Energy dissipation and hysteresis cycles in pre-sliding transients of kinetic friction
Applications of Mathematics (2023)
- Volume: 68, Issue: 6, page 845-860
- ISSN: 0862-7940
Access Full Article
topAbstract
topHow to cite
topReferences
top- Al-Bender, F., Symens, W., Swevers, J., Brussel, H. Van, 10.1016/j.ijnonlinmec.2004.04.005, Int. J. Non-Linear Mech. 39 (2004), 1721-1735. (2004) Zbl1349.74291DOI10.1016/j.ijnonlinmec.2004.04.005
- Armstrong-Hélouvry, B., Dupont, P., Wit, C. C. De, 10.1016/0005-1098(94)90209-7, Automatica 30 (1994), 1083-1138. (1994) Zbl0800.93424DOI10.1016/0005-1098(94)90209-7
- Bertotti, G., (Eds.), I. D. Mayergoyz, The Science of Hysteresis. Vol. I. Mathematical Modeling and Applications, Elsevier, Amsterdam (2006). (2006) Zbl1117.34045MR2307929
- Bertotti, G., (Eds.), I. D. Mayergoyz, The Science of Hysteresis. Vol. II. Physical Modeling, Micromagnetics, and Magnetization Dynamics, Elsevier, Amsterdam (2006). (2006) Zbl1117.34046MR2307930
- Bertotti, G., (Eds.), I. D. Mayergoyz, The Science of Hysteresis. Vol. III. Hysteresis in Materials, Elsevier, Amsterdam (2006). (2006) Zbl1117.34047MR2307931
- Bliman, P.-A. J., Mathematical study of the Dahl's friction model, Eur. J. Mech., A 11 (1992), 835-848. (1992) Zbl0766.73059MR1196551
- Brokate, M., Sprekels, J., 10.1007/978-1-4612-4048-8, Applied Mathematical Sciences 121. Springer, New York (1996). (1996) Zbl0951.74002MR1411908DOI10.1007/978-1-4612-4048-8
- Corless, R. M., Gonnet, G. H., Hare, D. E. G., Jeffrey, D. J., Knuth, D. E., 10.1007/BF02124750, Adv. Comput. Math. 5 (1996), 329-359. (1996) Zbl0863.65008MR1414285DOI10.1007/BF02124750
- Dahl, P. R., A Solid Friction Model, Aerospace Corporation, Los Angeles (1968), Available at https://apps.dtic.mil/sti/pdfs/ADA041920.pdf. (1968)
- Dahl, P. R., 10.2514/3.61511, AIAA Journal 14 (1976), 1675-1682. (1976) DOI10.2514/3.61511
- Greenwood, J. A., Minshall, H., Tabor, D., 10.1098/rspa.1961.0004, Proc. R. Soc. Lond., Ser. A 259 (1961), 480-507. (1961) DOI10.1098/rspa.1961.0004
- Koizumi, T., Shibazaki, H., 10.1016/0043-1648(84)90202-3, Wear 93 (1984), 281-290. (1984) DOI10.1016/0043-1648(84)90202-3
- Krejčí, P., Hysteresis, Convexity and Dissipation in Hyperbolic Equations, GAKUTO International Series. Mathematical Sciences and Applications 8. Gakkotosho, Tokyo (1996). (1996) Zbl1187.35003MR2466538
- Lacarbonara, W., Vestroni, F., 10.1023/A:1024423626386, Nonlinear Dyn. 32 (2003), 235-258 9999DOI99999 10.1023/A:1024423626386 . (2003) Zbl1062.70599DOI10.1023/A:1024423626386
- Lampaert, V., Al-Bender, F., Swevers, J., 10.1023/B:TRIL.0000009719.53083.9e, Tribology Lett. 16 (2004), 95-105. (2004) DOI10.1023/B:TRIL.0000009719.53083.9e
- Ruderman, M., 10.1016/j.mechatronics.2015.07.007, Mechatronics 30 (2015), 225-230. (2015) DOI10.1016/j.mechatronics.2015.07.007
- Ruderman, M., 10.1002/asjc.2718, Asian J. Control 24 (2022), 2877-2887. (2022) MR4525023DOI10.1002/asjc.2718
- Ruderman, M., Rachinskii, D., 10.1088/1742-6596/811/1/012013, J. Phys., Conf. Ser. 811 (2017), Article ID 012013, 10 pages. (2017) MR3785348DOI10.1088/1742-6596/811/1/012013