| 求解非线性动力学方程的预测-校正数值算法 |
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| 引用本文： | 黄涛,樊建平,何建平,王乘.求解非线性动力学方程的预测-校正数值算法[J].固体力学学报,2007,28(1):1-6. |
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| 作者姓名： | 黄涛 樊建平 何建平 王乘 |
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| 作者单位： | 华中科技大学工程计算与仿真研究所,武汉,430074 |
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| 摘 要： | 提出了一种求解非线性动力学方程的预测-校正数值算法.由于校正过程消除了线性化带来的误差,使计算精度得到较大提高.数值算例表明该方法正确、有效.
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| 关 键 词： | 非线性动力学 直接积分法 内共振 饱和(渗透)现象 跳跃现象 分岔 |
| 修稿时间： | 2006年3月8日 |
A PREDICT-CORRECT NUMERICAL INTEGRATION SCHEME FOR SOLVING NONLINEAR DYNAMIC EQUATIONS |
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| Huang Tao,Fan Jianping,He Jianping,Wang Cheng.A PREDICT-CORRECT NUMERICAL INTEGRATION SCHEME FOR SOLVING NONLINEAR DYNAMIC EQUATIONS[J].Acta Mechnica Solida Sinica,2007,28(1):1-6. |
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| Authors: | Huang Tao Fan Jianping He Jianping Wang Cheng |
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| Abstract: | A new numerical integration scheme incorporating a predict-correct algorithm for solving the nonlinear dynamic systems was proposed in this paper.Since the error caused by linearization can be eliminated in the correction process,the calculation accuracy is greatly improved.Numericl results show the correctness and validity of the method. |
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| Keywords: | nonlinear dynamics direct integration method internal resonance saturation phenomenon jumping phenomenon bifurcation |
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