节点文献
前屈曲分析中的一种行列式插值法
A determinant interpolation based algorithm in pre-buckling analysis
【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。
【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 are given to validate the effectiveness of the above method and the results of them are satisfactory.
【Key words】 critical load; finite element; pre-buckling; determinant; interpolation;
- 【文献出处】 合肥工业大学学报(自然科学版) ,Journal of Hefei University of Technology(Natural Science) , 编辑部邮箱 ,2011年08期
- 【分类号】O302
- 【下载频次】51