The optimum rectilinear motion of a two-mass system |
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| Institution: | 1. Università di Bologna “Alma Mater Studiorum”, Viale Berti Pichat 6/2, 40126 Bologna, Italy;2. Istituto Nazionale di Geo?sica e Vulcanologia, Via di Vigna Murata 605, 00143 Roma, Italy;1. Dipartimento di Matematica e Geoscienze, Università di Trieste, P.le Europa 1, I-34127 Trieste, Italy;2. SISSA – International School for Advanced Studies, Via Bonomea 265, I-34136 Trieste, Italy;1. Space Research Institute of Russian Academy of Sciences, Profsoyuznaya 84/32, 117997, Moscow, Russia;2. Moscow Institute of Physics and Technology, Institutskyi per. 9, 141700, Dolgoprudny, Moscow Region, Russia;3. Polar Geophysical Institute of Russian Academy of Sciences, Akademgorodok 26a, 184209, Apatity, Murmansk Region, Russia |
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| Abstract: | The forward rectilinear motion of a system of two rigid bodies along a horizontal plane is considered. Forces of dry friction act between the bodies and the plane, and the motion is controlled by internal forces of interaction between the bodies. A periodic motion in which the system moves along a straight line is constructed. The optimum parameters of the system and a control law are found corresponding to the maximum mean velocity of motion of the system as a whole. |
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