Abstract:Based on theory of Lematire。s equivalent strain of the damage and with damage of bars of the shallow reticulated spherical shell, nonlinear dynamical equations of the shallow reticulated spherical shell with damage is given by the quasi-shell method. The method of perturbation-variation selected maximal amplitude in the center of the shallow reticulated spherical shell as the perturbation parameter is given. Then the nonlinear vibration equation of the system with damage under the boundary conditions of fixed and clamped is solved by perturbation-variation and the eigen-relation is obtained. And nonlinear dynamical equations of the shallow reticulated spherical shell with damage are given by the quasi-shell method and the Galerkin method. an accurate solution to the free oscillation of the shallow reticulated shells with damage is solved. So theoretical critical condition of chaos motion is given by the Melnikov function method. The chaos motions of the shallow reticulated spherical shells with damage are simulated numerically by computer numerical emulation under nonlinear forced vibration and it is founded that the damage makes easily the system occur the chaos motion.
栗蕾;郝际平;李广慧;黄义. 考虑损伤双层扁球面网壳的非线性动力学特性[J]. , 2011, 30(11): 106-111,.
Li Lei;Haoji-ping;Li Guang-hui;Huang Yi. The nonlinear dynamic characteristics of the shallow reticulated spherical with the damage. , 2011, 30(11): 106-111,.