
Accession Number : ADP000101
Title : Derivation and Convergence of Power Series in Structural Design,
Corporate Author : MICHIGAN UNIV ANN ARBOR DEPT OF MECHANICAL ENGINEERING AND APPLIED MECHANICS
Personal Author(s) : Whitesell,Joseph
Report Date : 1981
Pagination or Media Count : 3
Abstract : 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 model's response can be approximated to arbitrary accuracy by the series without reanalysis.
Descriptors : *Structural engineering, *Structural mechanics, *Power series, *Derivatives(Mathematics), *Convergence, Structural analysis, Optimization, Mathematical models, Structural response, Static loads, Eigenvalues, Eigenvectors, Linear systems
Distribution Statement : APPROVED FOR PUBLIC RELEASE