Rigid body with fixed point;
Two uniform fields;
Regular precession;
INTEGRABLE PROBLEMS;
DYNAMICS;
MOTION;
EQUATIONS;
D O I:
10.1016/j.mechrescom.2022.104041
中图分类号:
O3 [力学];
学科分类号:
08 ;
0801 ;
摘要:
This article describes all possible cases of regular precession in the motion of a rigid body around a fixed point under the action of two uniform fields. A generalization of the known Yehia conditions is obtained when the precession and proper rotation velocities are equal to each other. A new case of regular precession is found for which the precession velocity is twice the proper rotation velocity, the precession axis may not be orthogonal to the force lines of both fields and is not orthogonal to the proper rotation axis.
机构:
Technion Israel Inst Technol, Fac Mech Engn, IL-3200003 Haifa, IsraelTechnion Israel Inst Technol, Fac Mech Engn, IL-3200003 Haifa, Israel
Or, Yizhar
Varkonyi, Peter L.
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h-index: 0
机构:
Budapest Univ Technol & Econ, Dept Mech Mat & Struct, H-1111 Budapest, HungaryTechnion Israel Inst Technol, Fac Mech Engn, IL-3200003 Haifa, Israel
机构:
King Faisal Univ, Dept Math & Stat, Fac Sci, POB 400, Al Hasa 31982, Saudi Arabia
Mansoura Univ, Dept Math, Fac Sci, Mansoura 35516, EgyptKing Faisal Univ, Dept Math & Stat, Fac Sci, POB 400, Al Hasa 31982, Saudi Arabia