方形蜂窝夹芯夹层板弯曲问题的新解法

文章针对方形夹芯夹层板弯曲问题提出了一种新的解法。所提方法未采用传统的芯层均匀等效做法,而直接对其离散的模型进行分析,考虑芯层的离散特性,将离散芯层和上下面板结合起来,运用能量原理建立方形蜂窝夹芯夹层板统一的弯曲控制方程。假设夹层板位移为双傅立叶级数形式,采用伽辽金法求解。对固支和简支矩形方形蜂窝夹芯夹层板数值仿真结果表明,文中方法得到的结果与有限元数值解吻合良好。该方法为有效、快捷地分析夹层板的力学性能提供了新的方法和途径。

A new algorithm for solving bending response of square-honeycomb sandwich plates

A new algorithm for solving bending problem of the square-honeycomb sandwich plates is presented.In this study,the homogenized model of the core as usually used in the traditional theory assumption is not employed and the discrete characteristics of the core are taken into account instead.In the analysis,the energy principle is used to obtain the governing equation of the bending response of the structure.The displacement of the sandwich plate is represented by double Fourier series and the Galerkin approach is utilized to solve the governing equation.Numerical simulations of the clamed and simply supported square-honeycomb sandwich plates show that the results obtained from the proposed method are well agreed with ones from the finite element analysis.The proposed approach provides a new method for analyzing mechanic features of the sandwich plates efficiently and effectively.