QR-Method For Analysis Of Spatial Lattice Structures

With the stead use of spatial lattice structures in building field, lots of researchers devoted themselves to studying new theories and methods for analysis of spatial lattice structures and produced many methods, such as simulate-shell method, finite element method and QR method .In this paper, static and dynamic problems of spatial lattice structures are researched and the author established new analysis models. At first, the author establish the linear and geometric nonlinear static equation on the base of rigid equation of element by QR method and analysis the inner force of spatial lattice structures, and establish the linear and material nonlinear dynamic equation and solve these equations by the method of no limit stabilization. On the next step, the author write the corresponding static and dynamic analysis programs about spatial lattice structures which mentioned forward and calculated some examples with these programs. Finally, the author contrast the result of QR method with the result of ANSYS, a huge finite element program of structure analysis, and the contrast result show that QR method is not only avoided some enormous and disadvantages from finite element method, but also calculated more simply, higher accuracy and better convergence performance. So it is a effective and economic new method with great value for spreading and practicing.