Abstract
Shape design sensitivity analysis of arches and built-up structures that contain arches is carried out in this paper. The derivation is based on distributed parameter structural design sensitivity analysis theory. Curved beam theory is used to derive shape design sensitivity information and straight beam/truss theory is used for analysis of displacement fields. Results presented show that approximation of the actual and adjoint displacement fields by straight beam-truss elements is sufficiently accurate for arches with shallow shape. For arches with high curvature, the straight beam-truss approximation leads to relatively large approximation errors. A fine finite element grid reduces error, but for good approximation many elements are needed. Shape design sensitivity analysis results for built-up structures are good, when compared to finite differences, as long as the finite element analysis is accurate.
Published Version
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