圆形薄膜结构在冲击荷载作用下的动力响应研究
发布时间：2018-11-19 07:57
【摘要】：薄膜结构是大跨空间结构中非常具有发展前景的一种结构形式，同时薄膜结构又是一种大跨轻柔结构，，其质量很轻，形态丰富多彩，造价相对低廉，施工速度快，抗震性能好，是近年来应用非常广泛的一种建筑结构体系。薄膜结构又由于跨度比较大、自身刚度较小和自振频率也相对较小，所以薄膜结构在除自重以外的荷载作用下很可能出现较大横向位移，有时甚至会导致工程事故。薄膜结构在冲击荷载作用下的非线性动力响应问题是非常具有研究价值的课题，因为这类动力响应问题涉及的内容相当复杂，不仅包含较强的几何非线性和材料非线性，而且还有耦合非线性与时间效应问题。这就使得研究这类动力响应问题并且掌握其动力响应规律，用来防止和减少薄膜结构的工程事故，具有重要的研究意义。 本文主要是研究极正交异性和各向同性圆形薄膜在冲击荷载作用下的动力响应问题。首先在薄膜大挠度理论下，利用虚位移原理分别建立了圆形薄膜在给定初始位移条件下的自由振动和在冲击荷载作用下的受迫振动的控制方程，采用L-P摄动法求解振动控制方程得到了圆形薄膜自由振动和受迫振动的振动频率和振动位移表达式。然后使用ANSYS/LS-DYNA对各向同性圆形薄膜结构在冲击荷载作用下的动力响应进行了数值模拟，得到了圆形薄膜受冲击点的振动位移的时程曲线，并且分析了圆形薄膜的半径、密度、预张力、施加冲击荷载小球的速度和质量不同时对其动力响应的影响规律，同时把理论公式计算结果与数值模拟所得结果相互对比，验证了理论推导的正确性。
[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.
【学位授予单位】：重庆大学
【学位级别】：硕士
【学位授予年份】：2014
【分类号】：TU311.3;TU383
本文编号：2341621
[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.
【学位授予单位】：重庆大学
【学位级别】：硕士
【学位授予年份】：2014
【分类号】：TU311.3;TU383
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