- Tytuł:
- Optimal design of cylindrical shells
- Autorzy:
-
Nestler, Peter
Schmidt, Werner - Powiązania:
- https://bibliotekanauki.pl/articles/729263.pdf
- Data publikacji:
- 2010
- Wydawca:
- Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
- Tematy:
-
linear elasticity
shell theory
cylindrical tube
optimal control
shape optimization - Opis:
- The present paper studies an optimization problem of dynamically loaded cylindrical tubes. This is a problem of linear elasticity theory. As we search for the optimal thickness of the tube which minimizes the displacement under forces, this is a problem of shape optimization. The mathematical model is given by a differential equation (ODE and PDE, respectively); the mechanical problem is described as an optimal control problem. We consider both the stationary (time independent) and the transient (time dependent) case. P. Nestler derives the model-equations from the Mindlin and Reissner hypotheses. Then, necessary optimality conditions for the optimal control problem are given. Numerical solutions are obtained by FEM, numerical examples are presented.
- Źródło:
-
Discussiones Mathematicae, Differential Inclusions, Control and Optimization; 2010, 30, 2; 253-267
1509-9407 - Pojawia się w:
- Discussiones Mathematicae, Differential Inclusions, Control and Optimization
- Dostawca treści:
- Biblioteka Nauki
Artykuł