In multiphysics problems, various fields are coupled via interface conditions. This is the situation in the fluid-solid interactions that occur in naval and aeronautical applications. In many aeroelastic problems, such as the analysis of wings, fuselages, helicopter rotors, and complete aerovehicles, the solid body is of slender geometry. Since three-dimensional computation requires excessive resources, methods of reduction to structural models are traditionally exploited in mechanics for the analysis of slender bodies. Although such procedures are well-established, the reduction of loads is often performed in an ad hoc manner which is not sufficient for many coupled problems. In the present work we develop the rigorous Structural Reduction (SR) procedures by using a variational framework to consistently convert the interface data to the form required by means of structural representations. The approach is illustrated using the Euler-Bernoulli and Timoshenko beam theories. It is shown that some of the loading terms and boundary conditions of the resulting structural problems (namely, tension, torsion and two bending problems) which are formulated in terms of the original three-dimensional problem could not be derived by ad hoc considerations. Numerical results show that the use of the SR procedures greatly economizes computation and provides insight into the mechanical behavior while preserving a level of accuracy comparable with the fully three-dimensional solution.
|State||Published - 2005|
|Event||45th Israel Annual Conference on Aerospace Sciences 2005 - Tel Aviv, Israel|
Duration: 23 Feb 2005 → 24 Feb 2005
|Conference||45th Israel Annual Conference on Aerospace Sciences 2005|
|Period||23/02/05 → 24/02/05|