|
Stability of relative equilibrium of rigid body on revolving elastic rod
V. M. Morozov, A. V. Ilinskaya, Hjao Zhe Lomonosov Moscow State University, Institute of Mechanics
Abstract:
The mechanical system is considered which consists of rigid body connected to the end of revolving elastic massive rod. The sufficient stability conditions of the relative equilibrium states are obtained as the conditions of the positive definiteness of the second variation of the potential energy functional.
Keywords:
elastic rod, potential energy functional, second variation of potential, stability of relative equilibrium states.
Received: 19.06.2013
Citation:
V. M. Morozov, A. V. Ilinskaya, Hjao Zhe, “Stability of relative equilibrium of rigid body on revolving elastic rod”, Matem. Mod., 26:10 (2014), 19–32
Linking options:
https://www.mathnet.ru/eng/mm3523 https://www.mathnet.ru/eng/mm/v26/i10/p19
|
|