Theoretical and Experimental Study of Nonlinear Dynamic Behaviors of Spatial Structures

在研究中，从理论和实验两个方面对空间结构的非线性动力行为进行了研究。(1)通过对几何非线性运动方程进行数值积分得到时程，数值研究了结构形状（如升跨比、阻尼和激励类型）对动屈曲载荷的影响。采用Budiansky-Roth准则估计了动态屈曲载荷。给出了动态屈曲载荷的频率特性。在第(2)项中，提出了一种利用广义逆理论对运动不确定框架进行动力学分析的数值方法。运动非定框架包括索结构、膜结构、可折叠结构等活动结构、空间结构等，属于“不稳定结构系统”。该方法可有效地应用于此类结构的动力性能分析。通过数值结果与实验结果的比较，验证了该方法的有效性。

In the research study, the following two items about nonlinear dynamic behaviors of spatial structures were investigated from the theoretical and experimental view points.(1) Dynamic Buckling of Shallow Structures under the Up-and Down Excitation(2) Dynamic Behaviors of Kinematically IndeterminateIn item (1), the effects of shape of structure such as rise-to-span ratio, damping and type of excitation on the dynamic buckling load are numerically examined by using time histories which are obtained by the numerical integration for the geometrically nonlinear equations of motion. Dynamic buckling loads are estimated by the Budiansky-Roth criterion. Frequency-dependent characteristics of dynamic buckling load is shown.In item (2), a numerical method using the generalized inverse theory for the dynamic analysis of kinematically indeterminate framework was presented. Kinematically indeterminate frame includes cable structures, membrane structures, movable structures such as foldable structures, space structures, etc., and is classified into 'Unstable Structural System." The present method can be effectively applied to analyze the dynamic behaviors of these structures. The validity of the present method is examined by comparing numerical results with the experimental results.