[1]邱文龙,林福泳.用C_n群解梁弯曲问题[J].华侨大学学报(自然科学版),2005,26(1):62-65.[doi:10.3969/j.issn.1000-5013.2005.01.016]
　Qiu Wenlong,Lin Fuyong.Solving the Bending of Beam by Using C_n Group[J].Journal of Huaqiao University(Natural Science),2005,26(1):62-65.[doi:10.3969/j.issn.1000-5013.2005.01.016]
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用C_n群解梁弯曲问题()
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《华侨大学学报（自然科学版）》[ISSN:1000-5013/CN:35-1079/N]

卷:
第26卷
期数:
2005年第1期
页码:
62-65
栏目:
出版日期:
2005-01-20

文章信息/Info

Title:
Solving the Bending of Beam by Using C_n Group
文章编号:
1000-5013(2005)01-0062-04
作者:
邱文龙; 林福泳
华侨大学机电及自动化学院; 华侨大学机电及自动化学院 福建泉州362021; 福建泉州362021
Author(s):
Qiu Wenlong;  Lin Fuyong
College of Mechanical Engineering and Automation, Huaqiao University, 362021, Quanzhou, China
关键词:
群;  有限元;  弯曲问题;  正交函数
Keywords:
group;  finite element;  problem of bending;  orthogonal function
分类号:
TB12; TB111
DOI:
10.3969/j.issn.1000-5013.2005.01.016
文献标志码:
A
摘要:
应用Cn 群的表示理论,将分布多项式分解为正交特征分布多项式 .周期函数采用正交特征多项式逼近 .将均匀梁结构延拓并加上附加载荷,使梁的位移化为周期函数 .利用正交特征分布多项式,逼近梁的位移函数 .应用能量法求在载荷作用下梁位移的各个多项式的系数,通过边界条件确定附加载荷的大小 .所述方法基本上为有限元方法,其逼近精度与有限元是一致的 .此方法在求解中应用正交函数,因而大大减低有限元的计算量 .该计算量与边界元相仿 .
Abstract:
The representation theory of C n group is applied to the decomposition of distributed polynominals into distributed polynomial with characteristic of orthogonality, which is adopted for approximating periodic function. A homogeneous structure of beam is in continuation and bears additional load; and the displacement of the beam is converted into periodic function. Thus the authors use distributed polynomial with orthogonal characteristic for approximating displacement function of the beam; and apply energy method for solving coefficient of each polynomial reflecting dispacement of beam under the action of load; and draw support from boundary condition for determining the size of additional load. The method mentioned above is basically the finite element methoel with the same approximation accuracy. The method apply orthogonal functions in its solving. As a result, its amount of calculation is less than that of finite element method but is similar to that of buoundary element method.

参考文献/References:

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更新日期/Last Update: 2014-03-23