崩壊問題の動的解析法 : 材料および幾何学的非線形を考慮した鋼構造骨組の動的崩壊解析 その1

抄録

There are many difficulties in the nonlinear statical analysis for the collapse of structures. Many solution procedures for these problems were proposed such as the displacement control method, the artificial spring method, the perturbation method, the method using the current stiffness parameter and the arc length method. In the case of considering the rapture phenomenon of the materials, further hardships will obstruct to obtain a good solution because of the abrupt dropping of the strength. All structural problems which many researchers had treated as statically should have a dynamic effect tacitly such as the inertia force of the own weight of deforming structural element. At the critical or limit point, the inertia term will help to solve the equilibrium equations. In this paper, a meterial and geometrical nonlinear dynamic analysis method is presented for the space steel frames, and the two numerical examples show the effectiveness of the proposed method. 1) Axial force act to the straight bar that will be yield and snapped. 2) Elastic and plastic buckling problem under the dynamic loading.