Design sensitivity analysis with isoparametric shell elements
| Autor: | G. N. Vanderplaats, Koetsu Yamazaki |
|---|---|
| Rok vydání: | 1993 |
| Předmět: |
Control and Optimization
General Engineering Finite difference Shell (structure) Stiffness Natural frequency Geometry Computer Graphics and Computer-Aided Design Displacement (vector) Computer Science Applications Buckling Control and Systems Engineering medicine Sensitivity (control systems) medicine.symptom Software Mathematics Parametric statistics |
| Zdroj: | Structural Optimization. 5:152-158 |
| ISSN: | 1615-1488 0934-4373 |
| DOI: | 10.1007/bf01743351 |
| Popis: | This paper deals with design sensitivity calculation by the direct differentiation method for isoparametric curved shell elements. Sensitivity parameters include geometric variables which influence the size and the shape of a structure, as well as the shell thickness. The influence of design variables, therefore, may be separated into two distinct contributions. The parametric mapping within an element, as well as the influence of geometric variables on the orientation of an element in space, is accounted for by the sensitivity calculation of geometric variables, and efficient formulations of sensitivity calculation are derived for the element stiffness, the geometric stiffness and the mass matrices. The methods presented here are applied to the sensitivity calculations of displacement, stress, buckling stress and natural frequency of typical basic examples such as a square plate and a cylindrical shell. The numerical results are compared with the theoretical solutions and finite difference values. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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