Stiffness matrix partitioning for the derivation of mirror figure control information based on incomplete partial derivative data

Mathematics

Scientific paper

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Control, Finite Element Method, Mirrors, Partitions (Mathematics), Stiffness Matrix, Structural Analysis, Telescopes, Degrees Of Freedom, Iterative Solution, Loads (Forces), Matrices (Mathematics), Rotation

Scientific paper

FEM is not only a means for the building of a working model of an arbitrary mirror structure, but also for the supply of an interpolative approximation to the optically significant strain that is computationally efficient and useful in the frequently encountered case of insufficient data. Measurement data may be directly related to rotational degrees of freedom in the finite element model; this constitutes a means for the correction of the mirror's support system 'off-line', between rather infrequent calibrations, on the basis of data from a star image analyzer. Standard finite element codes can conveniently construct the stiffness matrix for a model of a large, complex mirror structure.

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