辛算法在随机振动响应求解中的应用

留言板

尊敬的读者、作者、审稿人, 关于本刊的投稿、审稿、编辑和出版的任何问题, 您可以本页添加留言。我们将尽快给您答复。谢谢您的支持!

姓名

邮箱

手机号码

标题

留言内容

验证码

Application of symplectic geometry algorithm to the calculation of random response of the dynamic system

1.
The First Aircraft Institute of China Aviation Industry Corporation-I, Xi'an 710089, China
2.
School of Aeronautics Science and Engineering, Beijing University ofAeronautics and Astronautics, Beijing 100083, China

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.
- Duffing振子 /
- 虚拟激励法 /
- 辛算法 /
- 等效线性化方法 /
- 方程差 /
- 能量差
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.
- duffing system /
- pseudo excitation method /
- symplectic geometry algorithm /
- equivalent linearization method /
- equation difference /
- energy difference

[1]	林家浩,张亚辉.随机振动的虚拟激励法[M].北京:科学出版社,2004.
[2]	冯康,秦孟兆.哈密尔顿系统的辛几何算法[M].浙江:浙江科学技术出版社,2003.
[3]	钟万勰,姚征.时间有限元与保辛[J].机械强度.2005,27(2):178-183.ZHONG Wanxie.YAO Zheng.Time domain FEM and symplectic conservation[J].Journal of Mechanical Strength,2005,27(2):178-183.
[4]	余德浩.有限元、自然边界元与辛几何算法[J].高等数学研究,2001,4(4):17-23
[5]	Elishakoff I,Zhang X T.An appraisal of different stochastic linearization techniques[J].Journal of Sound and Vibration,992,53:370-375.

点击查看大图