摘要
提出粘弹性三维轴辐射8结点无限元模型,以坐标系的z轴为极轴,以圆柱面为人工边界,用边界点的坐标和位移表示无限元内部任意点的坐标和位移。坐标映射函数和位移函数简单明了,能够方便地反映无限域内位移场的衰减特点。推导了轴辐射无限元的辐射阻尼矩阵。该模型能较好地模拟成层无限弹性体的弹性恢复力和辐射阻尼,数值计算时只需对边界进行无限元的单元划分,无需基本解。算例结果表明,文中方法具有良好的精度。
The model of viscoelastic three-dimensional axis-radiate 8-node infinite element is presented.The pole is the z-axis of the coordinate system,and the artificial boundary is a cylinder.The coordinate and displacement of any point within the infinite element are expressed by those of the nodes located on the artificial boundary.The concise mapping functions can easily express the attenuation character of the displacement field within the infinite domain.The radiation damping matrix of the infinite element is derived.The presented model can be used to simulate both the elastic recovery capacity and radiation damping of the infinite layered elastic continuum.In the numerical calculation,the infinite element mesh is performed only on the artificial boundary and the general solution is not needed.Results of the examples show the accuracy of the presented method.
出处
《武汉理工大学学报》
CAS
CSCD
北大核心
2010年第11期81-85,共5页
Journal of Wuhan University of Technology
基金
江西省教育厅青年科学基金(GJJ09496)
南昌航空大学博士启动金(EA200811211)
关键词
轴辐射无限元
映射函数
辐射阻尼
三维
axis-radiate infinite element
mapping function
radiation damping
three-dimensional
