FAST SOLUTION TO FIND QUASI-STATIC PARAMETERS IN ELASTIC CONTACT USING LINEAR DISPLACEMENT AND VARIABLE SFIFFNESS
Abstract
Hertz theory expresses the dependence between load and contact approach, using a nonlinear function. Usually, an exponent p=1.5 for point contact or p=1.11 for line contact is chosen. If we look at measure units, then a correlation results between load and an exponential function of displacement. Q = C * δ p , where Q is the load, C the contact stiffness, δ is the displacement and p an exponent. That observation shows that the contact stiffness has to have Newton/meter^p as measure unit.
This paper presents a linear dependence between load and displacement, applied either to point contact type or line contact, equivalent with p exponent equal to 1. Results calculated with the new relationship are successfully compared to results calculated with other published relationships and to some available experimental results, presented in literature.
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