Estimations of Buckling Strength and Ultimate Strength of Single Layer Lattice Shells

单层格子壳屈曲强度和极限强度的估计

基本信息

批准号：
14550560
负责人：
OGAWA Toshiyuki
金额：
$ 1.79万
依托单位：
Tokyo Institute of Technology
依托单位国家：
日本
项目类别：
Grant-in-Aid for Scientific Research (C)
财政年份：
2002
资助国家：
日本
起止时间：
2002 至 2003
项目状态：
已结题

来源：
https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-14550560/
关键词：
Single Layer Lattice Shell Shape Optimization Linear Buckling Load Static Elasto-plastic Buckling Analysis Strength Estimation Response Spectrum Analysis Earthquake Response Behavior Dynamic Buckling Behavior 部材長一様化時刻歴弾塑性応答解析コンプライアンス

项目摘要

This study is projected for the purpose of collecting of the data on buckling strength and ultimate strength of single layer lattice shells with optional shapes. The outlines for the research results in 2002 and 2003 are shown below.Shape optimizations of single layer lattice shells were carried out for maximizing the linear buckling load and minimizing the difference between the maximum and minimum lengths among the specified members. As a result, while taking the linear buckling loads into consideration, the optimal shapes with few kind of member length were obtained. Smooth optimal shapes could be obtained by modeling the lattice shells using tensor product Bezier surface.The buckling behavior of HP (Hyperbolic Paraboloidal) lattice shells under uniform loadings was examined using the static elasto-plastic buckling analysis. HP lattice shell is a surface with a negative Gauss curvature. The initial yield load and the ultimate load were expressed in terms of column buckling strength, and the concept was applied to estimate the initial yield load and the ultimate load of HP lattice shells. In addition, the effects of loading imperfection and geometrical initial imperfection on the buckling behavior were made clear.On the single layer lattice shells with dome shape, the earthquake response behavior and the dynamic buckling behavior were examined. The CQC (Complete Quadratic Combination) method of response spectrum analysis was used. The response acceleration subjected to horizontal earthquake motions were evaluated. Based on the result, the static earthquake load for lattice dome was proposed. On the dynamic buckling analysis, the step wave and single pulse wave were adopted as input waveforms, the analysis method was the time history non-linear response analysis. The effects of the half subtended angle of the dome and the input direction on the dynamic buckling behavior were examined.

本研究的目的是收集具有可选形状的单层网格壳的屈曲强度和极限强度的数据。 2002年和2003年的研究成果概要如下。单层网格壳的形状优化是为了最大化线性屈曲载荷并最小化指定构件之间的最大和最小长度之间的差异。结果，在考虑线性屈曲载荷的同时，获得了几种构件长度的最佳形状。使用张量积贝塞尔曲面对晶格壳进行建模可以获得光滑的最佳形状。使用静态弹塑性屈曲分析研究了均匀载荷下HP（双曲抛物面）晶格壳的屈曲行为。 HP 晶格壳是具有负高斯曲率的表面。初始屈服荷载和极限荷载以柱屈曲强度表示，并应用该概念来估计HP格网壳的初始屈服荷载和极限荷载。此外，还明确了荷载缺陷和几何初始缺陷对屈曲行为的影响。在圆顶形单层网壳上，研究了地震响应行为和动态屈曲行为。使用响应谱分析的CQC（完全二次组合）方法。评估了水平地震运动的响应加速度。根据计算结果，提出了格构穹顶的静地震荷载。动态屈曲分析采用阶梯波和单脉冲波作为输入波形，分析方法为时程非线性响应分析。研究了圆顶的半对角和输入方向对动态屈曲行为的影响。