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1 School of Mechanical Engineering 2 School of Civil, Environmental and Mining Engineering 3 School of Petroleum Engineering

Abstract : In this paper, we present a detailed numerical study of the non-linear dynamics in structural components under unilateral contact constraints. Here, the unilateral term characterises the constitutive law of the restoring force in the constraints as they only sustain elastic reactions in one direction, either compressive or tensile. Thus, the non-differentiability of the contact law at the discontinuity point is the only source of non-linearity. In our approach, the discrete lattice method DLM is used to treat the continuous system as a piecewise linear model. Thus, the trajec-tory of each node in the discrete model would be a sequence of smooth solutions with the switching times between them. The application of the one-step integration scheme allows us to detect the occurrence of contact i.e. the instants that the lattice nodes cross the discontinuity boundary and consequently update the active





Author: Mostafa Attar - Ali Karrech - Klaus Regenauer-Lieb -

Source: https://hal.archives-ouvertes.fr/



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