| 辛算法在随机振动响应求解中的应用 |
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| 引用本文： | 罗务揆,邢誉峰,杨蓉.辛算法在随机振动响应求解中的应用[J].航空动力学报,2008,23(1):37-43. |
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| 作者姓名： | 罗务揆 邢誉峰 杨蓉 |
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| 作者单位： | 1. 中航第一飞机研究院,西安,710089;北京航空航天大学,航空科学与工程学院,北京,100083
2. 北京航空航天大学,航空科学与工程学院,北京,100083 |
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| 摘 要： | 以能量差为基础的等效线性化方法来线性化Duffing系统,然后结合虚拟激励法和四阶辛差分格式来求解线性系统的随机响应问题,从而得到了一套高效高精度求解动力系统随机响应的方法.数值结果验证了该结论的正确性.
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| 关 键 词： | Duffing振子 虚拟激励法 辛算法 等效线性化方法 方程差 能量差 |
| 文章编号： | 1000-8255(2008)01-0037-07 |
| 收稿时间： | 2006/12/1 0:00:00 |
| 修稿时间： | 2006年12月1日 |
Application of symplectic geometry algorithm to the calculation of random response of the dynamic system |
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| LUO Wu-kui,XING Yu-feng and YANG Rong.Application of symplectic geometry algorithm to the calculation of random response of the dynamic system[J].Journal of Aerospace Power,2008,23(1):37-43. |
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| Authors: | LUO Wu-kui XING Yu-feng and YANG Rong |
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| Institution: | The First Aircraft Institute of China Aviation Industry Corporation-I, Xi'an 710089, China;School of Aeronautics Science and Engineering, Beijing University ofAeronautics and Astronautics, Beijing 100083, China;School of Aeronautics Science and Engineering, Beijing University ofAeronautics and Astronautics, Beijing 100083, China;School of Aeronautics Science and Engineering, Beijing University ofAeronautics and Astronautics, Beijing 100083, China |
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| Abstract: | Duffing system was linearized by equivalent linearization method based on energy difference,then,the random response of the linear system was solved by combining the pseudo excitation method and four-order symplectic geometry algorithm.It is concluded that an approach to combine the pseudo excitation method,symplectic geometry algorithm and equivalent linearization method is accurate and efficient. |
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| Keywords: | duffing system pseudo excitation method symplectic geometry algorithm equivalent linearization method equation difference energy difference |
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