Formulation of problems concerning resonant vibrations and dissipative heating of piezomagnetic ceramic bodies

1998 ◽  
Vol 34 (9) ◽  
pp. 809-814
Author(s):  
V. G. Karnaukhov ◽  
Yu. I. Lelyukh
Keyword(s):  
Dissipative Heating ◽  
Resonant Vibrations ◽  
Formulation Of Problems

Accounting Viscous Dissipation at Round Tubes Filling

2016 ◽  
Vol 685 ◽  
pp. 191-194
Author(s):  
E.I. Borzenko ◽  
O.Yu. Frolov ◽  
G.R. Shrager
Keyword(s):  
Free Boundary ◽  
Boundary Conditions ◽  
Mechanical Energy ◽  
Equations Of Motion ◽  
Dissipative Heating ◽  
Mathematical Basis ◽  
One Dimensional ◽  
Parametric Studies ◽  
Initial And Boundary Conditions ◽  
Formulation Of Problems

The fountain nonisothermal flow of a viscous fluid realized during circular pipe filling is investigated. The mathematical basis of the process is formed by equations of motion, continuity and energy with respective initial and boundary conditions with due account of the temperature dependence of viscosity, the presence of a free boundary and dissipation of mechanical energy. To solve the problem numerically a finite difference method is required. Depending on the values defining the dimensionless parameters the results of parametric studies in temperature, viscosity, dynamic and kinematic characteristics of the flow are shown. Flow patterns for the formulation of problems with different initial and boundary conditions are given. The separation of flow into the zone of spatial flow in the vicinity of the free surface and one dimensional flow away from it, and changing the shape of the free boundary, depending on the level of dissipative heating are demonstrated.

Tire Vibrations

1977 ◽  
Vol 5 (4) ◽  
pp. 202-225 ◽  
Author(s):  
G. R. Potts ◽  
C. A. Bell ◽  
L. T. Charek ◽  
T. K. Roy
Keyword(s):  
Natural Frequencies ◽  
Standing Waves ◽  
Resonant Mode ◽  
Mode Shapes ◽  
Resonant Vibrations ◽  
Resonant Frequencies ◽  
Radial Tire ◽  
Analysis Techniques ◽  
Thin Ring ◽  
Good Agreement

Abstract Natural frequencies and vibrating motions are determined in terms of the material and geometric properties of a radial tire modeled as a thin ring on an elastic foundation. Experimental checks of resonant frequencies show good agreement. Forced vibration solutions obtained are shown to consist of a superposition of resonant vibrations, each rotating around the tire at a rate depending on the mode number and the tire rotational speed. Theoretical rolling speeds that are upper bounds at which standing waves occur are determined and checked experimentally. Digital Fourier transform, transfer function, and modal analysis techniques used to determine the resonant mode shapes of a radial tire reveal that antiresonances are the primary transmitters of vibration to the tire axle.

Nonlinear resonant vibrations of a rod made of material with oscillating inclusions

2021 ◽  
Author(s):  
Aleksandra Gawlik ◽  
Andrzej Klepka ◽  
Vsevolod Vladimirov ◽  
Sergii Skurativskyi
Keyword(s):  
Resonant Vibrations
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