The stability of translational motion of a solid with impacts on the horizontal plane


Citar

Texto integral

Acesso aberto Acesso aberto
Acesso é fechado Acesso está concedido
Acesso é fechado Somente assinantes

Resumo

The nonlinear problem on the orbital stability of the periodic motion of a homogeneous paraboloid of revolution above a stationary horizontal plane in a uniform gravitation field is solved. It is assumed that the plane is perfectly smooth and that the impacts of the solid on the plane are perfectly elastic. During unexcited motion, the axis of symmetry of the solid is vertical and the solid moves translationally and periodically encounters the plane. With the method of the Poincare section surfaces the problem is reduced to study of the stability of a stationary point of the self-mapping of the plane, which retains the area. The conditions for stability and instability are obtained for almost all physically permissible values of the parameters of the problem.

Sobre autores

A. Markeev

Ishlinskii Institute for Problems in Mechanics

Email: info@pleiadesonline.com
Rússia, pr. Vernadskogo 101/1, Moscow, 119526

D. Sukhoruchkin

Ishlinskii Institute for Problems in Mechanics; Moscow Aviation Institute (National Research University)

Email: info@pleiadesonline.com
Rússia, pr. Vernadskogo 101/1, Moscow, 119526; Moscow

Arquivos suplementares

Arquivos suplementares
Ação
1. JATS XML

Declaração de direitos autorais © Pleiades Publishing, Ltd., 2016