Application of QR Method for Analysis of Spatial-Mega Frame Structure
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.
Chaohe Chen, Yong Huang and Guangfan Li
W. J. Pan et al., "Application of QR Method for Analysis of Spatial-Mega Frame Structure", Advanced Materials Research, Vols. 243-249, pp. 6049-6052, 2011