Abstract.Caused by the problem of unilateral contact during vibrations of satellite solar arrays, the aim of this paper is to better understand such a phenomenon. Therefore, it is studied here a simplified model composed by a beam moving between rigid obstacles. Our purpose is to describe and compare some families of fully discretized approximations and their properties, in the case of non-penetration Signorini's conditions. For this, starting from the works of Dumont and Paoli, we adapt to our beam model the singular dynamic method introduced by Renard. A particular emphasis is given in the use of a restitution coefficient in the impact law. Finally, various numerical results are presented and energy conservation capabilities of the schemes are investigated.Mathematics Subject Classification. 35L85, 65M12, 74H15, 74H45.

The purpose of this paper is to describe a fully discrete approximation and its convergence to the continuum dynamical impact problem for the fourth-order Kirchhoff-Love plate model with nonpenetration Signorini contact condition. We extend to the case of plates the theoretical results of weak convergence due to Y. Dumont and L. Paoli, which was stated for Euler-Bernouilli beams. In particular, this provides an existence result for the solution of this problem. Finally, we discuss the numerical results we obtain.

HAL is a multi-disciplinary open access archive for the deposit and dissemination of scientific research documents, whether they are published or not. The documents may come from teaching and research institutions in France or abroad, or from public or private research centers. L'archive ouverte pluridisciplinaire HAL, est destinée au dépôt et à la diffusion de documents scientifiques de niveau recherche, publiés ou non, émanant des établissements d'enseignement et de recherche français ou étrangers, des laboratoires publics ou privés.

No abstract

The FASTSIM algorithm is widely used in multi-body simulation (MBS) software packages for the evaluation of the tangential wheel-rail contact forces in a steady state. As the algorithm is restricted to Hertzian contact patches, a strip-based local approach is proposed to extend FASTSIM to non-elliptical contact cases. The paper presents this tangential contact approach in detail, which was briefly introduced by Ayasse & Chollet along with the semi-Hertzian method. The contact stresses and their directions are compared with the reference results from the program CONTACT. Different settings for the traction bound are explored to determine their influence on the contact stresses, creep forces, and the limits of the saturation zone in the case of wheel-rail contact. A design of experiments is constructed for a non-Hertzian contact case, with different combinations of the longitudinal, lateral, and spin creepages. The absolute error in the normalised creep forces is used as the quantity of interest and found to be consistent with results in the literature for Hertzian contact cases using FASTSIM.