頁籤選單縮合
題 名 | Chaotic Behavior of an Inelastic Beam |
---|---|
作 者 | Yeh,Jiin-po; | 書刊名 | The Chinese Journal of Mechanics |
卷 期 | 14:4 1998.12[民87.12] |
頁 次 | 頁217-221 |
分類號 | 440.13 |
關鍵詞 | Inelastic beam; Chaotic motion; Autocorrelation function; Lyapunov exponent; |
語 文 | 英文(English) |
英文摘要 | The dynamical system considered in this paper is an inelastic beam whose supports are subjected to a harmonic excitation. This paper first explores whether the system has chaotic motion. The appearance of the irregular time history, strange attractor on the Poincare map as well as period- doubling bifurcation phenomenon strongly indicates that chaos indeed exist in this system. After finding the chaos phenomenon, this paper continues to investigate the relationship between the decay time of the autocorrelation function and the largest Lyapunov exponent. The Poincare mapping points are chosen to be the sampled function of the discrete autocorrelation function. It's found that a power model of regression analysis can fit with good accuracy the data points, which are composed of the mapping times for the autocorrelation to decay into the square of the mean of the Poincare points and the correspoding largest Lyapunov exponent. |
本系統中英文摘要資訊取自各篇刊載內容。