摘要
针对方形蜂窝夹层板,考虑其离散的芯层结构形式,在经典夹层板理论的基础上,运用Hamilton变分原理导出了其离散结构形式的运动控制方程.该文以四边简支的方形蜂窝矩形夹层板为例,采用傅立叶级数和伽辽金法求解出夹层板固有频率的半解析解,并与有限元仿真结果进行了比较,两者吻合良好.该文还将夹层板与等质量的实体板固有频率进行了比较,讨论了夹层板芯层薄壁间距、厚度、高度以及面板厚度对其固有频率的影响.计算结果表明,夹层板相对实体板具有很大的刚度;芯层薄壁高度相对其它参数对夹层板固有频率的影响更大.
Based on the classical model of sandwich panels and Hamilton＇s principle, the motion governing differential equations of the square-honeycomb sandwich plates considering the discrete characteristics of the core are derived in the paper. The semi-analytical solution of the natural frequency for simply supported square-honeycomb sandwich plates is obtained by using Fourier series and the Galerkin approach. The results from the present method are compared with those obtained from the finite element analysis and good agreements are observed. Furthermore, a comparison of the natural frequency between the square-honeycomb sandwich plates and the solid plates of the same weight is carried out, and the effects of some geometrical parameters of the sandwich plates including cell size, core web thickness, core height and face sheet thickness on the nature frequency are discussed in the analysis. Numerical results show that the stiffness of square-honeycomb sandwich plates is much bigger than that of the solid plates of the same weight, and core height has more effect on the natural frequency of the sand-wich plates than other parameters.
出处
《固体力学学报》
CAS
CSCD
北大核心
2009年第1期90-94,共5页
Chinese Journal of Solid Mechanics
关键词
夹层板
方形蜂窝
自由振动
Hamilton变分原理
有限元
sandwich plates, square-honeycomb, free vibration, Hamilton＇s principle, finite element analysis
