## 留言板

 引用本文: 徐伟, 戎海武, 方同. 谐和与随机噪声联合作用下的粘弹系统[J]. 应用数学和力学, 2003, 24(1): 55-61.
XU Wei, RONG Hai-wu, FANG Tong. Visco-Elastic Systems Under Both Deterministic Harmonic and Random Excitation[J]. Applied Mathematics and Mechanics, 2003, 24(1): 55-61.
 Citation: XU Wei, RONG Hai-wu, FANG Tong. Visco-Elastic Systems Under Both Deterministic Harmonic and Random Excitation[J]. Applied Mathematics and Mechanics, 2003, 24(1): 55-61.

## 谐和与随机噪声联合作用下的粘弹系统

###### 作者简介:徐伟(1957- ),男,浙江上虞人,教授,博士,博士生导师(E-mail:weixu@nwpu.edu.cn).
• 中图分类号: O324;TB114

## Visco-Elastic Systems Under Both Deterministic Harmonic and Random Excitation

• 摘要: 研究了粘弹系统在谐和与随机噪声联合作用下的响应和稳定性问题.用谐波平衡法和随机平均法分析了系统在确定性谐和激励和随机激励联合作用下的响应,讨论了粘弹项、随机扰动项对系统响应的影响.结果表明,在一定条件下,系统具有两个均方响应值和跳跃现象.数值模拟表明,谐波平衡法与随机平均法相结合的研究方法是有效的.
•  [1] Ariaratnam S T.Stochastic stability of linear viscoelastic systems[J].Probabilistic Engineering Mechanics,1993,8(1):153-155. [2] Ariaratnam S T.Stochastic stability of viscoelastic systems under bounded noise excitation[J].IUTAM Symposium on Advances in Nonlinear Stochastic Mechanics,1996,11(1):11-18. [3] Shinozuka M.Simulation of multivariate and multidimensional random processes[J].Journal of Sound and Vibration,1971,19(2):357-367. [4] Shinozuka M.Digital simulation of random processes and its applications[J].Journal of Sound and Vibration,1972,25(1):111-128. [5] Nayfeh A H,Serhan S J.Response statistics of nonlinear system to combined deterministic and random excitations[J].International Journal of Nonlinear Mechanics,1990,25(5):493-509. [6] Rajan S,Davies H G.Multiple time scaling of the response of a Duffing oscillator to narrow-band excitations[J].Journal of Sound and Vibration,1988,123(2):497-506. [7] Fand T,Dowell E H.Numerical simulations of jump phenomena in stable Duffing systems[J].International Journal of Nonlinear Mechanics,1987,22(2):267-274. [8] Zhu W Q,Lu M Q,Wu Q T.Stochastic jump and bifurcation of a Duffing oscillator under narrow-band excitation[J].Journal of Sounda and Vibration,1993,165(2):285-304. [9] Wedig W V.Invariant measures and Lyapunov exponents for generalized parameter fluctuations[J].Structural Safety,1990,81(1):13-25.

##### 计量
• 文章访问数:  1870
• HTML全文浏览量:  29
• PDF下载量:  916
• 被引次数: 0
##### 出版历程
• 收稿日期:  2000-10-10
• 修回日期:  2002-09-28
• 刊出日期:  2003-01-15

/

• 分享
• 用微信扫码二维码

分享至好友和朋友圈