Rigid Body Dynamics
portes grátis
Rigid Body Dynamics
A Lagrangian Approach
Yehia, Hamad M.
Springer Nature Switzerland AG
06/2022
460
Dura
Inglês
9783030963354
15 a 20 dias
893
Descrição não disponível.
Introduction.- Part 1. Overview of Rigid Body Dynamics.- Distribution of mass.- Description of rotation of a rigid body about a fixed point.- The classical problem: The motion of a heavy rigid body about a fixed point.- General and conditional integrable cases of the classical problem.- The motion of a heavy gyrostat.- Motion of rigid body about a fixed point in the field of a distant Newtonian centre and Brun's problem.- The motion of a body with no fixed point.- Part 2. Research on Rigid Body Dynamics.- Particular solutions of the classical problem and its generalizations.- The rigid body in a potential field.- The problem of motion of a body in a liquid.- The general problem of motion of a rigid body acted upon by a coaxial combination of potential and gyroscopic forces.- The most general integrable in rigid body dynamics.- Miscellaneous cases integrable on a single level of the areas integral.- The rigid body acted upon by a skew combination of fields.
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Rigid body dynamics;Lagrangian mechanics;Equations of motion;Integrable systems;Motion of a body in a liquid;Rigid body fixed point;Rigid body integrable cases;Rigid body integrability;Rigid body motion;Rigid body transformation;Lagrangian approach;Euler-Lagrange equations;Euler-Poincare equations;Legendre transformations;Rotation matrix;Hamiltonian form
Introduction.- Part 1. Overview of Rigid Body Dynamics.- Distribution of mass.- Description of rotation of a rigid body about a fixed point.- The classical problem: The motion of a heavy rigid body about a fixed point.- General and conditional integrable cases of the classical problem.- The motion of a heavy gyrostat.- Motion of rigid body about a fixed point in the field of a distant Newtonian centre and Brun's problem.- The motion of a body with no fixed point.- Part 2. Research on Rigid Body Dynamics.- Particular solutions of the classical problem and its generalizations.- The rigid body in a potential field.- The problem of motion of a body in a liquid.- The general problem of motion of a rigid body acted upon by a coaxial combination of potential and gyroscopic forces.- The most general integrable in rigid body dynamics.- Miscellaneous cases integrable on a single level of the areas integral.- The rigid body acted upon by a skew combination of fields.
Este título pertence ao(s) assunto(s) indicados(s). Para ver outros títulos clique no assunto desejado.
Rigid body dynamics;Lagrangian mechanics;Equations of motion;Integrable systems;Motion of a body in a liquid;Rigid body fixed point;Rigid body integrable cases;Rigid body integrability;Rigid body motion;Rigid body transformation;Lagrangian approach;Euler-Lagrange equations;Euler-Poincare equations;Legendre transformations;Rotation matrix;Hamiltonian form
