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边界元法中非对称满系数矩阵方程组的拟波阵解法及程序 总被引:2,自引:0,他引:2
本文提出求解边界元法中非对称满系数矩阵方程组的拟波阵法,即边形成方程边采用高斯-约当消去法进行消元,在计算机中只需存储整个系数矩阵的四分之一部分。文中给出了相应的FORTRAN子程序。经使用表明,该程序经济有效,简单实用,大量节省了计算机的容量,加倍提高了解题能力,为小机器解大题目提供了方便。此外,该法普遍适用于任何可以逐行形成方程的非对称满系数矩阵方程组的求解。 相似文献
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常微分方程技术及其在固体力学计算中的应用 总被引:2,自引:0,他引:2
常微分方程(ODE——Ordinary Differential Equation)边值问题的最新计算求解技术的迅速发展推出了一批高质高效的通用软件,而工程中大量的ODE问题并非呈现为这些求解器(Solver)所接受的标准形式。然而,运用一些简单的ODE变换技巧可以将大量的不同类型的特殊问题转化为标准形式。本文列举了若干常用的变换技巧,并广泛地应用于各种固体力学问题的计算中,使大量的ODE问题在形式上得到统一,得以用标准的ODE Solver方便有效地求解。 相似文献
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1.引言 随着近年来常微分方程(简称:ODE——Ordinary Differential Equation)边值问题的最新计算求解技术的迅速发展,一批高质高效的通用求解软件程序相继问世。就笔者对一些软件的使用经验及比较来看,COLSYS程序是一个很值得推荐的ODE求解器。本文特对此程序作一介绍。 相似文献
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空间几何构造分析的有限单元法 总被引:2,自引:0,他引:2
提出空间杆系几何构造分析的有限单元法,构造了两种单元(链杆单元和准梁单元)的几何约束矩阵,集成为整体矩阵并引入承条件后,通过对其阶数与秩的比较分析确定体系的几何可变性及静定性.本法原理简单,便于计算机实施,结果完备:对于几何不变体系,可指出多余约束的数目;对于几何可变体系,可给出体系的自由度数及相应的运动模态,并确定自由度的常变瞬变性质. 相似文献
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SELF-ADAPTIVE STRATEGY FOR ONE-DIMENSIONAL FINITE ELEMENT METHOD BASED ON ELEMENT ENERGY PROJECTION METHOD 总被引:1,自引:0,他引:1
Based on the newly-developed element energy projection (EEP) method for computation of super-convergent results in one-dimensional finite element method (FEM), the task of self-adaptive FEM analysis was converted into the task of adaptive piecewise polynomial interpolation. As a result, a satisfactory FEM mesh can be obtained, and further FEM analysis on this mesh would immediately produce an FEM solution which usually satisfies the user specified error tolerance. Even though the error tolerance was not completely satisfied, one or two steps of further local refinements would be sufficient. This strategy was found to be very simple, rapid, cheap and efficient. Taking the elliptical ordinary differential equation of second order as the model problem, the fundamental idea, implementation strategy and detailed algorithm are described. Representative numerical examples are given to show the effectiveness and reliability of the proposed approach. 相似文献
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基于新近提出的具有最佳超收敛阶的单元能量投影(EEP)超收敛算法,提出用具有最佳超收敛阶的EEP超收敛解对有限元解进行误差估计,用均差法进行网格划分,用拟有限元解进行多次遍历而不反复求解有限元真解,形成一套新型的一维有限元自适应求解策略.该法理论上简明清晰,算法上高效可靠,对于大多数问题,一步自适应迭代便可给出按最大模度量逐点满足误差限的有限元解答.以二阶椭圓型常微分方程模型问题为例,介绍了该法的基本思想、实施策略及具体算法,并给出具有代表性的数值算例,以展示该法的优良性能和效果. 相似文献
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THE VIBRATION AND STABILITY ANALYSIS OF MODERATE THICK PLATES BY THE METHOD OF LINES 总被引:1,自引:0,他引:1
The method of lines based on Hu Hai-chang's theory for the vibration and stability of moderate thick plates is developed. The standard nonlinear ordinary differential equation (ODE) system for natural frequencies and critical load is given by use of ODE techniques, and then any indicated eigenvalue could be obtained directly from ODE solver by employing the so-called initial eigenfunction technique instead of the mode orthogonality condition.Numerical examples show that the present method is very effective and reliable. 相似文献