论文部分内容阅读
基于梁元正交布置的单层网壳的等效连续化模型,研究了含几何初始缺陷的网格扁球壳非线性自由振动问题。基于用挠度和力函数表示的非线性动力平衡方程和变形协调方程,针对简支和固支两种约束条件,采用渐近迭代法得到了网格扁球壳自由振动的非线性幅频特征关系。通过数值计算分析了边界约束和缺陷因子等对网壳幅频关系的影响。同时,对于结构基频,理论结果与基于ANSYS的有限元数值结果的比较,验证了网壳等效连续化模型的精度。
Based on the equivalent continuum model of the single-layer reticulated shell with orthogonal beams, the nonlinear free vibration problem of the shallow spherical shell with geometrical initial defects is studied. Based on the nonlinear dynamic balance equation and deformation coordination equation, which are expressed by the deflection and force function, the nonlinear amplitude-frequency characteristics of the free-vibration of the flat spherical shell are obtained by using the asymptotic method. The influence of boundary constraint and defect factor on the amplitude-frequency relationship of reticulated shell was analyzed by numerical calculation. At the same time, the comparison of the fundamental frequency, the theoretical results and the finite element numerical results based on ANSYS verifies the accuracy of the equivalent continuum model.