矩形底面扁球面网壳的非线性弯曲特性

The Nonlinear Bending Behaviors of The Shallow Reticulated Spherical Shells with Rectangular Bottom

针对曲面为正三角形网格矩形底面扁球面单层网壳,用拟壳法建立非线性动力学方程.假设该网壳的位移函数,在底面可移夹紧和底面内固定夹紧边界条件下,利用Galerkin方法得到关于位移和均布载荷的关系式,并绘出载荷和位移的曲线,进行比较.

The nonlinear dynamic equations for reticulated shallow spherical single-layer shells with equi-lateral triangular lattices and rectangular bottom was established by using the method of quasi-shells. Supposing the displacement function of the shallow reticulated latticed shells. Under the clamped and free boundary conditions, the relation of displacement and load is obtained by the method of Galerkin, then character curves of load and deflections is given and comparison.