高精度面板成形的贴模性研究

Research on Fitability in Precise Forming of Reflector Panels

为了研究基于“点阵钉模、真空负压”技术的双曲度面板超精密成形时的贴模性能，提出一种载荷位移约束量增量形式的广义傅里叶级数法近似求解任意支点下矩形薄板的大挠度弯曲问题，由于可同时求出约束反力，故能进一步实现接触状况迭代，从而分析了局部凹陷的分布形态，并就几种板宽及板厚与试验进行比较，计算精度满足工程要求．最后得到不同气压下临界板宽的大致范围，进而总结了相应的减小贴“模”

In order to investigate the fitability in superprecise forming of double curvature panel based on “nails die and vacuum”, the approximate generalized Fourier series solution is suggested for the bending problem of the rectangular thin plate supported at arbitrary points with large deflection. The solution is derived by means of the incremental method of load and displacement constraint, which can get the constrained force at the same time for the further iteration of contact state. It is applied to analyze the pattern of the part sinking. The computational results of the plates with several kinds of width and thickness are compared with the experiment. It shows that the accuracy is satisfying well. Finally the proximate range of the critical plate width under varied pressure is suggested and moreover the relevant rules on reduction of errors in fitability are proposed.