Dynamical analysis of a string-beam coupled system
WANG Xia1,2, LI Jian-ping2
1. Department of mathematics, Zhengzhou University, Zhengzhou 450001, China; 2. Department of Mathematical and Physical Science, Henan Institute of Engineering, Zhengzhou, 451191, China
Abstract：The stability and bifurcations of a string-beam coupled system at the initial equilibrium solution are investigated with a combination of analytical and numerical methods in detail in this paper. The behavior of the eigenvalues with the parameters is investigated. Based on the averaged equation, the expressions for the critical bifurcation lines leading to incipient and secondary bifurcations, such as Hopf bifurcation and 2-D tori, are obtained. Numerical simulations of these bifurcation cases are also obtained, which agree with the analytical results, at least qualitatively.
2014, Vol. 33 
