|
|||||
|
|
| 前屈曲分析中的一种行列式插值法 | |
| 引用本文： | 韩承双,程再玲,牛忠荣.前屈曲分析中的一种行列式插值法[J].合肥工业大学学报(自然科学版),2011,34(8):1212-1215. |
| 作者姓名： | 韩承双 程再玲 牛忠荣 |
| 作者单位： | 1. 安庆师范学院计算机与信息学院,安徽安庆,246011 2. 安庆师范学院数学与计算科学学院,安徽安庆,246011 3. 合肥工业大学土木与水利工程学院,安徽合肥,230009 |
| 基金项目： | 国家自然科学基金资助项目(1027039) |
| 摘 要： | 文章基于前屈曲分析中的增量方法所提供的解点信息描绘出基本路径的形状,利用切线刚度矩阵行列式之值DET单调下降并在临界点取得零值的特性,计算每个解点的DET值,构造拉格朗日插值函数,用以确定临界载荷和控制计算格式,最后通过几个算例验证了这些方法的良好特性,算例的计算结果是令人满意的. |
| 关 键 词： | 临界载荷 有限元 前屈曲 行列式 插值 |
A determinant interpolation based algorithm in pre-buckling analysis |
|
| HAN Cheng-shuang,CHENG Zai-ling,NIU Zhong-rong.A determinant interpolation based algorithm in pre-buckling analysis[J].Journal of Hefei University of Technology(Natural Science),2011,34(8):1212-1215. | |
| Authors: | HAN Cheng-shuang CHENG Zai-ling NIU Zhong-rong |
| Institution: | HAN Cheng-shuang1,CHENG Zai-ling2,NIU Zhong-rong3(1.School of Computer and Information,Anqing Teachers College,Anqing 246011,China,2.School of Mathematics and Computation Science,3.School of Civil and Hydraulic Engineering,Hefei University of Technology,Hefei 230009,China) |
| Abstract: | The information of solution point provided by the incremental method in pre-buckling analysis is used to describe the shape of basic path.Based on the characteristic of the value of the tangent stiffness matrix determinant DET that decreases monotonously along with load and tends to zero near critical point,the DET value of each solution point is computed and the Lagrange interpolation function of DET is constructed so as to determine the critical load and control the iterative algorithm.Numerical examples ... |
| Keywords: | critical load finite element pre-buckling determinant interpolation |
| 本文献已被 CNKI 万方数据 等数据库收录！ | |