摘要
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。
This paper deals with non-linear free vibration of a single-layer reticulated imperfect shallow spherical shell formed by beam members placed in two orthogonal directions based on an equivalent contin- uum model. Using both the dynamic equilibrium equation and the compatibility equation in terms of de-flection and force function, a characteristic relation between the amplitude and frequency of a clamped or hinged shell was derived by asymptotic iteration method. Numerical examples were given to illustrate the effects of boundary constraints and impaction factor on the characteristic relation. Meanwhile, the present results for the fundamental frequency were compared with data by finite element method using ANSYS code. The results show that the present continuum model has enough precision in computation.
出处
《力学季刊》
CSCD
北大核心
2012年第4期642-648,共7页
Chinese Quarterly of Mechanics
关键词
网格扁球壳
非线性
几何缺陷
自由振动
渐近迭代法
reticulated shallow spherical shell
geometric imperfections
non-linear
free vibration
asymptotic iteration method
