By Paulo Flores, Hamid M. Lankarani
This publication analyzes a number of compliant touch strength versions in the context of multibody dynamics, whereas additionally revisiting the most matters linked to basic touch mechanics. specifically, it provides numerous touch strength versions, from linear to nonlinear, from in basic terms elastic to dissipative, and describes their parameters. Addressing different numerical equipment and algorithms for touch difficulties in multibody platforms, the ebook describes the gross movement of multibody structures through the use of a two-dimensional formula in response to absolutely the coordinates and employs diverse touch types to symbolize contact-impact occasions. effects for chosen planar multibody mechanical structures are awarded and applied to debate the most assumptions and systems followed all through this paintings. the fabric supplied right here shows that the prediction of the dynamic habit of mechanical platforms regarding contact-impact strongly is determined by the alternative of touch strength version. briefly, the publication presents a complete 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 info for Contact Force Models for Multibody Dynamics
In this model, the damping term is expressed as a function of indentation, which sounds reasonable from a physical point of view. 5 6 6 Contact force [kN] Penetration Contact force Contact force [kN] 40 Penetration [µm] 31 4 2 0 0 10 20 30 40 Penetration [µm] Time [ms] Fig. , 2009; Silva et al. 2010; Moreira et al. 2012). For instance, Guess et al. (2010) employed the Hunt and Crossley formulation to successfully model the interaction between tibia, femur and menisci in a global three-dimensional multibody human knee model.
For the dissipative force models presented, the amount of energy loss during the impact is related to the lower values of the post-impact velocity. 4 Gonthier et al. 4 0 4 8 12 16 Hertz (1881) Flores et al. 4 0 4 8 12 Indentation x10 -3 [mm] Fig. ; h Gharib and Hurmuzlu value, namely for the Gharib and Hurmuzlu model. , Zhang and Sharf, Zhiying and Qishao, and Flores et al. 2 m/s. 50 3 Dissipative Contact Force Models References Alves J, Peixinho N, Silva MT, Flores P, Lankarani HM (2015) A comparative study of the viscoelastic constitutive models for frictionless contact interfaces in solids.
As mentioned earlier, this does not make any physical sense, in the measure that the bodies cannot attract each other. Another limitation of the Kelvin-Voigt model is that its damping force component is active with the same damping coefﬁcient during the entire impact time interval. This results in uniform dissipation during the compression and restitution phases, which is not fully consistent with reality (Lankarani and Nikravesh 1994; Marhefka and Orin 1999; Gilardi and Sharf 2002; Bibalan and Featherstone 2009; Koshy et al.
Contact Force Models for Multibody Dynamics by Paulo Flores, Hamid M. Lankarani