Mechanical Models of Friction That Exhibit Hysteresis, Stick-Slip, and the Stribeck Effect.

Friction Modeling;Stick-slip;Stribeck Effect;Aerospace Engineering;Engineering;Aerospace Engineering

Drincic, BojanaKabamba, Pierre Tshimanga ;

University of Michigan

关键词: Friction Modeling;    Stick-slip;    Stribeck Effect;    Aerospace Engineering;    Engineering;    Aerospace Engineering;   

Others  :  https://deepblue.lib.umich.edu/bitstream/handle/2027.42/93899/bojanad_1.pdf?sequence=1&isAllowed=y

瑞士|英语

来源: The Illinois Digital Environment for Access to Learning and Scholarship

【 摘 要 】

In this dissertation, we model hysteretic and friction phenomena without introducingfriction or hysteresis per se. We use a combination of masses, springs, anddashpots and the frictional phenomena emerge as the result of their interaction. Byusing physical elements, we can understand the physical mechanisms that lead to hystereticenergy dissipation and phenomena, such as stick-slip behavior and the Stribeckeffect. Furthermore, we study the origins of butterfly hysteresis, which arises in opticsand ferromagnetism.We define the multiplay model for hysteresis with nonlocal memory, which consistsof N mass/spring/dashpot with deadzone elements. The advantage of this model isthat its hysteresis map can be inverted analytically.Second, we investigate the origins of stick-slip friction by developing an asperitybasedfriction model involving the frictionless contact between a body and a row ofrigid, rotating bristles. This model exhibits hysteresis and quasi-stick-slip friction.The hysteretic energy-dissipation mechanism is the sudden release of the pivoted bristles. The discontinuous rotating bristle model is an approximation of the rotatingbristle model that exhibits exact stick-slip and hysteresis.We next develop an asperity-based friction model in which the vertical motionof the body leads to the Stribeck effect. The friction model is hysteretic and theenergy-dissipation mechanism is the sudden release of the compressed bristles. Weshow that this bristle model is a generalization of the LuGre model.The final contribution of this dissertation is a framework for relating butterflyshapedhysteresis maps to simple hysteresis maps, which are typically easier to modeland more amenable to control design. In particular, a unimodal mapping is used totransform simple loops to butterfly loops.