Formulating a consistent theory for rigidbody dynamics with impacts is an intricate problem. Twenty years ago Stewart published the first consistent theory with purely inelastic impacts and an impulsive friction model analogous to Coulomb friction. In this paper we demonstrate that the consistent impact model can exhibit multiple solutions with a varying degree of dissipation even in the single...

Articles you may be interested in Velocity dependence of friction and Kramers relaxation rates Is slow thermal isomerization in viscous solvents understandable with the idea of frequency dependent friction? We present new data on the ground state isomerization rate of DODeI and compare our results to previously obtained excited state data. We find that the one-dimensional Kramers expression doe...

We report a quartz crystal microbalance study of sliding friction levels in N2, H2O, and superheated He films adsorbed on Pb(111) substrates alternating in and out of the superconducting state. Reductions in friction upon entry into the superconducting state are greater for N2 than He, consistent with a recent theory that linked electronic friction to adsorbate polarizability. Our work also rev...

The hydrodynamic friction used in many comparisons of isomerization reactions with Kramers’ theory is shown to be related to the translational friction. The fractional viscosity dependence of the translational friction of naphthalene is shown to account for the failure of hydrodynamic models for 1,l ‘-binaphthyl in alkanes. The success of the reorkntational model of friction is also discussed. ...

We present results from an independent analysis of friction that more generally addresses all crystalline materials by an extension of coincident site lattice theory and dislocation drag. Calculations for graphitic friction are carried out and agree in magnitude with experimental friction forces. More interestingly, static, dynamic and anisotropic friction forces, incommensurability effects and...

the previous studies show that a high percentage of traffic accidents take place in two-lane rural highways and most of which happen at horizontal curves. meanwhile the horizontal alignment is often subject to hard topographic conditions where because of economic aspects designers are forced to design horizontal curves at grades. vertical angle of longitudinal slope reduces the normal force of ...

We present a novel theory of the adhesive contact linear viscoelastic materials against rigid substrates moving at constant velocity. Despite non-conservative behavior system, closure equation problem can be rigorously formulated in form local energy balance. In case adhesiveless contacts, this is equivalent to enforce stationarity total stored into material. However, presence interfacial adhes...

We conducted experiments in which steel and silicon or quartz are clamped together. Even with the smallest tangential forces we could apply, we always found reproducible sliding motions on the nanometer scale. The velocities we study are thousands of times smaller than in previous investigations. The samples first slide and then lock up even when external forces hold steady. One might call the ...

The famous Kramers rate theory for diffusion-controlled reactions has been extended in numerous ways and successfully applied to many types of reactions. Its application to protein folding reactions has been of particular interest in recent years, as many researchers have performed experiments and simulations to test whether folding reactions are diffusion-controlled, whether the solvent is the...

In 1883 Johannes von Kries published the theory of waterhammer in a study of blood flow in arteries. He derived the “Joukowsky formula” before Joukowsky (1898) and Frizell (1898) did. He considered skin friction in unsteady laminar flow and thus derived formulas for wave attenuation and line pack. The theory was confirmed by experimental results obtained in rubber hoses. In 1892 he published th...