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高精度反射面板制造中边值问题的求解方法(英文)
引用本文:郝长岭,周贤宾,李小强. 高精度反射面板制造中边值问题的求解方法(英文)[J]. 中国航空学报, 2009, 22(1): 97-104. DOI: 10.1016/S1000-9361(08)60074-6
作者姓名:郝长岭  周贤宾  李小强
作者单位:School of Mechanical Engineering and Automation, Beijing University of Aeronautics and Astronautics, Beijing 100191, China 
基金项目:National Natural Science Foundation of China (10477001, 60673056)
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。

收稿时间:2008-01-23

Solution to Boundary-value Problems in Fabrication of High-precision Reflector Panels
Hao Changling,Zhou Xianbin,Li Xiaoqiang School of Mechanical Engineering , Automation,Beijing University of Aeronautics , Astronautics,Beijing ,China. Solution to Boundary-value Problems in Fabrication of High-precision Reflector Panels[J]. Chinese Journal of Aeronautics, 2009, 22(1): 97-104. DOI: 10.1016/S1000-9361(08)60074-6
Authors:Hao Changling  Zhou Xianbin  Li Xiaoqiang School of Mechanical Engineering    Automation  Beijing University of Aeronautics    Astronautics  Beijing   China
Affiliation:Hao Changling,Zhou Xianbin,Li Xiaoqiang School of Mechanical Engineering , Automation,Beijing University of Aeronautics , Astronautics,Beijing 100191,China
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 boun...
Keywords:boundary-value problems  Fourier series  finite element method  numerical methods  weighted residual method
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