In the recent past inaccuracy problems have been reported that arise when computing shape design sensitivities by the semi-analytical method. Since both the analytical and the global ΓΏnite-di erence method do not show these severe inaccuracies, it has been concluded that these errors are due to the
Improvement of semi-analytical design sensitivities of non-linear structures using equilibrium relations
β Scribed by E. Parente Jr.; L. E. Vaz
- Publisher
- John Wiley and Sons
- Year
- 2001
- Tongue
- English
- Weight
- 140 KB
- Volume
- 50
- Category
- Article
- ISSN
- 0029-5981
- DOI
- 10.1002/nme.115
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π SIMILAR VOLUMES
Sensitivity analysis for non-linear elastic structures in regular and critical states is ΓΏrst discussed including design parameters and initial imperfections. Next, the optimal design problem is formulated by considering imperfect structures and setting constraints on de ections and stresses. For st
## ΒΉ" 1 2 y \*w H \*y \*w I \*x \*w J \*x # \*w I \*y \*w J \*y dx dy (10) and indices i, j, k and l are summed over 1, 2 , n. The dynamic behaviour of the structure may be obtained by Lagrange's equations for a conservative system, which leads to ! \* \*t \*ΒΉ \*qR P # \*ΒΉ \*q P ! \*< \*q P