By Paulo Flores, Hamid M. Lankarani
This e-book analyzes numerous compliant touch strength types in the context of multibody dynamics, whereas additionally revisiting the most matters linked to basic touch mechanics. specifically, it provides a variety of touch strength types, from linear to nonlinear, from basically elastic to dissipative, and describes their parameters. Addressing the several numerical equipment and algorithms for touch difficulties in multibody platforms, the booklet describes the gross movement of multibody structures by utilizing a two-dimensional formula in accordance with absolutely the coordinates and employs various touch versions to symbolize contact-impact occasions. effects for chosen planar multibody mechanical structures are awarded and applied to debate the most assumptions and strategies followed all through this paintings. the cloth supplied the following exhibits that the prediction of the dynamic habit of mechanical structures concerning contact-impact strongly is dependent upon the alternative of touch strength version. briefly, the ebook offers a accomplished source for the multibody dynamics neighborhood and past on modeling touch forces and the dynamics of mechanical platforms present process contact-impact events.
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Extra resources for Contact Force Models for Multibody Dynamics
Hegazy et al. (1999) used the Kelvin-Voigt contact force model to compute the vertical forces developed at the vehicle tire in the context of multibody dynamics of a full vehicle handling analysis. A similar application was also investigated by Fox et al. (2001). However, these authors highlighted that the improvement of the contact force model is a fundamental concern to predict accurate dynamic responses of this type of multibody systems. In short, the linear Kelvin-Voigt contact force model may not be very accurate since it does not represent the overall nonlinear nature of an impact, and a number of weaknesses limit its application, mainly for high impact velocities.
Other approaches exhibit discontinuities in the contact force evolution (Jankowski 2006), and problems of consistency of units Schwager and Pöschel 1998). There are, however, a set of models where the hysteresis damping factor is expressed in terms of the local contact properties, contact geometry and contact kinematics, making them appropriate for multibody dynamics simulations. 5 Other Dissipative Contact Force Models 45 It must be pointed out that the contact force models analyzed in this study do only hold if viscoelasticity is not the only dissipative process during the contact event.
The coefﬁcient of restitution describes the type of collision. For a fully elastic contact the restitution coefﬁcient is equal to unity, while for a fully plastic or inelastic contact the restitution coefﬁcient is null. The most general and predominant type of collision is the oblique eccentric collision, which involves both relative normal velocity and relative tangential velocity (Maw et al. 1975; Zukas et al. 1982). 13) form a system of three equations with three unknowns ðþÞ ðþÞ vi , vj and ΔE.
Contact Force Models for Multibody Dynamics by Paulo Flores, Hamid M. Lankarani