An Analytic Iteration Method of Geometrical Nonlinear Analysis for Frame Structures and its Application Program Research
Static method and energy method are two mainly solution methods for structure calculation presently. Static method often appears insoluble complicated transcendental equations and continues hardly. Energy method can solve force analysis of complicated structure and it is a widely used method at present, but in general it is not exact. In this article, analytic iterative method is a calculation method of analyzing geometrical nonlinear of frame Structures, considering the influence of geometrical nonlinear in structure calculation, on foundation of the analytic method that expressed with deflection equation of pressure column with geometry parameter expression with the combination of traditional linear analysis method. And a calculating application program is written to calculate displacement and force of frame structure in the environment of MATLAB language in order to apply conveniently. Because this method is on basis of analytic method, its results have sufficient accuracy. At last, there is an example to explain.
Yungang Li, Pengcheng Wang, Liqun Ai, Xiaoming Sang and Jinglong Bu
L. Sun et al., "An Analytic Iteration Method of Geometrical Nonlinear Analysis for Frame Structures and its Application Program Research", Advanced Materials Research, Vols. 291-294, pp. 3305-3310, 2011