Un modello misto agli sforzi nella dinamica degli archi

ABSTRACT Linear dynamics of curved beams has been studied with a mixed stress formulation. The stress description has been been divided into three parts: one in equilibrium with loads, one autoequilibrated and the last one in equilibrium with inertia forces. The latter has been obtained by integration from a displacement field such that the numeber of strain mode is equal to the number of stress modes. A particular geometry description has been developed using a known set of inter element point coordinates and the tangent and coordinates of the extremities of the whole arch. This representation is based upon modified hermitian function tuned by two shape parameters which add flexibility to the classical description. These parameters are then calculated through the minimization of the curvature of the whole arch. The methods has been validated with a benchmark in which there is an exact solution of reference.