[1]罗帅,朱佳洋,梁超锋,等.有限元模型整体刚度矩阵集成[J].深圳大学学报理工版,2018,35(5):467-472.[doi:10.3724/SP.J.1249.2018.05467]
 LUO Shuai,ZHU Jiayang,LIANG Chaofeng,et al.Assembling global stiffness matrix for finite element model[J].Journal of Shenzhen University Science and Engineering,2018,35(5):467-472.[doi:10.3724/SP.J.1249.2018.05467]
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有限元模型整体刚度矩阵集成()
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《深圳大学学报理工版》[ISSN:1000-2618/CN:44-1401/N]

卷:
第35卷
期数:
2018年第5期
页码:
467-472
栏目:
土木建筑工程
出版日期:
2018-09-25

文章信息/Info

Title:
Assembling global stiffness matrix for finite element model
作者:
罗帅朱佳洋梁超锋刘伟
1)绍兴文理学院土木工程学院, 浙江绍兴 312000;2)广东交通职业技术学院, 广东广州 510650
Author(s):
LUO Shuai1 ZHU Jiayang1 LIANG Chaofeng1 and LIU Wei2
1) Shaoxing University, Shaoxing 312000, Zhejiang Province, P.R.China2) Guangdong Communication Polytechnic, Guangzhou 510650, Guangdong Province, P.R.China
关键词:
结构工程有限元模型整体刚度矩阵单元刚度矩阵关联表过渡矩阵
Keywords:
structural engineering finite element model global stiffness matrix element stiffness matrix link table transition matrix
分类号:
O 302; TU 12
DOI:
10.3724/SP.J.1249.2018.05467
文献标志码:
A
摘要:
在有限元分析过程中,定位单元刚度矩阵中的元素在整体刚度矩阵中的位置对结构分析模型的正确建立起着重要作用.为了探究单元刚度矩阵向整体刚度矩阵的集成规律,基于能量原理推导了单元刚度矩阵和整体刚度矩阵之间的对应关系,得到单元刚度矩阵元素在整体刚度矩阵中的位置,依据单元结点号与结构整体坐标系下的结点编号的对应关系建立了统一的关联表,形成基于关联表的整体矩阵集成方法.与目前常用的结点平衡法相比,本文所建立的整体矩阵集成方法物理意义明确,建模过程简便快捷,且可靠稳定.算例分析结果表明该方法适合用有限元编程实现.
Abstract:
Locating the position of element stiffness matrix in global stiffness matrix plays an important part in establishing analysis model by finite element method. For the purpose of assembling global stiffness matrix from element stiffness matrix, we derive the correspond relationship between the element stiffness matrix and the global stiffness matrix according to the energy principle in this paper. We identify the position of the element stiffness matrix in the global stiffness matrix , and generate the unified link table based on the correspondence between the node number of the element matrix and the node number in the global coordinate system. On the basis of link table, we establish the integrating global stiffness matrix. We find that the new global matrix assembling method has clear physical significance and is rigorous logic reasoning, as well as simple for comprehension and calculation. The example analysis shows that our method is suitable for finite element programming.

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更新日期/Last Update: 2018-08-21