| 牛顿谐波平衡法求解Euler杆大挠度屈曲问题 |
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| 引用本文： | 李鹏松,周红庆.牛顿谐波平衡法求解Euler杆大挠度屈曲问题[J].东北电力学院学报,2008,28(2):19-22. |
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| 作者姓名： | 李鹏松 周红庆 |
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| 作者单位： | 东北电力大学数理学院，中原工学院信息商务学院 |
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| 摘 要： | 研究Euler杆大挠度屈曲问题。将牛顿法与谐波平衡法组合起来，针对控制方程，分别建立了以杆端转角形式表示的屈曲载荷及最大挠度的解析逼近公式。求解过程中只需解线性方程组就能构造出屈曲载荷及最大挠度的解析逼近公式。几乎在自变量的全部取值范围内，给出的公式都有很高的逼近精度。
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| 关 键 词： | 屈曲 大挠度 牛顿谐波平衡法 |
Newton-Harmonic Balance Method for Solving Buckling Problem of the Euler's Column with Large Deflection |
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| LI Peng-song,ZHOU Hong-qing.Newton-Harmonic Balance Method for Solving Buckling Problem of the Euler's Column with Large Deflection[J].Journal of Northeast China Institute of Electric Power Engineering,2008,28(2):19-22. |
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| Authors: | LI Peng-song ZHOU Hong-qing |
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| Affiliation: | LI Peng-song, ZHOU Hong-qing (1. Science College of Northeast Dianli University,Jilin City,Jilin Province, 132012 ;2. Information and Business College, Zhongyuan University of Technology, Zhengzhou City, Henan Province ,450007 ) |
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| Abstract: | This paper deals with buckling problem of the Euler's column with large deflection.By combining the Newton method with the method of harmonic balance,for the governing equation,we have established analytic approximate formulas for the buckling load and the largest deflection of the column.The method yields simple linear algebraic equations instead of nonlinear algebraic equations without analytical solution.The new analytic approximations for the buckling load and the largest deflection of the Euler's column show excellent agreement with the numerically exact ones,and are valid over nearly the whole range of the independent variable. |
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| Keywords: | Buckling Large deflection Newton-harmonic balance method |
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