Facultad Regional Santa Fe

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Author: search.filters.author.Cardona, AlbertoSubject: search.filters.subject.Impact

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    Contact force multiscale calculation in the framework of the non-smooth dynamic approach
    (International Journal of Numerical Method and Engineering, 2025-03-31) Cavalieri, Federico J.; Sánchez, Eliana; Cardona, Alberto
    Smooth contact models derived from the Hertz theory are widely used in structural dynamics analysis to calculate variable in time forces, stresses, and deformations. However, these models require very small time steps during the period in which bodies are in contact to integrate the equations of motion, yielding in a highly time-consuming numerical solution. Furthermore, penetration between bodies is unavoidable. On the other hand, nonsmooth techniques use an impact law to calculate the impulses. They arrive to a scheme with a constant time step resulting in very efficient calculations. However, these techniques do not provide a straightforward approach to calculate the variable in time contact forces that are needed to verify or design the structural components. In this work, a new methodology of calculation of impact forces that combines the impulse values obtained from non-smooth algorithms together with a local contact force law derived from continuous force models is presented. Thus, the computational time required to calculate the contact forces is reduced significantly. Several numerical examples are presented to show the robustness and performance of the proposed methodology.
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    Impact between spherical rigid bodies including frictional effects
    (International Journal of Numerical Method and Engineering, 2024-10-30) Sánchez, Eliana; Cosimo, Alejandro; Brüls, Olivier; Cardona, Alberto; Cavalieri, Federico J.
    This work presents a new contact element which allows to simulate the impact between spherical bodies assuming instantaneous local impact events by the classical Newton impact law and a rigid behaviour of the bodies. The geometrical properties of the spheres are described by a rigid body formulation with translational and rotational degrees of freedom. In addition, an extension of the non-smooth generalized α time integration scheme applied to multi-impact collisions including Coulomb’s friction is given. Six numerical examples are presented to evaluate the robustness and the performance of the proposed methodology.
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    Non-smooth numerical solution for Coulomb friction and sliding, rolling and spinning resistance applied to flexible multibody system dynamics
    (Multibody System Dynamics, 2023-06) Sánchez, Eliana; Cosimo, Alejandro; Brüls, Olivier; Cardona, Alberto; Cavalieri, Federico J.
    This paper presents the general motion of a sphere in contact with a rigid planar rigid surface under rolling, sliding and spinning friction in the context of non-smooth contact dynamics. The equation of motion are solved by the non smooth generalized α implicit time integration scheme where the constrains at position and at velocity level are satisfied exactly without requiring to define any penalty parameter. The geometrical properties of the spheres are described by a rigid body formulation with translational and rotational degrees of freedom. The robustness and the performance of the proposed methodology is demonstrated by different examples including both flexible and/or rigid elements.