大跨度双层网壳的非线性动态响应

网壳结构在大跨度结构中得到广泛应用．在建立了双层网格扁球壳的非线性强迫振动微分方程的基础上,研究了在边缘滑动固定的边界条件下,双层网格扁球壳的非线性动态响应问题．用突变理论建立了该网壳的尖点突变模型,得出了突变的临界方程,并阐述了网壳参数对该结构动态屈曲的影响．

NONLINEAR DYNAMIC RESPONSE OF LARGE-SPAN DOUBLE DECK RETICULATED SHELLS

Reticulated shells as structural members have found wide applications in large span structures. In this paper, the governing equations for nonlinear forced vibrations of a double deck reticulated shallow spherical shell structure is established. Then, the nonlinear dynamic buckling is considered for a double deck reticulated shallow spherical shell under immovable clamped boundary conditions. At the same tune, the model of catastrophe of nonlinear vibration bucking for the double deck reticulated shallow spherical shell is built by using catastrophe theory. The critical equation about the model of catastrophe is obtained. Finally, the effects of shell parameters on the nonlinear vibration buckling are considered.