Eliseev S.V., Eliseev A.V., Kashuba V.B. Features of gap estimation in model problem of flipping particle with unilateral constraints
Features of gap estimation in model problem of flipping particle with unilateral constraints
Eliseev S.V., Eliseev A.V., Kashuba V.B.
The article presents the research results of mechanical systems with unilateral constraints. The model problem of flipping a particle on a horizontal surface with unilateral constraints under gravitation is considered. The re-search deals with the time and height of the particle reaching the surface in accordance with the surface frequency and vibration amplitude. The estimation of the gap between the material particle and the vibration surface is obtained. The paper presents analytical ratios of frequency and the surface vibration amplitude that provide a predetermined height or the reaching time of the material particle. A number of maximum flipping characteristics are given. The paper discusses restrictions on the mathematical model parameters, based on the surface physical characteristics and the ways to modify the original mathematical model. The methodological framework can be used in the research of continuous flipping mode, taking into consideration some additional constant force.
Keywords: unilateral constraints, the interaction of a particle with the vibrating surface, one-touch flipping mode, multiple flipping mode, the gap between particle and surface, flipping height, flipping time, the particle take-off.
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«Engineering industry and life safety» №1 (15), 2013. Pages: 50-56
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Eliseev Sergey Viktorovich – Professor, Irkutsk State University of Railway Transport, Irkutsk, Russia. E-mail: eliseev_s@inbox.ru
Eliseev Andrey Vladimirovich – Graduate student, Irkutsk State University of Railway Engineering, Irkutsk, Russia. E-mail: andrey.marketer@gmail.com
Kashuba Vladimir Bogdanovich – Ph.D., Bratsk State University, Bratsk, Russia. E-mail: plemja@rambler.ru
Eliseev S.V., Kashuba V.B., Bolshakov R.S. Possible influence of external factors on the reduced stiffness of the system
Possible influence of external factors on the reduced stiffness of the system
Eliseev S.V., Kashuba V.B., Bolshakov R.S.
Approach of change of dynamical condition of vibroprotection systems through introduction of additional connection force influence are considered. Such approach accordances to form of automatical control by force of influence. Key moment in formation of offering method is presence two (at least) external influences in relation which are supposed installation possibility of function tie. Usually form of tie are considered in the form constant coefficient between amplitude meaning of external influences. Sign of coefficient is taken into account. Change coerced rigidities possibilities are shown that is change her parameters at different coefficients of tie. Influence processes on state ties of systems related to change frequencies own oscillations possibilities, dynamical absorbtion regimes and other.
Keywords: vibroprotection system, control to the influence, dynamical absorbtion of oscillations.
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«Engineering industry and life safety» №3 (13), 2012. Pages: 46-52
Download full text:
Eliseev Sergey Viktorovich – Professor, Irkutsk State University of Railway Transport, Irkutsk, Russia. E-mail: eliseev_s@inbox.ru
Kashuba Vladimir Bogdanovich – Ph.D., Director of Technopark Bratsk State University, Irkutsk, Russia. E-mail: plemja@rambler.ru
Bolshakov Roman Sergeevich – graduate student, Irkutsk State University of Railway Engineering, Irkutsk, Russia. E-mail: bolshakov_rs@mail.ru
