Direct and inverse secondary resonance effects in the spherical motion of an asymmetric rigid body with moving masses
| Autor: | V. V. Lyubimov |
|---|---|
| Rok vydání: | 2020 |
| Předmět: |
Physics
Asymptotic analysis Mechanical Engineering Computational Mechanics Inverse Angular velocity 02 engineering and technology Rigid body 01 natural sciences Resonance (particle physics) Displacement (vector) 010305 fluids & plasmas 020303 mechanical engineering & transports Classical mechanics 0203 mechanical engineering 0103 physical sciences Moment (physics) Center of mass |
| Zdroj: | Acta Mechanica. 231:4933-4946 |
| ISSN: | 1619-6937 0001-5970 |
| DOI: | 10.1007/s00707-020-02790-9 |
| Popis: | Secondary resonance effects in the spherical motion of a heavy asymmetrical rigid body with moving masses are reviewed in the case close to the Lagrange top. It is known that perturbations acting on the body, particularly a small displacement of the center of mass with respect to axis of symmetry and a small perturbing moment in a connected system of coordinates, lead to non-resonant evolutions of angular velocity. These evolutionary phenomena are called direct secondary resonance effects. They are visible in a dynamic system consisting of an asymmetric rigid body and several masses fixed relative to the body. However, the presence of moving masses connected to a rigid body by springs may lead to the stabilization of the angular velocity of the body. This dynamic phenomenon should be attributed to the inverse secondary resonance effect. The aim of this paper is to study the characteristic direct and inverse secondary resonance effects in a perturbed spherical motion of a rigid body with fixed and moving masses. The method of integral manifolds and the averaging method are used for the asymptotic analysis of the secondary resonance effects. The paper presents the numerical results of modeling the direct and inverse resonance effects. |
| Databáze: | OpenAIRE |
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