| 随机振动响应方差的直接算法 |
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| 引用本文： | 孔宪仁,廖俊.随机振动响应方差的直接算法[J].航空动力学报,2010,25(3):610-616. |
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| 作者姓名： | 孔宪仁 廖俊 |
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| 作者单位： | 哈尔滨工业大学 航天学院卫星技术研究所, 哈尔滨 150001 |
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| 基金项目： | 长江学者和刨新团队发展计划 |
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| 摘 要： | 将动力学方程经过系统扩阶和模态变换构成李雅普诺夫方程,可直接求得大型有限元结构的平稳随机振动响应方差.用等效线性化方法处理杜芬系统后,求解李雅普诺夫方程可以得到一套高效高精度求解杜芬系统随机振动响应方差的方法.仿真对误差进行了估计,结果验证了方法的高效和精确性.
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| 关 键 词： | Duffing系统 等效线性化方法 方差 有限元 随机分析 |
| 收稿时间： | 2/23/2009 3:53:58 PM |
| 修稿时间： | 4/22/2009 4:51:29 PM |
Direct algorithm for variance of random vibration response |
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| KONG Xian-ren and LIAO Jun.Direct algorithm for variance of random vibration response[J].Journal of Aerospace Power,2010,25(3):610-616. |
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| Authors: | KONG Xian-ren and LIAO Jun |
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| Institution: | Research Center of Satellite Technology, School of Astronautics, Harbin Institute of Technology, Harbin 150001, China |
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| Abstract: | By using of extending order and modal transformation of dynamic equation,a Lyapunov equation is established,and the solution of the Lyapunov equation can directly obtain stationary random vibration response variance of large-scale finite element structure. Duffing system is linearized by equivalent linearization method,and the Lyapunov equation is solved to get the variance of of random vibration response of duffing system.Its precision has been justified by simulation,the ruslt shows the presented method is efficient and precise. |
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| Keywords: | Duffing system equivalent linearization method variance finite element random analysis |
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