Geometric sensitivity analysis with local coordinate transformations

✍ Scribed by Brockman, R. A.

• Publisher: Wiley (John Wiley & Sons)
• Year: 1988
• Tongue: English
• Weight: 367 KB
• Volume: 4
• Category: Article
• ISSN: 0748-8025
• DOI: 10.1002/cnm.1630040109

✦ Synopsis

The dimensionality of truss, beam, membrane and shell finite elements is often less than that of the global co-ordinate system, and element calculations must be performed in local co-ordinates. Design parameters which affect the nodal co-ordinates in such elements control both the element dimensions and orientation, and element design sensitivity calculations must account for both effects. The influence of geometric design variables may be separated into two distinct contributions, which must be applied at separate stages of the sensitivity calculation. The paper includes a description of the appropriate algorithms, examples for one-and two-dimensional elements, and a sample Fortran routine.