Abstract
The article describes the functional relationship between the geometric parameters of the spiral screw and the kinematic motion characteristics of the material being moved and its individual particles. The authors considered the movement of a particle in the cylindrical system of coordinates. Differential equations have been obtained, which describe the motion trajectory of a material particle along the inner surface of the casing of a spiral–helical device.
Highlights
1 Introduction To calculate and design a device with a spiral-helical working body, it is necessary to know the functional relationship between its parameters and the kinematic motion characteristics of the material being moved and its individual particles. Such a connection can be found for the case when a material particle, with the steady state of motion, moves along the device casing in the axial direction and makes a curved linear motion along the internal surface of the casing
The following forces have been applied to the moving particle: G=mg – gravity force, N; N2 – normal reaction of the inner surface of the casing, N; N1 – normal reaction of the spiral turn surface, N; f2 N2 – friction force of particles on the inner surface of the casing; f1N1
3 and 4 graphic interpretations of the calculation results are given for a spiralhelical device with the following characteristics: f1 = 0,5; f2 = 0,3; ω = 2 s-1; δ = 5°;; d = 0,003 m; r1 = 0,004 m; r0 = 0,045 m; r2 = 0,02 m; s = 0,006...0,012 m – variable pitch of the helical line of a helix
Summary
To calculate and design a device with a spiral-helical working body, it is necessary to know the functional relationship between its parameters and the kinematic motion characteristics of the material being moved and its individual particles. Such a connection can be found for the case when a material particle, with the steady state of motion, moves along the device casing in the axial direction and makes a curved linear motion along the internal surface of the casing
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