Complicated nonlinear dynamical behavior of single-layer shallow conical shells
The equivalent stiffness and the nonlinear geometrical physical equation of deformation of the single-layer shallow conical shells were given at first. Then the nonlinear dynamical equation of the three-dimensional shallow conical single-layer reticulated shells with the triangular gridding was obtained by using the method of quasi-shells. A nonlinear differential equation containing the second and the third order nonlinear terms was derived under the boundary conditions of fixed edges by using the Galerkin method. The problem of bifurcation was discussed by solving the Floquet exponent, and an exact solution to nonlinear free oscillation of the nonlinear dynamic systems was found under the fixed initial conditions. The critical conditions of chaotic motion were obtained by solving the Melnikov functions, by using digital simulation and the Poincare map proved the existence of chaotic motion.
Ming-jun Han Xin-zhi Wang Gang Wang Xue-xing Ding
Lanzhou University of Technology, Lanzhou 730050, China
国际会议
The 5th International Conference on Nonlinear Mechanics(第五届国际非线性力学会议)
上海
英文
1273-1277
2007-06-11（万方平台首次上网日期，不代表论文的发表时间）