scholarly journals On one problem, associated with lateral oscillations of elastic-viscous-relaxating rod

2021 ◽  
pp. 141
Author(s):  
D.I. Rogach
Keyword(s):  
Finite Length ◽  
Length Variable ◽  
Oscillation Plane ◽  
Rod Of Finite Length

We obtain the solution of the problem about lateral oscillations of elastic-viscous-relaxating rod of finite length, variable profile, and variable momentum of rotation inertia of rod elements about the axis that is perpendicular to oscillation plane.

Transient Heat Conduction in a Rod of Finite Length With Variable Thermal Properties

1960 ◽  
Vol 27 (4) ◽  
pp. 617-622 ◽  
Author(s):  
W. H. Chu ◽  
H. N. Abramson
Keyword(s):  
Thermal Properties ◽  
Heat Conduction ◽  
Finite Length ◽  
Thermophysical Properties ◽  
Numerical Procedure ◽  
Transient Heat Conduction ◽  
Theoretical Solution ◽  
Rod Of Finite Length

This paper presents a theoretical solution for transient heat conduction in a rod of finite length with variable thermal properties. A numerical procedure is developed and the results of one example are presented and compared with the corresponding solution for the case of constant properties. Application to the problem of determination of thermophysical properties is discussed briefly.

scholarly journals The electric or magnetic polarisation of a thin cylinder of finite length by a uniform field of force

1907 ◽  
Vol 79 (527) ◽  
pp. 31-42
Keyword(s):  
Finite Length ◽  
General Problem ◽  
Normal Component ◽  
Uniform Field ◽  
Electric Force ◽  
Central Section ◽  
Thin Cylinder ◽  
Method Of Solution ◽  
The Mean ◽  
Rod Of Finite Length

The problem to be considered is the calculation of the polarisation induced in a cylindrical rod of finite length by a uniform field of force parallel to its axis. The only formula previously given appears to be that of Green for the normal component of the polarity at the surface of the rod. In the following investigation the method of solution of the general problem of induction by series is used, and expressions are given in §§ 4 and 5 for the mean moment of the rod and the induction across the central section. It is assumed that the susceptibility of the rod is independent of the applied force; consequently the formulæ apply especially to a dielectric rod suspended in a uniform field of electric force, this being, in fact, the purpose for which the calculations were made.

scholarly journals On solution of initial-boundary problem, connected with longitudinal impact of elastic-viscous rod

1987 ◽  
pp. 112
Author(s):  
S.S. Kritskaia ◽  
D.I. Rogach
Keyword(s):  
Linear Equation ◽  
Boundary Problem ◽  
Finite Length ◽  
Fourier Method ◽  
Initial Boundary ◽  
Longitudinal Impact ◽  
Initial Boundary Problem ◽  
Rod Of Finite Length

We conduct the solution, by Fourier method, of the problem about longitudinal oscillations caused by impact to one end of elastic-viscous rod of finite length with variable lateral section in the case when the condition of fixation of another end of the rod is represented by linear equation in displacement and deformation.

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