oscillating system

DETERMINING THE INFLUENCE OF CONTINUOUS SECTION SHAPE AND DIMENSIONS ON STRESSES OVER A WIDE RANGE OF VIBRATION FREQUENCY

Problem statement. Considering the prospects of using discrete-continuous vibration machines, there is a need to study the properties of continuous sections, which are elastic plates, in a wide range of frequencies. Purpose. It consists of studying the frequency response of continuous sections of various shapes and sizes from the harmonic disturbance force and identifying the frequency ranges in which the maximum stresses will be observed. Methodology. A schematic diagram of a discrete-continuous oscillating system is given.

Substantiation of Parameters and Analysis of Operational Characteristics of Oscillating Systems of Vibratory Finishing Machines

The calculation diagrams of oscillating systems and operation features of vibratory finishing machines are considered. The mathematical models of three-mass and four-mass oscillating systems are presented. The amplitude values of the oscillating masses displacements are derived. The functions of inertial and stiffness parameters optimization are formed. The optimization problems are solved with a help of MathCAD software.

Nonlinear oscillations of elastic beam including dissipation and the galerlkin method in their investigation

The paper is devoted to the research of the oscillating system that is described by the first mixed problem for the weakly nonlinear equation of the  beam vibrations in a bounded domain. The conditions of the existence of the local, according to a time variable, solution have been obtained. Oscillating blowup regime is especially highlighted.  The possibility of the Galerkin method application to the problem is shown.