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谐和与有界噪声联合参激作用下的Visco-Elastic系统

徐伟 戎海武 方同

徐伟, 戎海武, 方同. 谐和与有界噪声联合参激作用下的Visco-Elastic系统[J]. 应用数学和力学, 2003, 24(9): 963-972.
引用本文: 徐伟, 戎海武, 方同. 谐和与有界噪声联合参激作用下的Visco-Elastic系统[J]. 应用数学和力学, 2003, 24(9): 963-972.
XU Wei, RONG Hai-wu, FANG Tong. Visco-Elastic Systems Under Both Deterministic and Bound Random Parametric Excitation[J]. Applied Mathematics and Mechanics, 2003, 24(9): 963-972.
Citation: XU Wei, RONG Hai-wu, FANG Tong. Visco-Elastic Systems Under Both Deterministic and Bound Random Parametric Excitation[J]. Applied Mathematics and Mechanics, 2003, 24(9): 963-972.

谐和与有界噪声联合参激作用下的Visco-Elastic系统

基金项目: 国家自然科学基金资助项目(10072049)
详细信息
    作者简介:

    徐伟(1957- ),男,浙江上虞人,教授,博士,博导(E-mail:weixu@nwpu.edu.cn).

  • 中图分类号: O324

Visco-Elastic Systems Under Both Deterministic and Bound Random Parametric Excitation

  • 摘要: 研究了带visco-elastic项的非线性系统,在谐和与有界噪声联合参激作用下的响应和稳定性问题。用多尺度法分离了系统的快变项,并求出了系统的最大Liapunov指数和稳态概率密度函数,根据最大Liapunov指数可得系统解稳定的充分必要条件。讨论了系统的visco-elastic项对系统阻尼项和刚度项的贡献,给出了随机项和确定性参激强度等参数对系统响应影响的讨论。数值模拟表明该方法是有效的。
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  • 被引次数: 0
出版历程
  • 收稿日期:  2001-12-12
  • 修回日期:  2003-04-23
  • 刊出日期:  2003-09-15

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