Open AccessStatic bifurcation of rain-wind-induced vibration of stay cable
Author(s) -
Qichang Zhang,
Weiyi Li,
Wei Wang
Publication year - 2010
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.59.729
Subject(s) - bifurcation , singularity , vibration , basis (linear algebra) , bridge (graph theory) , eigenvalues and eigenvectors , bifurcation diagram , stability (learning theory) , computer science , physics , mathematical analysis , mathematics , geometry , nonlinear system , acoustics , medicine , quantum mechanics , machine learning
The model of rain-wind-induced vibration of continuous stay cable is built on the basis of the dAlembert principle. This model can describe the dynamic characteristics of continuous stay cable better than the truncated model. By analyzing the static bifurcation behaviors according to the singularity theorywe describe the bifurcation problem as a one-codimensional unfolding with Z2 symmetry. The transition set and bifurcation diagrams for the singularity are presentedwhile the stability of the zero solution is studied using the eigenvalues in various parameter regions. The corresponding relationship between the unfolding parameters and the physical parameters will facilitates further analysis of the bifurcation behaviors of the stay cableand it also provides theoretical basis for the design of cable stayed bridge. Meanwhileit is helpful to the development and application of the engineering projects.