Slow translation and fast rotation motions of an unbalanced particle subjected to propagating wave

The analysed system has three degrees of freedom in a plane: translation motion in the direction of wave propagation, oscillatory motion in the direction orthogonal to the direction of wave propagation, and the rotation motion. The dynamical parameters of the system are approximated for steady state motions. It is shown that the particle can be translated by the velocity much lower that the velocity of wave propagation. At the same time it can experience high angular frequency rotation motion. The condition of existence of such type of regime of motion is determined. Such modes of motion can exist in gaseous of liquid environment whenever an unbalanced particle is subjected to propagating longitudinal wave

Chain type system with wave excitation

Various systems based on waves and vibrations are used for displacing, grouping, classification of multidimensional media and bodies. This paper deals with such wave operation based systems augmented by self-stopping elements which ensure one-directional motion of the driven sub-systems. Such enhancements can improve some dynamical characteristics of the analysed systems. The objective of this paper is to develop models of systems and methods of analysis which would help to reveal nonlinear dynamical properties and phenomena of those systems. The conditions of solutions' existence and stability, basin boundaries are determined. Simpler cases are analysed analytically. The obtained relationships provide insight into nonlinear dynamics of complex systems which are analysed numerically

Slow translation and fast rotation motions of an unbalanced particle subjected to propagating wave

The analysed system has three degrees of freedom in a plane: translation motion in the direction of wave propagation, oscillatory motion in the direction orthogonal to the direction of wave propagation, and the rotation motion. The dynamical parameters of the system are approximated for steady state motions. It is shown that the particle can be translated by the velocity much lower that the velocity of wave propagation. At the same time it can experience high angular frequency rotation motion. The condition of existence of such type of regime of motion is determined. Such modes of motion can exist in gaseous of liquid environment whenever an unbalanced particle is subjected to propagating longitudinal wave

Chain type system with wave excitation

Various systems based on waves and vibrations are used for displacing, grouping, classification of multidimensional media and bodies. This paper deals with such wave operation based systems augmented by self-stopping elements which ensure one-directional motion of the driven sub-systems. Such enhancements can improve some dynamical characteristics of the analysed systems. The objective of this paper is to develop models of systems and methods of analysis which would help to reveal nonlinear dynamical properties and phenomena of those systems. The conditions of solutions' existence and stability, basin boundaries are determined. Simpler cases are analysed analytically. The obtained relationships provide insight into nonlinear dynamics of complex systems which are analysed numerically

Representation of time averaged vibrating images in the operator format

The process of time averaging of greyscale images is expressed in the operator format. It is shown that the inverse problem of the reconstruction of the original image from its time averaged image is an ill-posed problem. Application of time averaging techniques is proposed for cryptographic applications especially when the density function of variable defining the dynamic deflection from the state of equilibrium is arcsine distributio

Behaviour of dynamic processes in self-exciting vibration of a pipe robot

In this paper, a robot for inpipe inspection of underground urban gas pipeline is presented. The robot is developed for visual and Non-Destructive Testing of the pipeline networks. The dynamic model of an inpipe robot with a self – exciting vibratory drive is presented and the equations of its movement were derive

Analysis of the dynamics of the vibratory valve-injector

Construction of a novel vibratory valve-injector and its design optimization is presented in the paper. The principle of the system operation is based on the effect of dynamic positioning of a steel ball in a vibrating tube. Theoretical analysis of the stability of this non-linear system is coupled together with the experimental study of an operating valve. Laser holographic interferometry is used for the identification and optimization of working regimes of the syste

Analysis of mini submarine control based on moiré interferometry

The purpose of this work is to create a new remotely controlled mini submarine used in robotics or in toy industry. To prepare the numerical and mathematical models for identification of the most optimum ratio alfa1/alfa2 of raster discs, number of raster notches, and a required angle of one disc turn beta, for changing the flow direction and, simultaneously, the sailing direction of the mini submarin

Calculation of vibrations of a single degree of freedom system

The three node numerical integration scheme with the displacement and velocity as the nodal variables for integration of the second order differential equation using finite elements in time on the basis of the method of least squares is proposed. The precision of integration is investigated and compared with the corresponding procedure based on the method of Galerkin. The error measure is introduced which shows the higher precision of the least squares techniqu