[1]
|
S. Adly and D. Goeleven, A stability theory for second-order nonsmooth dynamical systems with applications to friction problems, J. Math. Pures Appl., 83 (2004), 17-51.
doi: 10.1016/S0021-7824(03)00071-0.
|
[2]
|
S. Adly, A Variational Approach to Nonsmooth Dynamics. Applications in Unilateral Mechanics and Electronics, SpringerBriefs in Mathematics, Springer, Cham, 2017.
doi: 10.1007/978-3-319-68658-5.
|
[3]
|
L. X. Ahn, Dynamics of Mechanical Systems with Coulomb Friction, Foundations of Engineering Mechanics, Springer-Verlag, Berlin, 2003.
doi: 10.1007/978-3-540-36516-7.
|
[4]
|
G. Amontons, On the Resistance Originating in Machines, Proceedings of the French Royal Academy of Sciences, 1699, 206–222.
|
[5]
|
S. Anderson, A. Söderberg and S. Björklund, Friction models for sliding dry, boundary and mixed lubricated contacts, Tribology International, 40 (2007), 580-587.
doi: 10.1016/j.triboint.2005.11.014.
|
[6]
|
B. Armstrong-Hélouvry, Control of Machines with Friction, Kluwer Academic Publishers, Springer, Boston, MA, 1991.
doi: 10.1007/978-1-4615-3972-8.
|
[7]
|
K. J. Ǻström, Control of systems with friction, Proceedings of the Fourth International Conferences on Motion and Vibration Control, (1998), 25–32.
|
[8]
|
P. A. Bliman and M. Sorine, Easy-to-use Realistic Dry Friction Models for Automatic Control, Proc. of 3rd European Control Conference, Rome, Italy, 1995, 3788–3794.
|
[9]
|
L. C. Bo and D. Pavelescu, The friction-speed relation and its influence on the critical velocity of stick-slip motion, Wear, 82 (1982), 277-289.
doi: 10.1016/0043-1648(82)90223-X.
|
[10]
|
H. Brézis, Problémes unilatéraux, J. Math. Pures Appl., 51 (1972), 1-168.
|
[11]
|
C. A. Coulomb, Théorie des machines simples, en ayant egard au frottement de leurs parties, et a la roideur dews cordages, Mem. Math Phys., Paris, (1785), 161–332.
|
[12]
|
L. da Vinci, The Notebooks of Leonardo Da Vinci (Ed. J. P. Richter), Dover Pub. Inc., New York, 1970.
|
[13]
|
A. Dontchev and F. Lempio, Difference methods for differential inclusions: A survey, SIAM Rev., 34 (1992), 263-294.
doi: 10.1137/1034050.
|
[14]
|
D. Goeleven, Complementarity and Variational Inequalities in Electronics, Academic Press, London, 2017.
|
[15]
|
M. Jean and J. J. Moreau, Unilateraly and dry friction in the dynamics of rigid body collections, Proc. Contact Mechanics Int. Symp., (1992), 31–48.
|
[16]
|
D. P. Hess and A. Soom, Friction at a Lubricated Line Contact Operating at Oscillating Sliding Velocities, Journal of Tribology, 112 (1990), 147-152.
doi: 10.1115/1.2920220.
|
[17]
|
D. Karnopp, Computer simulation of stick-slip friction in mechanical dynamic systems, J. Dyn. Sys. Meas. Control., 107 (1985), 100-103.
doi: 10.1115/1.3140698.
|
[18]
|
T. Kato, Accretive operators and nonlinear evolutions equations in banach spaces, Nonlinear Functional Analysis, 18 (1970), 138-161.
|
[19]
|
M. Kidouche and R. Riane, On the design of proportional integral observer for a rotary drilling system, 8th CHAOS Conference Proceedings, Henri Poincaré Institute, (2015), 1–12.
|
[20]
|
R. I. Lein and H. Nijmeijer, Dynamics and Bifurcations of Non-smooth Mechanical Systems, Vol. 18, Lecture Notes in Applied and Computational Mechanics, Springer-Verlag, Berlin, 2004.
doi: 10.1007/978-3-540-44398-8.
|
[21]
|
Y. F. Liu, J. Li, Z. M. Zhang, X. H. Hu and W. J. Zhang, Experimental comparison of five friction models on the same test-bed of the micro stick-slip motion system, Mech. Sci., 6 (2015), 15-28.
doi: 10.5194/ms-6-15-2015.
|
[22]
|
S. E. Lyshevski, Electromechanical Systems and Devices, CRC Press, Boca Raton, 2008.
doi: 10.1201/9781420069754.
|
[23]
|
J. J. Moreau, La notion du surpotentiel et les liaisons unilatérales on elastostatique, C. R. Acad. Sci. Paris Ser. A-B, 267 (1968), A954–A957.
|
[24]
|
J. J. Moreau, Dynamique des Systémes à Liaisons unilatérales avec Frottement sec Éventuel; Essais Numériques, Tech. Rep., Montpellier, France, 1986.
|
[25]
|
J. J. Moreau and P. D. Panagiotopoulos, Non-Smooth Mechanics and Applications, Vol. 302, CISM International Centre for Mechanical Sciences. Courses and Lectures, Springer-Verlag, Vienna, 1988.
doi: 10.1007/978-3-7091-2624-0.
|
[26]
|
A. J. Morin, New friction experiments carried out at Metz in 1831-1833, Proceedings of the French Royal Academy of Sciences, 4 (1833), 1-128.
|
[27]
|
H. Olsson, Control Systems with Friction, Department of Automatic Control, Lund Institute of Technology (LTH), Lund, 1996.
|
[28]
|
H. Olsson, K. J. Aström, C. Canudas de Wit, M. Göfvert and P. Lischinsky, Friction models and friction compensation, European Journal of Control, 4 (1998), 176-195.
|
[29]
|
P. D. Panagiotopoulos, Nonconvex superpotentials in the sense of F. H. Clarke and applications, Mech. Res. Comm., 8 (1981), 335-340.
doi: 10.1016/0093-6413(81)90064-1.
|
[30]
|
P. D. Panagiotopoulos, Hemivariational Inequalities. Applications in Mechanics and Engineering, Springer-Verlag, Berlin, 1993.
doi: 10.1007/978-3-642-51677-1.
|
[31]
|
D. Pascali and S. Sburlan, Nonlinear Mappings of Monotone Type, Sijthoff and Noordhoff International Publishers, Alphen aan den Rijn, 1978.
|
[32]
|
V. L. Popov, Contact Mechanics and Friction. Physical Principles and Applications, Springer, Berlin, Heidelberg, 2010.
|
[33]
|
M. Shillor, M. Sofonea and J. J. Telega, Models and Analysis of Quasistatic Contact. Variational Methods, Springer-Verlag, 2004.
|
[34]
|
O. Reynolds, On the theory of lubrication and its application to Mr. Beauchamp Tower's experiments, including an experimental determination of the viscosity of olive oil, Phil. Trans. R. Soc., 177 (1886), 157-234.
|
[35]
|
R. Stribeck, Die Wesentlichen Eigenschaften der Gleit-und Rollenlager, Springer, 1903.
|
[36]
|
E. Zeidler, Nonlinear Functional Analysis and its Applications, Springer-Verlag, New York, 1990.
doi: 10.1007/978-1-4612-0985-0.
|