The Non-linear Dynamical Stability Of Double-deck Reticulated Shallow Spherical Shell

Double-deck reticulated shallow spherical shells are typical models of large-span space structures, which have their intrinsic mechanical properties. With the wide application of reticulated shells in engineering, the mechanical properties of the structures are paid more attention increasingly. The non-linear dynamical response of double-deck reticulated shallow spherical shell are systematically studied in the thesis. The research is of great importance in analytical theory and engineering practice.First, reviews the major works that the domestic and the foreign scholars have done in the field of space reticulated structures and dynamical stability, analyses and compares the characteristics of variable theories and methods. Then based on the variational equations of nonlinear bending theory of double-deck reticulated shallow shells, establish non-linear motional differential equation about double-deck reticulated shallow spherical shell. And analyses the nonlinear dynamic buckling problems about double deck reticulated shallow spherical shell under movable clamped and immovable clamped boundary condition. At the same time, the model of cusp catastrophe of nonlinear vibration bucking of double deck reticulated shallow spherical shell is presented by using catastrophe theory. The critical equation about the model of catastrophe is established. Finally, The effects of shell parameter on nonlinear vibration buckling are taken into account. Numerical examples are given as well.