| 梁式结构非线性有限元分析及其在微型机上的实现 |
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| 引用本文： | 薛惠钰.梁式结构非线性有限元分析及其在微型机上的实现[J].苏州大学学报(医学版),1988(3). |
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| 作者姓名： | 薛惠钰 |
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| 作者单位： | 苏州大学物理系 |
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| 摘 要： | 本文讨论梁式结构几何非性静力分析的有限元方法,推导了空间梁大位移切线刚度矩阵,研究了在微型机上实施的方法。为了提高计算效率,采取了分别管理单元线性刚度阵及非线性刚度阵、一次形成线性总刚度阵而多次修改总刚度阵、按内存资源自动分块法修改总刚度阵的策略。节省了计算时间及内存资源,从而在微型机上实现了结构非线性分析。在IBM-PC-XT、机上编制了结构非线性静力分析有限元程序NONDJ-W。给出了对梁、平面柔性刚架、空间柔性刚架的计算实例。有解析近似解的算例表明用有限元的计算结果具有一定的精确度。
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| 关 键 词： | 非线性分析 梁结构 切线刚度矩阵 微型机 |
Nonlinear Analysis of Beam Structure by the Finite Element Method and Its Implementation on Microcomputer |
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| Xue Huiyu Physics.Nonlinear Analysis of Beam Structure by the Finite Element Method and Its Implementation on Microcomputer[J].Journal of Suzhou University(Natural Science),1988(3). |
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| Authors: | Xue Huiyu Physics |
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| Institution: | Xue Huiyu Physics Department |
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| Abstract: | This paper discusses the finite element method to analyse large deflections of beam structure and its implementation on microeonputer. The tangential element stiffness matrix of space frames is deduced. The linear and nonlinear element stiffness matrix are managed seperately. The tangential structure stiffness matrix is formed many times on the basis of the linear structure stiffness matrix. According to the available storage space, the structure stiffness matrix is divided into some blocks and it is modified to form the tangential structnre stiffness matrix. These measures are employed to save the computation time and the storage space. In IBM-PC-XT computer, we have developed a nonlinear finite element analysis program NONDJ-W and several numerical examples by this program are given. |
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| Keywords: | nonl inear analysis beam structure tangential element stiffness matrix microcomputer |
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