Application of QR Method for Analysis of Spatial-Mega Frame Structure

Abstract:

With the generalized displacement parameters of spline knots chosen as basic unknowns, the node displacement functions of spatial mega frames were built up, then element node displacements could be expressed by these parameters. New stiffness equation of spatial mega frame was deduced according to energy variational principle. The nodal displacement and nodal forces were worked out by the displacement parameters of spline knots. Process of block assembling for spline-discretization matrix was introduced briefly. One spatial mega frame was calculated by QR method and different finite element softwares. Comparation among the results and those of references proves that QR method is exactly an economical, effective and reliable method for computation of spatial mega frames. It provides a new approach for simplified calculation to spatial mega structures, so has good theoretical and practical value.

• Periodical: Advanced Materials Research (Volumes 243-249)
• Pages: 6049-6052
• DOI: https://doi.org/10.4028/www.scientific.net/AMR.243-249.6049
• Online since: May 2011
• Authors: Wen Jun Pan, Xian Guo Ye, Lei Chang
• Keywords: Finite Element, QR Method, Spatial Mega Frame, Spline Knot, Structural Analysis

References

[1] C. Lin, Y.C Zhang: Journal of Harbin Institute of Technology. Vol.35 (2003), p.1307

[2] Z.Y. Shen, R.Y. Chen: Journal of Tongji University, Vol. 29 (2001), p.258

[3] F.S. Chen: Design and construction of mega frame structure (China Machine Press, Beijing 2007).

[4] Y.Q. Gong, S.H. Bao: Engineering Mechanics. Vol. 25 (2008), p.133

[5] J.Li, Y.C. Zhang: Journal of Harbin University of C. E. & Architecture. Vol.32 (1999), p.38

[6] H. Bao, Y.Q. Gong: Chinese Journal of Computational Mechanics. Vol. 27(2010), p.40

[7] J.Zhou, X.B.Wu: Computation for complex tall building structures (China Electric Power Press Beijing 2008).

[8] S.H. Bao, Y.Q. Gong: Supplement of Engineering Mechanics. Vol. (SI) (2002), p.233

[9] R.Qin: Computational structure mechanics (Science Press, Beijing 2001).

[10] X.M.Li, R.Qin, X.Yu: Spatial Structures. Vol.15 (2009), p.65