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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”误差的准则
In order to study the die-bonding performance of hyperbolic panel based on the technology of “lattice die and vacuum negative pressure”, a generalized Fourier series method of incremental form of load-displacement constrained quantity is proposed to approximate arbitrary Due to the constraint reaction force can be obtained at the same time, the iteration of the contact condition can be further realized, and the distribution of local depressions is analyzed. Several plate widths and plate thicknesses are compared with the test results. Calculation accuracy to meet project requirements. Finally, the approximate range of the critical plate width under different pressures is obtained, and then the corresponding guidelines for reducing the “mold” error are summarized