TY - JOUR
ID - 17074
TI - A New Solution for the Classical Problem of a Rigid Body Motion in a Liquid
JO - Journal of Applied and Computational Mechanics
JA - JACM
LA - en
SN -
AU - Yehia, H.M.
AU - Megahid, S.F.
AD - Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt
Y1 - 2021
PY - 2021
VL - 7
IS - 4
SP - 2179
EP - 2184
KW - Rigid body dynamics
KW - Motion of a rigid body in a liquid
KW - Particular solutions
KW - The reduced equation
DO - 10.22055/jacm.2021.38552.3245
N2 - We consider the problem of the motion of a rigid body-gyrostat immersed in an incompressible ideal fluid. Based on Yehia's study [1, 2], the equations of the motion of the problem are introduced and they are reduced to the orbital equation. This reduced equation may be used to study the stability of certain motions of the body [3] and to obtain solutions for the classical problems in rigid body dynamics [4]. Using the orbital equation, a single new solution of the considered problem is obtained in which the angle between the body axis of symmetry and the vertical axis is constant.
UR - https://jacm.scu.ac.ir/article_17074.html
L1 - https://jacm.scu.ac.ir/article_17074_39e5063fa3a8bdde58c8cd6af33e9e97.pdf
ER -