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A Green's Function Approach for Dynamic Stress Analysis of Spherical Shell under the Isotropic Impact Load

机译:各向同性冲击载荷作用下球壳动应力分析的格林函数方法

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摘要

A Green's function approach is developed for the analytic solution of thick-walled spherical shell under an isotropic impact load, which involves building Green's function of this problem by using the appropriate boundary conditions of thick-walled spherical shell. This method can be used to analyze displacement distribution and dynamic stress distribution of the thick-walled spherical shell. The advantages of this method are able (1) to avoid the superposition process of quasi-static solution and free vibration solution during decomposition of dynamic general solution of dynamics, (2) to well adapt for various initial conditions, and (3) to conveniently analyze the dynamic stress distribution using numerical calculation. Finally, a special case is performed to verify that the proposed Green's function method is able to accurately analyze the dynamic stress distribution of thick-walled spherical shell under an isotropic impact load.
机译:针对各向同性冲击载荷下厚壁球壳的解析解,提出了格林函数方法,该方法包括通过使用适当的厚壁球壳边界条件来建立该问题的格林函数。该方法可用于分析厚壁球壳的位移分布和动应力分布。该方法的优点是:(1)避免了动力学一般动态解的分解过程中的准静态解和自由振动解的叠加过程;(2)很好地适应了各种初始条件;(3)方便了使用数值计算分析动应力分布。最后,通过特殊情况验证了所提出的格林函数方法能够准确地分析各向同性冲击载荷下厚壁球壳的动态应力分布。

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  • 来源
    《Mathematical Problems in Engineering》 |2015年第24期|169468.1-169468.7|共7页
  • 作者单位

    Anyang Normal Univ, Sch Civil Engn & Architecture, Anyang 455000, Henan, Peoples R China;

    Anyang Normal Univ, Sch Civil Engn & Architecture, Anyang 455000, Henan, Peoples R China;

    Anyang Normal Univ, Sch Civil Engn & Architecture, Anyang 455000, Henan, Peoples R China;

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