Derivation and Convergence of Power Series in Structural Design,
MICHIGAN UNIV ANN ARBOR DEPT OF MECHANICAL ENGINEERING AND APPLIED MECHANICS
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Design sensitivity analysis plays an important role in the optimal design of structures but usually only first order derivatives are computed. When high order derivatives are used substantial reductions in computational effort can result but a question of convergence of the resulting power series in the design variable arises. If the change in the design parameter is smaller than the radius of convergence of the series then the models response can be approximated to arbitrary accuracy by the series without reanalysis.