Nodal model for continuous face sheet deformable mirrors

摘要

This work presents a nodal model for continuous face sheet deformable mirrors that can be solved quickly on a desktop computer. This network of simple cubic stiffening elements can more accurately simulate deflections resulting from complex loading conditions than a membrane model and is much easier to implement than a non-linear finite element model. The deflections predicted by the model are compared to expected behavior and to FEM results for a simple system. While restoring forces due to pre-stress and deformation-induced stress are fairly accurately modeled, resistance due to bending is only accurately modeled for specialized devices.