Theoretical and Experimental Study of Nonlinear Dynamic Behaviors of Spatial Structures

空间结构非线性动力行为的理论与实验研究

• 批准号: 04452244
• 负责人: HANGAI Yasuhiko
• 金额: $ 4.22万
• 依托单位: University of Tokyo
• 依托单位国家: 日本
• 项目类别: Grant-in-Aid for General Scientific Research (B)
• 财政年份: 1992
• 资助国家: 日本
• 起止时间: 1992 至 1993
• 项目状态: 已结题
• 来源: https://kaken.nii.ac.jp/en/grant/KAKENHI-PROJECT-04452244/
• 关键词: shell; spatial structure; membrane structure; dynamic buckling; bifurcation; unstable structure; generalized inverse; rigid body displacement; 非線形振動; 波動伝播; 変動風圧; 幾何学的非線形

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.

在研究研究中，从理论和实验性观察点研究了以下两个有关空间结构非线性动态行为的项目。（1）在上下兴奋下（2）运动学上不确定素的动态行为下浅层结构的动态屈曲（2） （1），通过使用时间历史来检查结构形状的影响，例如上升与跨度的比率，阻尼和激发类型对动态屈曲负荷的影响，通过使用时间历史来检查，这些历史是通过数值集成获得的数值整合，用于几何非线性运动方程。动态屈曲负荷由Butiansky-Roth标准估算。显示了动态屈曲载荷的频依赖性特征。运动学上不确定的框架包括电缆结构，膜结构，可移动结构，例如可折叠结构，空间结构等，并将其分类为“不稳定的结构系统”。目前的方法可以有效地应用于分析这些结构的动态行为。通过将数值结果与实验结果进行比较，可以检查本方法的有效性。

项目成果

K.Kawaguchi, K.Miyazaki, Y.Hangai and T.Tanami: "Introduction of Higher Order Terms into the Dynamic Large Displacement Analysis of Kinematically Indeterminate Structures" Proceedings of Symposium on Computational Methods in Structural Engineering and Rel

K.Kawaguchi、K.Miyazaki、Y.Hangai 和 T.Tanami：“将高阶项引入运动学不定结构的动态大位移分析”结构工程及相关计算方法研讨会论文集

半谷 裕彦,田波 徹行(分担執筆): "シェル・単層ラチス構造の振動解析ー地震・風応答と動的安定ー" 日本建築学会シェル空間構造運営委員会, 250 (1993)

Hirohiko Hanya、Toruyuki Tanami（合著者）：“壳/单层晶格结构的振动分析 - 地震/风响应和动态稳定性”日本建筑学会壳空间结构指导委员会，250（1993）

S.Taki and Y.Hangai: "Dynamic Buckling Analysis of Shallow Arches under the Up-and-Down Excitation" Proceedings of the Annual Meeting of AIJ. 1443-1444 (1993)

S.Taki 和 Y.Hangai：“上下激励下浅拱的动态屈曲分析”AIJ 年会论文集。

半谷 裕彦: "不安定構造の形態解析法" 建築雑誌. 107. 64-65 (1992)

Hirohiko Hanya：“不稳定结构的形态分析方法”建筑杂志107。64-65（1992）。

Y.Hangai and T.Tanami: Vibration Analysis of Shell and Spatial Structures. Maruzen, (1992)

Y.Hangai 和 T.Tanami：壳和空间结构的振动分析。