A four-node membrane element model with bending modification for one-step algorithm for bus rollover impact

Purpose – The purpose of this paper is to propose a new four-node membrane element model with bending modification based on the equilibrium principle of element nodal internal forces and bending moments for the application of the one-step algorithm for bus rollover collision. And it can be concluded whether the proposed four-node membrane element model has practical value in engineering application or not. Design/methodology/approach – Based on the equilibrium principle of element nodal internal forces and bending moments, the paper puts forward a four-node membrane element model with bending modification. A case study on the rollover of a typical bus body section is carried out by using the one-step algorithm for bus rollover collision to verify the effectiveness of the proposed element model. Findings – For the simulation of bus rollover collision, the computational accuracy can be guaranteed, meanwhile, the calculated amount is much smaller than the shell element, and computational efficiency is improv...

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

[2]  Hoon Huh,et al.  Three dimensional multi-step inverse analysis for the optimum blank design in sheet metal forming processes , 1998 .

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

[4]  Hakim Naceur,et al.  Initial solution estimation to speed up inverse approach in stamping modeling , 2003 .

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

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

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

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

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

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

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

[12]  Hakim Naceur,et al.  Recent developments on the analysis and optimum design of sheet metal forming parts using a simplified inverse approach , 2000 .

[13]  Wang Tong,et al.  Research on a one-step fast simulation algorithm for bus rollover collision based on total strain theory , 2014 .

[14]  J. Batoz,et al.  The inverse approach with simple triangular shell elements for large strain predictions of sheet metal forming parts , 1998 .

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

[16]  J. M. Detraux,et al.  Finite element procedures for strain estimations of sheet metal forming parts , 1990 .

[17]  Hoon Huh,et al.  Construction of sliding constraint surfaces and initial guess shapes for intermediate steps in multi-step finite element inverse analysis , 2002 .

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

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