- 期刊
應用分群分析探討大跨度屋蓋結構等值靜力風載重之最佳化
OPTIMIZED EQUIVALENT STATIC WIND LOAD OF LARGE-SPAN-ROOF STRUCTURES BASED ON CLUSTER ANALYSIS TECHNIQUE
摘要
本研究主要針對半圓頂屋蓋結構來進行等值靜力風載重之設計。利用風洞物理模擬試驗與結構動力分析作為對照組，並與等值靜力風載重的分析結果來進行比較，從中可發現兩者的內力反應具有相同趨勢，說明等值靜力風載重的分析方法是可行的。爾後再利用多組桿件的等值靜力風載重分布型態來進行分群分析，將分析後的靜力風載重，重新組合成為新的單組多目標桿件等值靜力風載重。研究結果發現，分群分析的準確度隨著分組數的增加而上升，約莫將簇群分類在10至15組間，即能將僅用單一簇群的誤差減少約40%～60%，有效降低等值靜力風載重的數量，而且保持住等值靜力風載重所能提供的準確性，對於進行結構初步分析的效率是很大的提升。
並列摘要
In this study, the equivalent static wind load is evaluated for one type of the commonly seen large-span-roof structures, the semi-dome roof structure. Wind loading time historical data on the dome surface is collected from the wind tunnel test conducted at Tamkang University. The structural finite element model is then built with reasonable assumptions for time-domain analysis to provide a comparison role for evaluating the equivalent static wind load. Based on the load-response correlation (LRC) method, each target internal load effect forms a suitable distribution of equivalent static wind load. The target internal effect (the maximum response of a specific structural member) can be reproduced. However, one load distribution can only generate one load effect. Therefore, the LRC method is limited to providing single-target equivalent static wind loads (S-ESWLs). This research proposes to adopt the cluster analysis technique to categorize these S-ESWLs into a few groups. By identifying the weighting factor for each S-ESWL, weighting factors are formulated as a matrix and then processed through the singular value decomposition technique to find the optimized combination coefficients of S-ESWLs. Finally, a multiple-target equivalent static wind load (M-ESWL) is obtained from the linear superposition of the combination coefficients and S-ESWLs. Results show that when the cluster number increases to 10 to 15, the error percentage reduces by 40 - 60% compared to only one cluster condition. Meanwhile, the precision provided by the M-ESWLs is well maintained.