【摘要】：薄膜結構是大跨空間結構中非常具有發(fā)展前景的一種結構形式，同時薄膜結構又是一種大跨輕柔結構，，其質量很輕，形態(tài)豐富多彩，造價相對低廉，施工速度快，抗震性能好，是近年來應用非常廣泛的一種建筑結構體系。薄膜結構又由于跨度比較大、自身剛度較小和自振頻率也相對較小，所以薄膜結構在除自重以外的荷載作用下很可能出現(xiàn)較大橫向位移，有時甚至會導致工程事故。薄膜結構在沖擊荷載作用下的非線性動力響應問題是非常具有研究價值的課題，因為這類動力響應問題涉及的內容相當復雜，不僅包含較強的幾何非線性和材料非線性，而且還有耦合非線性與時間效應問題。這就使得研究這類動力響應問題并且掌握其動力響應規(guī)律，用來防止和減少薄膜結構的工程事故，具有重要的研究意義。 本文主要是研究極正交異性和各向同性圓形薄膜在沖擊荷載作用下的動力響應問題。首先在薄膜大撓度理論下，利用虛位移原理分別建立了圓形薄膜在給定初始位移條件下的自由振動和在沖擊荷載作用下的受迫振動的控制方程，采用L-P攝動法求解振動控制方程得到了圓形薄膜自由振動和受迫振動的振動頻率和振動位移表達式。然后使用ANSYS/LS-DYNA對各向同性圓形薄膜結構在沖擊荷載作用下的動力響應進行了數(shù)值模擬，得到了圓形薄膜受沖擊點的振動位移的時程曲線，并且分析了圓形薄膜的半徑、密度、預張力、施加沖擊荷載小球的速度和質量不同時對其動力響應的影響規(guī)律，同時把理論公式計算結果與數(shù)值模擬所得結果相互對比，驗證了理論推導的正確性。
[Abstract]:The thin film structure is a kind of structure which has the development prospect in the long span space structure, at the same time, the film structure is a kind of long span soft structure, its quality is very light, the form is rich and colorful, the cost is relatively low, the construction speed is fast, the earthquake resistance performance is good. In recent years, it is widely used in building structure system. Because the membrane structure has a large span, its own stiffness and natural vibration frequency are relatively small, so the membrane structure under the load other than the deadweight is likely to appear a large lateral displacement, sometimes even lead to engineering accidents. The nonlinear dynamic response of membrane structures under impact loads is a subject of great value, because the contents of this kind of dynamic response problems are very complex, which not only include strong geometric nonlinearity and material nonlinearity. There are also coupling nonlinearity and time effect problems. Therefore, it is of great significance to study the dynamic response problem and grasp its dynamic response law, which can be used to prevent and reduce the engineering accidents of membrane structures. In this paper, the dynamic response of polar orthotropic and isotropic circular films under impact loading is studied. Under the theory of large deflection of thin film, the governing equations of free vibration of circular film under given initial displacement and forced vibration under impact load are established by using the principle of virtual displacement. The L-P perturbation method is used to solve the vibration control equation. The expressions of vibration frequency and vibration displacement of circular film free vibration and forced vibration are obtained. Then the dynamic response of the isotropic circular thin film structure under impact load is simulated by ANSYS/LS-DYNA. The vibration displacement curve of the circular film is obtained, and the radius of the circular film is analyzed. The influence of density, pretension, and the velocity and mass of the small ball under impact load on its dynamic response is discussed. The theoretical formula is compared with the result of numerical simulation, which verifies the correctness of the theoretical derivation.
【學位授予單位】：重慶大學
【學位級別】：碩士
【學位授予年份】：2014
【分類號】：TU311.3;TU383

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