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Analysis of the effect of inertial forces of the electrolyte flow on the ECM machining effects of curvilinear rotary surfaces

Sawicki Jerzy, Paczkowski Tomasz, Zdrojewski Jarosław

Archive of Mechanical Engineering

2022

LXIX, nr 4

645--666

This paper presents an analysis of the impact of inertial forces of the electrolyte flow in an interelectrode gap on the effects of ECM process of curvilinear rotary surfaces. Considering a laminar flow in the interelectrode gap, the equations of the flow of the mixture of electrolyte and hydrogen in the curvilinear orthogonal coordinate system have been defined. Two classes of equations of motion have been formulated, which differ in the estimates referred to the components of velocity and pressure, and which were analytically solved using the method of perturbation. Using the machined surface shape evolution equation, the energy equation, and the analytical solutions for velocity and pressure, the ECM-characteristic distributions have been determined: of mean velocity, pressure, mean temperature, current density, gas phase concentration, the gap height after the set machining time for the case when there is no influence of inertial forces, the effect of centrifugal forces and, at the same time, centrifugal and longitudinal inertial forces.

Free Vibrations of Timoshenko Beam with End Mass in the Field of Centrifugal Forces

Manevich A. I., Vlasova V. Yu.

Mechanics and Mechanical Engineering

2014

Vol. 18, nr 1

37--51

An analysis of natural frequencies and modes for a cantilever radial rotating beam with end mass is carried out within framework of Timoshenko beam model, on the base of convenient dimensionless equations of motion depended only on two dimensionless parameters. It is shown that the shear deformations at high angular speeds lead to significant changes in the natural modes, and as a consequence – to relevant qualitative effects for the natural frequencies.

Numerical investigation of a response of the rotor KJT4 (RK4) with a fatigue crack excited by centrifugal forces due to the disk unbalance

Ferfecki P., Ondrouch J.

Zeszyty Naukowe Katedry Mechaniki Stosowanej / Politechnika Śląska

2006

z. 31

11-14

A method of computational modelling is applicd for invcstigation of influence of transverse fatigue crack located in the midspan of rotor system RK 4. The response of rotor system RK 4 is computed from equations of motion derived in the rotor-fixed co-ordinate system utilizing the Runge-Kutta method of the 4th order. The influence of the crack in rotor system is investigated by means of frequency spectra obtained from time domain response.