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基于隨機振動的多層框架結構地震響應分析

發(fā)布時間:2019-06-19 20:56
【摘要】:隨著現(xiàn)代實驗和計算機技術的迅速發(fā)展,隨機振動理論在土木工程實踐中應用非常廣泛。二十年來我國在隨機振動領域作出了多項具有國際影響的突破性成果,其中包括虛擬激勵法。虛擬及理論法首先在中國發(fā)展出來和快速地得到日益廣泛的應用也并不是偶然的,它的出發(fā)點只是在基本方程中作了一次參數(shù)的轉換,看似簡單,但是也已經(jīng)滿足了經(jīng)典的隨機振動均方解的表達。我國是一個地震多發(fā)國家,且地震區(qū)較分散,所以對建筑結構進行抗震研究具有非常重要的意義。隨機振動虛擬激勵法在其計算效率等方面較其他任何傳統(tǒng)計算方法而言都有實質性的突破。虛擬激勵法是把平穩(wěn)隨機響應轉變成簡諧響應然后計算、把非平穩(wěn)的隨機響應轉變普通逐步積分進行計算分析。主要研究混凝土框架結構在隨機地震動作用下結構響應的計算方法與地震響應特征進行分析,從以下幾個方面開始著手研究: 1.確定何如將地震加速度轉化成曲線并在模型中實現(xiàn);綜合大量的理論數(shù)據(jù)以及一些參考文獻,將虛擬激勵法的理論方面的知識弄的清晰,使其原理比較明確,為以后建模及使用結論做好理論依據(jù)。 2.根據(jù)隨機振動虛擬激勵法,對多層框架結構進行隨機地震的響應分析,對多層框架結構進行簡化的處理,并根據(jù)隨機振動虛擬激勵法使用MATLAB自編小程序與通用的有限元軟件SAP2000分別對模型進行自振分析并比較。 3.通過軟件計算、分析,總結分析結果,得出有益結論,可以再地震中有良好的使用價值,這才是研究的最終目的。
[Abstract]:With the rapid development of modern experiments and computer technology, random vibration theory is widely used in civil engineering practice. In the past 20 years, China has made many breakthroughs in the field of random vibration, including virtual excitation method. It is not accidental that the virtual and theoretical methods have been developed and applied more and more quickly in China. Its starting point is only to make a parameter transformation in the basic equation, which seems simple, but also satisfies the classical expression of the mean square solution of random vibration. China is a country with frequent earthquakes, and the seismic area is scattered, so it is of great significance to carry out seismic research on building structures. Compared with any other traditional calculation method, the random vibration virtual excitation method has a substantial breakthrough in its computational efficiency. The virtual excitation method converts the stationary random response into the harmonic response and then calculates the non-stationary random response into the ordinary stepwise integral for calculation and analysis. This paper mainly studies the calculation method and seismic response characteristics of concrete frame structure under random ground motion, and starts from the following aspects: 1. It is determined why the seismic acceleration should be transformed into a curve and realized in the model, and the theoretical knowledge of the virtual excitation method can be made clear by synthesizing a large number of theoretical data and some references, so that the principle of the virtual excitation method can be made clear, and the theoretical basis for the future modeling and application of the conclusion will be made. two銆,

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