【摘要】 采用三层铝板两层蜂窝芯的夹层结构制造高精度反射面板是一种先进、复杂的技术。其中,单层铝板的受力分析和夹层板的回弹计算是成形精度的根本保障。利用Fourier级数表示单层板应力函数、利用幂级数表示夹层板挠度函数,分别对高精度反射面板制造中单层板压贴和夹层板回弹两类边值问题进行了求解。与有限元模拟结果对比表明,本文提出的单层板压贴膜应力计算Fourier级数法具有较高精度;与试验结果对比表明,本文提出的夹层板回弹量幂级数法具有满意精度。更多还原

【Abstract】 The fabrication of high-precision panels for the compact antenna test range (CATR) with a sandwich construction of two aluminum skin-plates and one aluminum middle plate,which are bonded to two aluminum honeycomb core-layers poses a lot of tricky problems. Of them,the force analysis of individual skin-layers and the springback calculation of sandwich are of utmost importance. Under reasonable assumptions,by using Fourier expansion of stress function and power series expansion of deflection function,two boundary-value problems of skin-layer and sandwich,i.e. force analysis and springback calculation,are solved. An analytical solution of stress function in series form and an approximate solution of deflection function are obtained. Compared with finite element method (FEM),the generalized double Fourier series method used in individual skin force analysis is superior in accuracy. Compared with experimental results,the weighted residual method used in springback calculation of sandwich-structured panel is acceptable from view of precision. Based on calculation results,processing parameters to panel fabrication are de-termined more efficient and accurate.更多还原