本文選題：背景響應(yīng) + 共振響應(yīng)��； 參考：《東南大學(xué)》2015年碩士論文

【摘要】：大跨屋蓋結(jié)構(gòu)具有造型優(yōu)美,力學(xué)性能良好的特點(diǎn),近些年來廣泛應(yīng)用于各類建筑中,但目前我國(guó)規(guī)范只有針對(duì)高聳建筑的風(fēng)振計(jì)算,并沒有大跨屋蓋的風(fēng)振計(jì)算。本文以雙層柱面網(wǎng)殼為研究背景,在理論上對(duì)網(wǎng)殼風(fēng)振響應(yīng)機(jī)理、計(jì)算方法進(jìn)行了一系列研究。本文的主要研究工作如下：1.比較頻域內(nèi)風(fēng)振響應(yīng)的兩種計(jì)算方法。分別計(jì)算背景響應(yīng)、共振響應(yīng),然后疊加得到總響應(yīng)的結(jié)果,與采用自適應(yīng)Simpson算法直接計(jì)算得到的結(jié)果是一致的。不同模態(tài)下的共振響應(yīng)與背景響應(yīng)的比例,隨著模態(tài)階數(shù)升高而減小。低階模態(tài)以共振響應(yīng)為主,高階模態(tài)以背景響應(yīng)為主。2.振型截取研究。結(jié)構(gòu)整體背景響應(yīng)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(yīng)。在總結(jié)整體背景響應(yīng)、振型背景響應(yīng)的基礎(chǔ)上,提出背景響應(yīng)的振型能量參與系數(shù)計(jì)算方法,由振型能量參與系數(shù)獲得累積振型能量參與系數(shù)。通過累積振型能量參與系數(shù),判斷所選振型是否合理。對(duì)于雙層柱面網(wǎng)殼結(jié)構(gòu),取前20階模態(tài)便可滿足需求。3.時(shí)域和頻域一致性研究。利用線性濾波法模擬出脈動(dòng)風(fēng)速時(shí)程,并進(jìn)行統(tǒng)計(jì)檢驗(yàn)：利用脈動(dòng)風(fēng)速時(shí)程,得出脈動(dòng)風(fēng)力時(shí)程,在Ansys中進(jìn)行時(shí)程分析,獲得各點(diǎn)的位移響應(yīng)根方差。振型組合采用CQC法和時(shí)域計(jì)算結(jié)果吻合,振型組合采用SRSS法和時(shí)域結(jié)果有一定誤差。4.風(fēng)致響應(yīng)影響因素研究。利用頻域分析方法,分別對(duì)模態(tài)耦合項(xiàng)、脈動(dòng)風(fēng)速譜、空間相干函數(shù)、地面粗糙度、體型系數(shù)、基本風(fēng)壓、阻尼比進(jìn)行研究。研究表明：模態(tài)耦合項(xiàng)、空間相干函數(shù)對(duì)位移響應(yīng)向量空間分布有影響；體型系數(shù)對(duì)位移響應(yīng)較��；地面粗糙度、基本風(fēng)壓、阻尼比只影響位移響應(yīng)的幅值。5.脈動(dòng)風(fēng)等效靜力風(fēng)荷載和風(fēng)振系數(shù)研究。介紹了改進(jìn)LRC法計(jì)算等效靜力風(fēng)荷載原理。通過分析,改進(jìn)LRC法計(jì)算得出的指定節(jié)點(diǎn)的峰值位移和CQC方法的計(jì)算結(jié)果吻合的非常好,誤差在6%以內(nèi)。通過對(duì)三個(gè)算例的豎向位移風(fēng)振系數(shù)分析,發(fā)現(xiàn)在整體上豎向位移風(fēng)振系數(shù)分布較平緩,離散較小；位移風(fēng)振系數(shù)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(xué)位授予單位】：東南大學(xué)
【學(xué)位級(jí)別】：碩士
【學(xué)位授予年份】：2015
【分類號(hào)】：TU399;TU311.3

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