Nonlinear Solution Formulation for Complex Space Truss

Abstract:

A new geometric nonlinear formulation for large-deflection static problems involving complex space truss structure is presented. Based on the finite element method, the proposed formulation uses nodal positions rather than nodal displacements to describe the problem. The strain is determined directly from the proposed position concept, using a Cartesian coordinate system fixed in space. The proposed formulation is simple and yields good results. Numerical results indicate that the proposed formulation is validity.

• Periodical: Advanced Materials Research (Volumes 671-674)
• Pages: 505-508
• DOI: https://doi.org/10.4028/www.scientific.net/AMR.671-674.505
• Online since: March 2013
• Authors: Chao Jiang Fu
• Keywords: Finite Element Method (FEM), Non-Linear Analysis, Solution Formulation, Space Truss

References

[1] K. J. Bathe: Finite Element Procedures (Prentice-Hall, NJ, 1996).

[2] M. S. Gadala, M. A. Dokainish: Int. J. Numer. Methods Eng. Vol. 20 (1984), p.887.

[3] J. L. Meek, H. S. Tan: Comput. Methods Appl. Mech. Eng. Vol. 47 (2004), p.261.

[4] M. A. Crisfield: Comput. Methods Appl. Mech. Eng. Vol. 81 (1998), p.131.

[5] H. B. Coda, M. Greco: Comput. Methods Appl. Mech. Eng. Vol. 193 (2006), p.3541.

[6] Wang Xu-cheng, Shao min: Fundamental principles and numerical methods for finite element method. (Tsinghua University Press, 2003).

[7] M. Grecoa, F. A. R. Gesualdoa and W. S. Venturinib: Finite Elem. Anal. Des. Vol. 42 (2007), p.1079.

[8] D. H. Christopher, G. E. Blandford and S. T. Wang: J. Struct. Eng. ASCE 115 (1989), p.900.

[9] B. W. R. Forde, S. F. Stiemer: Comput. Struct. Vol. 27 (1997), p.625.