .

[19]  Xianghuai Dong,et al.  Simulation of bulk metal forming processes using one-step finite element approach based on deformation theory of plasticity , 2010 .

[20]  M. Karima,et al.  On a One Step Finite Element Approach for a Closer Interface Between Product Design and Manufacturing Feasibility , 1992 .

[21]  Ying Huang,et al.  A new approach to solve key issues in multi-step inverse finite-element method in sheet metal stamping , 2006 .

[22]  Yang Xiang,et al.  Exact Solutions for Vibration of Multi-Span Rectangular Mindlin Plates , 2002 .

[23]  Robert D. Cook,et al.  An iterative procedure for finite-element stress analysis of frictional contact problems , 1984 .

[24]  A priori error estimation of a four-node Reissner-Mindlin plate element for elasto-dynamics , 2005 .

[25]  D. Osmont.  A FINITE ELEMENT CODE FOR THE COMPUTATION OF THE DYNAMIC RESPONSE OF STRUCTURES INVOLVING CONTACT EFFECTS , 1985 .

[26]  Pablo Cruz,et al.  New Optimized Bus Structure to Improve the Roll-Over Test (ECE-R66) Using Structural Foam with High Strength Steel , 2009 .