| 求解弹性机构非线性运动微分方程的一种高效数值方法 |
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| 引用本文： | 王建平,刘宏昭,原大宁. 求解弹性机构非线性运动微分方程的一种高效数值方法[J]. 西安理工大学学报, 2001, 17(2): 121-125 |
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| 作者姓名： | 王建平 刘宏昭 原大宁 |
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| 作者单位： | 西安理工大学机械与精密仪器工程学院, |
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| 基金项目： | 国家自然科学基金资助项目(50075068),陕西省自然科学基金资助项目(98C12). |
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| 摘 要： | 分析了弹性机构一般形式非线性运动微分方程的结构特点，提出于种利用状态空间法结合迭代法进行求解的数值方法，并改进了矩阵指数函数和具有加边块带状系数矩阵方程组的解法，有效地提高了计算的精度和效率，以连铸机结晶器四偏心式振动机构为例进行动力学分析，说明了该数值方法的正确性和可行性。
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| 关 键 词： | 状态空间法 闭式算法 弹性动力分析 振动机构 弹性机构 连铸机 结晶器 数值计算 |
| 文章编号： | 1006-4710(2001)02-0117-05 |
| 修稿时间： | 2000-08-25 |
An Efficient Numerical Method for Solving the Non-Linear DifferentialMotion Equations of Elastic Mechanism |
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| WANG Jian ping,LIU Hong zhao,YUAN Da ning. An Efficient Numerical Method for Solving the Non-Linear DifferentialMotion Equations of Elastic Mechanism[J]. Journal of Xi'an University of Technology, 2001, 17(2): 121-125 |
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| Authors: | WANG Jian ping LIU Hong zhao YUAN Da ning |
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| Abstract: | A general form of non-linear differential motion equations for the elastic mechanism is analysed. Based on the analysis of the structure property of the equations, a numerical solution method which combines the State Space Method with Iterative Method is put forward. The solution efficiency and precision are improved greatly through analyzing the solution method of the matrix exponent function and the equation groups with belt shape and side block coefficient matrixes. Finally, as an example, the dynamic properties of a mold oscillation mechanism with 4-eccentric axes for continuous casting machine are analyzed. The results illustrate the correctness and feasibility of the method. |
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| Keywords: | state space method closed algorithm elastic dynamic analysis oscillation mechanism |
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