| 基于泛函变分的求解振动方程的迭代方法 |
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| 引用本文： | 吴国荣.基于泛函变分的求解振动方程的迭代方法[J].福建工程学院学报,2006,4(1):1-3. |
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| 作者姓名： | 吴国荣 |
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| 作者单位： | 福建工程学院土木工程系,福建,福州,350007 |
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| 基金项目： | 福建省青年科技人才创新基金 |
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| 摘 要： | 结合变分法与拉氏乘子法，构造含拉氏乘子的迭代泛函，由泛函极值条件确定拉氏乘子给出求解振动方程的迭代格式。通过算例说明了该方法实现的具体步骤，其结果同时表明这种方法对于求解振动方程既有效又简便。
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| 关 键 词： | 非线性 振动 变分法 迭代 |
| 文章编号： | 1672-4348（2006）01-0001-03 |
| 收稿时间： | 2005-11-07 |
| 修稿时间： | 2005年11月7日 |
Iterative methods for solving vibration equations based on functional variation |
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| Wu Guorong.Iterative methods for solving vibration equations based on functional variation[J].Journal of Fujian University of Technology,2006,4(1):1-3. |
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| Authors: | Wu Guorong |
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| Abstract: | Iterative functionals are constructed based on variation methods combined with Lagrangian multiplier methods, and iterative formulae for solving vibration equations are given after the Lagrangian multiplier is determined by functional extremum condition. The procedures are illustrated, indicating that this approach is both effective and convenient for solving vibration equations. |
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| Keywords: | nonlinearity vibration variation iteration |
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