功能梯度圆柱/圆锥扁壳气动热弹性非线性动力学行为研究

项目名称： 功能梯度圆柱/圆锥扁壳气动热弹性非线性动力学行为研究

项目编号： No.11272063

项目类型： 面上项目

立项/批准年度： 2013

项目学科： 数理科学和化学

项目作者： 郝育新

作者单位： 北京信息科技大学

项目金额： 80万元

中文摘要： 作为重要的结构元件，功能梯度材料扁壳结构常常应用于复杂的工作环境中，当其在流场中发生振动时，这些结构需要承受气动载荷、机械载荷等，而气动热效应对结构振动的影响也不容忽视。因此，研究功能梯度材料圆柱、圆锥扁壳结构的气动热弹性非线性响应具有重要的理论和实际意义。本项目拟在计及材料物性参数随温度变化的前提下，综合考虑扁壳结构的几何非线性、考虑气动力和机械载荷以及温度场共同作用，建立功能梯度材料圆柱和截顶圆锥扁壳的气动热弹性非线性动力学模型，通过理论分析和数值计算相结合的方法对功能梯度材料圆柱和截顶圆锥扁壳结构的气动热弹性非线性动力学行为进行深入研究，研究系统发生内共振的几何、物理条件，研究几何和物性参数对扁壳气动热弹性非线性动力响应的影响，为优化和控制功能梯度材料圆柱、截顶圆锥扁壳结构动力学行为提供理论依据，促进非线性动力学理论更好的发展及其在实际工程中的应用。

中文关键词： 功能梯度；圆锥壳；圆柱壳；气动热弹；非线性动力学

英文摘要： Functionally graded materials shallow shells are very important structural elements. These structures are often used in complex environments. When they exposed to high velocity air flow over the external surface and the vibration coour,they will be subjecte d to the aero-thermo-elastic loading. It is of great theoretical and realistic significance to studying the nonlinear dynamical responses of them.The aim of this term focuses on research of the complicated nonlinear dynamics of the FGM cylindrical and truncated comical shallow shells by the methods of theoretical analysis and numerical simulation.The shallow shells are in air flow and subjected to an external excitation. The geometrically nonlinear dynamic governing equations of functionally graded shallow shells are derived in the framework of shear deformation shell theory.Material properties of the constituents are assumed to be temperature-independent. The effects of plate geometry and physical parameters on the internal resonance relationship and nonlinear dynamic response of FGM plates will be studied in detail. We hope this research can play a significant role in the structure design and vibration control for the FGM shallow shells in engineering applications.

英文关键词： Functionally Graded Materials；conical shell；circular cylindrical shell；nonlinearing dynamics；aero-thermo-elasticity