Abstract. In this work an alternative beam finite element for rapid time-domain flutter analysis of wings equipped with trailing edge control surfaces, generally distributed along the span, is presented. The aeroelastic proposed based on Euler-Bernoulli theory, De St. Venant torsion theory and two-dimensional unsteady aerodynamics. developed model attractive preliminary aero-servo-elastic analy...

We study the Serre-Green-Naghdi system under a non-hydrostatic formulation, modelling incompressible free surface flows in shallow water regimes. This system, unlike well-known (nonlinear) Saint-Venant equations, takes into account effects of pressure term as well dispersive phenomena. Two numerical schemes are designed, based on finite volume - difference type splitting scheme and iterative co...

Abstract We develop a theory of finite element systems, for the purpose discretizing sections vector bundles, in particular those arising elasticity. In presence curvature, we prove discrete Bianchi identity. flat case, de Rham theorem on cohomology groups. check that some known mixed elements stress–displacement formulation elasticity fit our framework. also define, dimension two, first confor...

Torsion of cylindrical shafts has been a topic in the classical theory of elasticity for a long time (Timoshenko and Goodier, 1970). The stiffness of a cylindrical shaft under torsional loading is often of interest in the study of torsion problems. Therefore, the uniform (St. Venant) and non-uniform torsion problem of structural components has long been the subject of theoretical and practical ...