本文選題：背景響應 + 共振響應　； 參考：《東南大學》2015年碩士論文

【摘要】：大跨屋蓋結構具有造型優(yōu)美,力學性能良好的特點,近些年來廣泛應用于各類建筑中,但目前我國規(guī)范只有針對高聳建筑的風振計算,并沒有大跨屋蓋的風振計算。本文以雙層柱面網殼為研究背景,在理論上對網殼風振響應機理、計算方法進行了一系列研究。本文的主要研究工作如下：1.比較頻域內風振響應的兩種計算方法。分別計算背景響應、共振響應,然后疊加得到總響應的結果,與采用自適應Simpson算法直接計算得到的結果是一致的。不同模態(tài)下的共振響應與背景響應的比例,隨著模態(tài)階數升高而減小。低階模態(tài)以共振響應為主,高階模態(tài)以背景響應為主。2.振型截取研究。結構整體背景響應可以通過靜力分析得到,通過振型疊加法可以獲得不同模態(tài)下的背景響應。在總結整體背景響應、振型背景響應的基礎上,提出背景響應的振型能量參與系數計算方法,由振型能量參與系數獲得累積振型能量參與系數。通過累積振型能量參與系數,判斷所選振型是否合理。對于雙層柱面網殼結構,取前20階模態(tài)便可滿足需求。3.時域和頻域一致性研究。利用線性濾波法模擬出脈動風速時程,并進行統(tǒng)計檢驗：利用脈動風速時程,得出脈動風力時程,在Ansys中進行時程分析,獲得各點的位移響應根方差。振型組合采用CQC法和時域計算結果吻合,振型組合采用SRSS法和時域結果有一定誤差。4.風致響應影響因素研究。利用頻域分析方法,分別對模態(tài)耦合項、脈動風速譜、空間相干函數、地面粗糙度、體型系數、基本風壓、阻尼比進行研究。研究表明：模態(tài)耦合項、空間相干函數對位移響應向量空間分布有影響；體型系數對位移響應較小；地面粗糙度、基本風壓、阻尼比只影響位移響應的幅值。5.脈動風等效靜力風荷載和風振系數研究。介紹了改進LRC法計算等效靜力風荷載原理。通過分析,改進LRC法計算得出的指定節(jié)點的峰值位移和CQC方法的計算結果吻合的非常好,誤差在6%以內。通過對三個算例的豎向位移風振系數分析,發(fā)現在整體上豎向位移風振系數分布較平緩,離散較小；位移風振系數最大值和最小值差距較小。
[Abstract]:The long-span roof structure has the characteristics of beautiful shape and good mechanical performance. In recent years, it has been widely used in all kinds of buildings. But at present, the code of our country only calculates the wind-induced vibration of high-rise buildings, and does not calculate the wind-induced vibration of large-span roof. In this paper, the wind-induced response mechanism and calculation method of double-layer cylindrical reticulated shell are studied in theory. The main research work of this paper is as follows: 1. Two methods for calculating wind vibration response in frequency domain are compared. The results of background response and resonance response are calculated respectively, and then the total response is obtained by superposition, which is consistent with the results obtained by direct calculation using adaptive Simpson algorithm. The ratio of resonance response to background response in different modes decreases with the increase of modal order. The resonance response is dominant in the low order mode and the background response in the higher order mode. Study on mode interception. The whole background response of the structure can be obtained by static analysis, and the background response under different modes can be obtained by the mode superposition method. On the basis of summing up the whole background response and the mode background response, the calculation method of the mode energy participation coefficient of the background response is put forward, and the cumulative mode energy participation coefficient is obtained from the mode energy participation coefficient. Whether the selected mode is reasonable or not is judged by accumulative energy participation coefficient. For double layer cylindrical reticulated shell structure, the first 20 order modes can meet the demand. 3. Research on time domain and frequency domain consistency. The time history of pulsating wind speed is simulated by linear filtering method, and the statistical test is carried out. By using the time history of pulsating wind speed, the pulsating wind time history is obtained, and the root variance of displacement response at each point is obtained by time history analysis in Ansys. The results of mode combination using CQC method and time domain calculation are in agreement with the results of time domain calculation. The results of mode combination using SRSS method and time domain results have a certain error. 4. Study on the influencing factors of Wind-induced response. The modal coupling term, pulsating wind speed spectrum, spatial coherence function, ground roughness, shape coefficient, basic wind pressure and damping ratio are studied by frequency domain analysis method. The results show that the spatial coherence function has an effect on the spatial distribution of the displacement response vector, the shape coefficient has little effect on the displacement response, and the roughness of the ground, the basic wind pressure and the damping ratio only affect the amplitude of the displacement response. Study on equivalent static wind load and wind vibration coefficient of pulsating wind. The principle of calculating equivalent static wind load by improved LRC method is introduced. Through analysis, the peak displacement calculated by improved LRC method is in good agreement with that of CQC method, and the error is less than 6%. Through the analysis of the vertical displacement wind vibration coefficient of three examples, it is found that the vertical displacement wind vibration coefficient distributes slowly and discretely on the whole, and the difference between the maximum and the minimum value of the displacement wind vibration coefficient is small.
【學位授予單位】：東南大學
【學位級別】：碩士
【學位授予年份】：2015
【分類號】：TU399;TU311.3

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