Nonlinear model of frictional impact of rigid body with rigid rough plane
Journal Title: Дослідження в математиці і механіці - Year 2015, Vol 20, Issue 2
Abstract
Dynamics of reduced to the first order chain vibratory impact system with Coulomb friction is investigated. This system is suggested as a model of phenomena that occur under oblique impact of rigid body with perfectly rigid rough plane. Multiple impacts with friction were investigated by using of Routh approach. It was considered that every impact consists of two consecutive stages. First stage is motion without contact between chain vibratory impact system and rough rigid plane. Second stage is slipping motion with Coulomb friction of chain vibratory impact system on rough rigid plane. It was shown that possibility of complete damping of oscillations in chain vibratory impact system depends on time between two consecutive impacts.
Authors and Affiliations
M. P. Plakhtienko, A. G. Zabuga
The ordinary differential equations systems solubility in respect to the derivatives
Questions are investigated about bringing the system of ordinary differential equations not solved with respect to derivatives to the systems, solved with respect to derivatives, or partially solved with respect to deriv...
On an adaptive method of regulator parameters adjustment at discrete time points
We offer an adaptive method of regulator parameters correction at discrete points of time. The method is based on the following idea: we choose the parameters of the parametric regulator at discrete moments of time minim...
About solvability of initial problem for differential equation with maximum
Initial value problem for differential equation with maximum is considered. Sufficient conditions of existence and uniqueness solution for this problem are presented.
Hyperbolic equation with singular coefficient
Dedicated to research existence conditions of quasi-linear differential equations with measurable coefficients, ie the study limitations imposed by the non linearity in which the system will have to research a solution a...
CHARACTER SUMS ANALOGUE OF KLOOSTERMAN SUMS ON NORM GROUP
We consider character sums, analogue of Kloosterman sums over norm group in the ring of Guassian integers. We obtain non-trivial estimation of exponential sums and character sums modulo pm, where p — prime number, p ≡ 3...