Some Considerations on Characteristics of Static Friction of Machine Tool Slideway

Abstract

The fundamental characteristics of “stick-slip” motion in a machine tool slideway is ascertained experimentally, and it is clarified that the time-dependence of static friction has a great influence on the behavior of the stick-slip motion. An empirical formula is proposed to express the characteristics of static friction and the mechanism of the time-dependence of static friction is examined experimentally and theoretically. The influence of properties of lubricants and surface topography on the static friction is investigated quantitatively. Finally, a general conception to prevent stick-slip motion is offered.

The Effect of Dwell Time on the Static Friction in Creeping Elastic–Plastic Polymer Spherical Contact

“…The static friction coefficient at any dwell time, for P* \ 16, can be obtained from Eqs. (10,16,18, and 20 in the form:…”

“…Many experimental studies concerning increase of friction with dwell time were published so far, for example [2,[5][6][7][8][9][10][11]. Coulomb in 1785 [6] was probably the first to explore this effect and report a 140% growth in static friction coefficient between an oak slider and an iron bed after a dwell-time period of 4 days.…”

“…The first model, presented in Eq. 1, is based on an exponential growth [9,10], suggesting that the static friction coefficient reaches asymptotically a maximum value after a certain dwell time. The second model (see Eq.…”

A modified LuGre friction model for an accurate prediction of friction force in the pure sliding regime

“…Several experimentally observed friction phenomena have been reported in the literature; some of them are: (a) static friction, break-away force and dynamic friction [9][10][11], (b) pre-sliding displacement [12], (c) Stribeck effect [13][14][15][16][17][18][19], (d) hysteretic effects [6,13,14,17,[20][21][22][23][24][25][26][27][28][29][30][31][32][33][34][35][36], (e) dwell-time and rising break-away force [37][38][39], and (f) stick-slip motion [6,16,20,22,[37][38][39][40][41]. Static friction is the friction force during sticking.…”

Formulation of Presliding Domain Non-local Memory Hysteretic Loops Based Upon Modified Maxwell Slip Model

“…Such a interpretation is descriptive, rather than strict, as this mechanical phenomenon reveals greatly nonlinear behaviour and incorporates range of phenomena to date not fully discovered. These phenomena, addressed in the literature, include: static friction, breakaway force and dynamic friction [1][2][3], presliding displacement [4], Stribeck effect [5][6][7][8][9][10][11], hysteretic effects [5,6,9,[12][13][14][15][16][17][18][19][20][21][22][23][24][25][26][27][28][29], dwell-time and rising breakaway force [30][31][32], and stickslip motion [8,12,13,15,[30][31][32][33]. Recently, the studies also extend to the analysis of synchronization of frictional systems, [34,35].…”