Elastodynamic Green’s Function for Laminated Anisotropic Circular Cylinders
Elastodynamic Green’s Function for Laminated Anisotropic Circular Cylinders
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层压各向异性圆柱体的弹性动力学格林函数
DOI：
10.1115/1.2791535
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发表时间：
1999
期刊：
影响因子：
--
通讯作者：
S. B. Dong
中科院分区：
文献类型：
--
作者：
W. Zhuang;A. H. Shah;S. B. Dong
本文给出了各向异性层合圆柱体稳态绿色函数的构造方法。圆柱体在其深度上的轮廓由任意数量的完美结合的、厚度均匀的同心圆柱体层组成，每个层都能够具有其自己独特的弹性圆柱体各向异性特性。绿色的功能是预测从一个系统的方程的基础上的半解析有限元公式的数值生成的模态解的叠加。提出了两种方法，其建设，都依赖于同一组特征数据。一种是通过积分变换。另一个问题可以看作是在对称/反对称条件下，在含有源载荷的横截面上，具有柱面单变特性的圆柱的受迫振动。第二种方法，更严格的材料性能方面，主要是作为一个交叉检查的积分变换版本的绿色的功能。数值实现的细节进行了讨论，在两个例子的厚度剖面显示的收敛性和准确性的绿色的功能的关键。
The construction of a steady-state Green's function for a laminated anisotropic circular cylinder is presented herein. The cylinder's profile through its depth consists of any number of perfectly bonded, uniform thickness concentric cylindrical layers, with each able of having its own distinct elastic cylindrically anisotropic properties. Green's function is predicated on the superposition of numerically generated modal solutions from a system of equations based on a semi-analytical finite element formulation. Two methods are proposed for its construction, both relying on the same set of eigendata. One is by means of an integral transform. The other may be viewed as the forced vibration of a cylinder with cylindrically monotropic properties under symmetry/antisymmetry conditions on the cross section containing the source load. The second method, being more restrictive with respect to material properties, was intended primarily as a cross-check of the integral transform version of Green's function. Numerical implementation details are discussed in terms of two example thickness profiles to show the essential keys for the convergence and accuracy of Green's function.