基于環(huán)境振動(dòng)的設(shè)縫相鄰結(jié)構(gòu)模態(tài)參數(shù)識(shí)別及有限元模型修正
本文選題:變形縫 + 相鄰結(jié)構(gòu)。 參考:《北京交通大學(xué)》2017年碩士論文
【摘要】:對(duì)于設(shè)縫相鄰結(jié)構(gòu),在設(shè)計(jì)階段通常假定彼此是相互獨(dú)立的。結(jié)構(gòu)建成后,變形縫的處理措施可能引起相鄰結(jié)構(gòu)的相互作用,進(jìn)而改變獨(dú)立結(jié)構(gòu)的動(dòng)力特性。因此,本文利用環(huán)境振動(dòng)測試,并考慮測試誤差和模型誤差的不確定性,利用概率方法對(duì)設(shè)縫相鄰結(jié)構(gòu)的模態(tài)參數(shù)進(jìn)行識(shí)別,分析變形縫對(duì)相鄰結(jié)構(gòu)動(dòng)力特性的影響,并提出設(shè)縫相鄰結(jié)構(gòu)的有限元建模方法。為了考慮模型參數(shù)設(shè)計(jì)值與實(shí)際值的區(qū)別及測試誤差和模型誤差的不確定性,得到更為精確的有限元模型,利用概率方法和識(shí)別結(jié)果對(duì)所建立的有限元模型進(jìn)行修正。本文的主要研究內(nèi)容及結(jié)論如下:(1)分別對(duì)三棟多層設(shè)縫鋼筋混凝土相鄰結(jié)構(gòu)進(jìn)行了環(huán)境振動(dòng)測試,利用實(shí)測加速度數(shù)據(jù)和快速貝葉斯FFT方法對(duì)結(jié)構(gòu)進(jìn)行了模態(tài)參數(shù)識(shí)別,得到了相鄰結(jié)構(gòu)的自振頻率、阻尼比、振型的最有可能值及定量表征其不確定性的變異系數(shù)。識(shí)別結(jié)果表明:樓板裝修面層如地磚在伸縮縫處未斷開,則相鄰結(jié)構(gòu)的動(dòng)力特性完全相同,即通過變形縫處的連接成為一個(gè)整體,結(jié)構(gòu)間為強(qiáng)相互作用;伸縮縫內(nèi)有剛性填充物,則相鄰結(jié)構(gòu)的扭轉(zhuǎn)模態(tài)會(huì)比沿長軸方向的平動(dòng)模態(tài)提前出現(xiàn),結(jié)構(gòu)間為中等相互作用;防震縫按照設(shè)計(jì)來施工,則由于相鄰結(jié)構(gòu)間的相互作用產(chǎn)生的模態(tài)會(huì)出現(xiàn)在較低或等高的結(jié)構(gòu)中,結(jié)構(gòu)間為弱相互作用。(2)定量考慮模型誤差及測試誤差的不確定性,提出了一種基于貝葉斯理論和應(yīng)用程序交互訪問的有限元模型修正方法,實(shí)現(xiàn)了對(duì)精細(xì)化有限元模型物理參數(shù)的直接修正,通過數(shù)值算例驗(yàn)證了該方法的可行性,對(duì)比分析了兩種不同貝葉斯目標(biāo)函數(shù)的修正效果。(3)提出了設(shè)縫相鄰結(jié)構(gòu)的有限元建模方法:利用跨越伸縮縫的板模擬結(jié)構(gòu)間的強(qiáng)相互作用,利用在伸縮縫處增加長軸向剛度模擬結(jié)構(gòu)間的中等相互作用,對(duì)于結(jié)構(gòu)間的弱相互作用采用相互獨(dú)立的模型,三棟設(shè)縫相鄰結(jié)構(gòu)的有限元模態(tài)分析結(jié)果與識(shí)別結(jié)果基本一致。同時(shí),利用前文所提方法和識(shí)別結(jié)果,對(duì)所測相鄰結(jié)構(gòu)的有限元模型進(jìn)行了修正,取得了較好的修正效果。
[Abstract]:For seams adjacent structures, it is usually assumed that they are independent of each other at the design stage. After the construction of the structure, the treatment measures of the deformation joint may cause the interaction of adjacent structures, and then change the dynamic characteristics of the independent structure. Therefore, in this paper, the modal parameters of adjacent structures with joints are identified by using the probabilistic method, and the influence of deformation joints on the dynamic characteristics of adjacent structures is analyzed by using the environmental vibration test and considering the uncertainty of test error and model error. A finite element modeling method for adjacent structures with joints is proposed. In order to consider the difference between the design value and the actual value of the model parameters and the uncertainty between the test error and the model error, a more accurate finite element model is obtained, and the established finite element model is modified by the probability method and the recognition result. The main contents and conclusions of this paper are as follows: (1) the environmental vibration of three adjacent multi-story reinforced concrete structures is measured, and the modal parameters are identified by using the measured acceleration data and the fast Bayesian FFT method. The most probable values of the natural frequency, damping ratio, mode shape of adjacent structures and the coefficient of variation that quantitatively characterize the uncertainty of the adjacent structures are obtained. The identification results show that the dynamic characteristics of adjacent structures are identical if floor tiles are not disconnected at the expansion joints, that is, the joints are connected into a whole and the structures are strongly interacted. If there is a rigid filler in the expansion joint, the torsional mode of the adjacent structure will appear earlier than the translational mode along the long axis, and the interaction between the structures will be moderate. Then the modes produced by the interaction between adjacent structures will appear in the structure of lower or equal height, and the uncertainty of the model error and the test error will be taken into account in the quantitative consideration of the uncertainty of the model error and the test error. A finite element model modification method based on Bayesian theory and interactive access of application programs is proposed. The physical parameters of the refined finite element model are directly modified. The feasibility of the method is verified by numerical examples. A finite element modeling method for adjacent structures with joints is proposed. The finite element modeling method is used to simulate the strong interaction between structures by means of plates spanning expansion joints. The intermediate interaction between the structures is simulated by adding long axial stiffness to the expansion joints, and the weak interaction between the structures is modeled by an independent model. The results of the finite element modal analysis of the three jointed adjacent structures are in good agreement with the identification results. At the same time, the finite element model of the adjacent structures is modified by using the method and the recognition results, and a better effect is obtained.
【學(xué)位授予單位】:北京交通大學(xué)
【學(xué)位級(jí)別】:碩士
【學(xué)位授予年份】:2017
【分類號(hào)】:TU311.3
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