| 一类受随机激励的强非线性包装振动系统的随机平均 |
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| 引用本文： | 陈倩,甘春标,郭云松. 一类受随机激励的强非线性包装振动系统的随机平均[J]. 包装工程, 2007, 28(7): 1-3 |
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| 作者姓名： | 陈倩 甘春标 郭云松 |
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| 作者单位： | 华南师范大学,广州,510631;浙江大学,杭州,310027 |
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| 基金项目： | 国家自然科学基金，浙江省教育厅资助项目 |
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| 摘 要： | 对一类受有界噪声激励作用的强非线性包装振动系统使用随机平均法和MLP方法,给出了此类系统的随机平均方程和FPK方程.利用路径积分方法,初步得出了一些关于系统稳态响应的联合概率密度的模拟结果.
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| 关 键 词： | 强非线性包装振动系统 有界噪声激励 随机平均 平稳概率密度 |
| 文章编号： | 1001-3563（2007）07-0001-03 |
| 修稿时间： | 2007-04-04 |
Stochastic Averaging of a Strongly Nonlinear Packaging Oscillatory System under Stochastic Excitation |
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| CHEN Qian,GAN Chun-biao,GUO Yun-song. Stochastic Averaging of a Strongly Nonlinear Packaging Oscillatory System under Stochastic Excitation[J]. Packaging Engineering, 2007, 28(7): 1-3 |
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| Authors: | CHEN Qian GAN Chun-biao GUO Yun-song |
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| Affiliation: | 1. South China Normal University, Guangzhou 510631, China; 2. Zhejiang University, Hangzhou 310027, China |
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| Abstract: | The present paper discusses a strongly nonlinear packaging oscillatory system excited by the bounded noise. By employing the standard stochastic averaging and MLP methods, the stochastic averaging equation and FPK equation are derived. Moreover, some numerical results of the stationary probability density of the system are also presented based on the path integral method. |
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| Keywords: | Strongly nonlinear packaging oscillatory system bounded noise excitation stochastic average stationary probability density |
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