| 粘弹性三维点辐射无限元 |
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| 引用本文： | 谢洪阳,龚文惠,王元汉.粘弹性三维点辐射无限元[J].华中科技大学学报(自然科学版),2007,35(4):110-112. |
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| 作者姓名： | 谢洪阳 龚文惠 王元汉 |
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| 作者单位： | 1. 华中科技大学,土木工程与力学学院,湖北,武汉,430074;南昌航空工业学院,土木建筑系,江西,南昌,330063
2. 华中科技大学,土木工程与力学学院,湖北,武汉,430074 |
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| 基金项目： | 中国科学院重点实验室基金 |
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| 摘 要： | 提出粘弹性三维点辐射8结点无限元模型,以坐标原点为极点,以球面为人工边界,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.推导了辐射无限元的辐射阻尼矩阵.该模型能较好地模拟弹性半空间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,本文方法具有良好的精度.
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| 关 键 词： | 辐射无限元 三维 映射函数 辐射阻尼 粘弹性 三维点 辐射阻尼 无限元 elements 精度 方法 结果 算例 基本解 单元划分 数值计算 恢复力 弹性半空间 模拟 模型 阻尼矩阵 衰减 位移场 无限域 |
| 文章编号： | 1671-4512(2007)04-0110-03 |
| 修稿时间： | 04 20 2006 12:00AM |
Viscoelastic three-dimensional point-radiated infinite elements |
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| Xie Hongyang,Gong Wenhui,Wang Yuanhan.Viscoelastic three-dimensional point-radiated infinite elements[J].JOURNAL OF HUAZHONG UNIVERSITY OF SCIENCE AND TECHNOLOGY.NATURE SCIENCE,2007,35(4):110-112. |
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| Authors: | Xie Hongyang Gong Wenhui Wang Yuanhan |
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| Institution: | 1 College of Civil Engineering and Mechanics, Huazhong University of Science and Technology, Wuhan 430074, China; 2 Department of Civil Engineering, Nanehang Institute of Aeronautical Technology, Nanehang 330063, China |
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| Abstract: | The model of viscoelastic three-dimensional pointradiated 8-node infinite element is presented.The pole is at the origin of the coordinate system,and the artificial boundary is a sphere.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 elastic semi-infinite space.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. |
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| Keywords: | radiate infinite element three-dimensional mapping function radiation damping |
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