scholarly journals Research of particle movement on cylinder outer surface during its progressive oscillations in horizontal planes

2020 ◽  
Vol 11 (4) ◽  
pp. 101-105
Author(s):  
T. M. Volina ◽  
◽  
S. F. Pylypaka ◽  
Keyword(s):  
Numerical Methods ◽  
Differential Equations ◽  
Relative Motion ◽  
Outer Surface ◽  
Horizontal Plane ◽  
External Surface ◽  
Relative Movement ◽  
Particle Movement ◽  
Angle Of Friction ◽  
Oscillatory Movement

The differential equations of relative movement of a particle on the external surface of the inclined cylinder which carries out oscillatory movement were received in the article. All points of the cylinder describe circles in horizontal planes. The equations were solved by numerical methods and the trajectories of the relative motion of the particle on the surface of the cylinder are constructed. Graphs of other kinematic characteristics as a function of time are given. Partial cases when the axis of the cylinder is located horizontally or at an angle of friction to the horizontal plane are considered.

Glycemia monitoring

1998 ◽  
Vol 2 ◽  
pp. 23-30
Author(s):  
Igor Basov ◽  
Donatas Švitra
Keyword(s):  
Diabetes Mellitus ◽  
Mathematical Model ◽  
Numerical Methods ◽  
Differential Equations ◽  
Blood Sugar ◽  
Self Regulation ◽  
Physiological System ◽  
Non Linear ◽  
The Mathematical Model

Here a system of two non-linear difference-differential equations, which is mathematical model of self-regulation of the sugar level in blood, is investigated. The analysis carried out by qualitative and numerical methods allows us to conclude that the mathematical model explains the functioning of the physiological system "insulin-blood sugar" in both normal and pathological cases, i.e. diabetes mellitus and hyperinsulinism.

Numerical methods for differential algebraic equations

Acta Numerica ◽  
1992 ◽  
Vol 1 ◽  
pp. 141-198 ◽  
Author(s):  
Roswitha März
Keyword(s):  
Numerical Methods ◽  
Differential Equations ◽  
Ordinary Differential Equations ◽  
Differential Algebraic Equations ◽  
Algebraic Equations ◽  
Image Position

Differential algebraic equations (DAE) are special implicit ordinary differential equations (ODE)where the partial Jacobian f′y(y, x, t) is singular for all values of its arguments.

Numerical methods for a class of nonlinear integro-differential equations

CALCOLO ◽  
2012 ◽  
Vol 50 (1) ◽  
pp. 17-33 ◽  
Author(s):  
R. Glowinski ◽  
L. Shiau ◽  
M. Sheppard
Keyword(s):  
Numerical Methods ◽  
Differential Equations

Investigation of the Influence of Inertia Forces on the Adhesion of the Coating to the Outer Surface of Bodies of Revolution during Thermal Spraying

2021 ◽  
Vol 316 ◽  
pp. 726-731
Author(s):  
Alexey Yu. Rodichev ◽  
Roman N. Polyakov ◽  
Andrey V. Gorin
Keyword(s):  
Adhesion Strength ◽  
Outer Surface ◽  
External Surface ◽  
Thermal Spraying ◽  
Inertial Forces ◽  
Body Of Revolution ◽  
Mathematical Apparatus ◽  
Bodies Of Revolution ◽  
Steel Base ◽  
Inertia Forces

The article presents the results of a study of the influence of inertial forces on the adhesion of the coating to the external surface of a body of revolution during thermal spraying. A mathematical apparatus is proposed for calculating the inertia forces, acting on a particle of coating, applied to the outer surface of the bodies of revolution. As a result, dependencies have been revealed that allow predicting the adhesion strength of the coating with the steel base during thermal spraying.

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