首页 | 本学科首页   官方微博 | 高级检索  
     


New solutions of classical problems in rigid body dynamics
Affiliation:1. DEIM, University of Tuscia, Largo dell’Università, 01100 Viterbo, Italy;2. Department of Enterprise Engineering, University of Rome “Tor Vergata”, Via del Politecnico 1, 00133 Rome, Italy;1. Istituto per le Applicazioni del Calcolo CNR, Via dei Taurini 19, 00185 Rome, Italy;2. Faculty of Physics, University of Vienna, Boltzmanngasse 5, 1090 Vienna, Austria;3. Dipartimento di Matematica e Fisica “Ennio De Giorgi”, University of Salento, via Arnesano, 73100 Lecce, Italy;4. Istituto Nanoscienze-CNR, Euromediterranean Center for Nanomaterial Modelling and Technology (ECMT), via Arnesano, I-73100 Lecce, Italy;1. Division of Genetics, The Institute of Medical Science, The University of Tokyo, Shirokanedai, Minato-ku, Tokyo, 108-8639, Japan;2. Division of Cellular and Molecular Biology, The Institute of Medical Science, The University of Tokyo, Shirokanedai, Minato-ku, Tokyo, 108-8639, Japan;3. Department of Molecular Pharmacology, Medical Research Institute, Tokyo Medical and Dental University, Yushima, Bunkyo-ku, Tokyo, 113-8510, Japan;1. Instituto de Ciencias Físicas, Universidad Nacional Autónoma de México, Av. Universidad s/n, 62251 Cuernavaca, Mexico;2. Department of Physics, School of Science, Aristotle University of Thessaloniki, GR-541 24 Thessaloniki, Greece
Abstract:The equations of motion of a rigid body acted upon by general conservative potential and gyroscopic forces were reduced by Yehia to a single second-order differential equation. The reduced equation was used successfully in the study of stability of certain simple motions of the body. In the present work we use the reduced equation to construct a new particular solution of the dynamics of a rigid body about a fixed point in the approximate field of a far Newtonian centre of attraction. Using a transformation to a rotating frame we also construct a new solution of the problem of motion of a multiconnected rigid body in an ideal incompressible fluid. It turns out that the solutions obtained generalize a known solution of the simplest problem of motion of a heavy rigid body about a fixed point due to Dokshevich.
Keywords:Rigid body dynamics  Particular solutions  Motion of a rigid body in a liquid  Newtonian field  Attraction centre
本文献已被 ScienceDirect 等数据库收录!
设为首页 | 免责声明 | 关于勤云 | 加入收藏

Copyright©北京勤云科技发展有限公司  京ICP备09084417号