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Spatial friction as standard NLCP

机译:标准NLCP的空间摩擦

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摘要

Coulomb friction problems can be stated as quasi-variational inequalities. These are variational expressions of certain non-smooth pseudo-potentials which have to be minimized in the sense of a two-person non-cooperative constrained game, consisting of the normal and the tangential player. In this paper we show that spatial Coulomb friction applied to the rolling contact problem in rigid body dynamics may be formulated as a nonlinear complementarity problem in standard form, i.e. as 0 less than or equal to x perpendicular to f(x) > 0 with continuous and differentiable x --> f(x). [References: 4]
机译:库仑摩擦问题可以表示为准变分不等式。这些是某些非平滑伪势的变分表达式,就两人非合作约束博弈(包括法线和切向玩家)而言,必须将其最小化。在本文中,我们表明,应用于标准刚体动力学中的滚动接触问题的空间库仑摩擦可表示为标准形式的非线性互补问题,即在垂直于f(x)> 0且连续的情况下0小于或等于x可微x-> f(x) [参考:4]

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