scholarly journals Closure to “Discussions of ‘Bending Vibrations of a Pipe Line Containing Flowing Fluid’” (1951, ASME J. Appl. Mech., 18, p. 109)

1951 ◽  
Vol 18 (1) ◽  
pp. 109
Author(s):  
Holt Ashley ◽  
George Haviland
Keyword(s):  
Bending Vibrations ◽  
Flowing Fluid ◽  
Pipe Line

Bending Vibrations of a Pipe Line Containing Flowing Fluid

1952 ◽  
Vol 19 (2) ◽  
pp. 205-208
Author(s):  
G. W. Housner
Keyword(s):  
Dynamic Instability ◽  
Fluid Velocity ◽  
Normal Modes ◽  
Beam Theory ◽  
Free Vibrations ◽  
Bending Vibrations ◽  
Flowing Fluid ◽  
Fluid Velocities ◽  
Modes Of Vibration ◽  
Pipe Line

Abstract Both free vibrations and forced motions due to crosswinds may create important problems in the design of pipe lines supported above ground. An analytic investigation, based on simple beam theory, shows that the flow of fluid in such a pipe line has no beneficial effect upon the vibrations. The fluid velocity causes a dynamic coupling of the simple modes of vibration so that the normal modes of vibration are of complex shape with 90-deg out-of-phase components. The solution is presented for free vibrations and for steady-state forced vibrations, and it is shown that large amplitudes may be developed if the amount of damping is too small. It is shown that at low fluid velocities there is negligible effect upon the vibration of the pipe line, and at a certain high critical velocity the fluid flow causes a dynamic instability. The present analysis revises the conclusions which appeared in an earlier publication.

Bending Vibrations of a Pipe Line Containing Flowing Fluid

1950 ◽  
Vol 17 (3) ◽  
pp. 229-232
Author(s):  
Holt Ashley ◽  
George Haviland
Keyword(s):  
Beam Theory ◽  
Free Vibrations ◽  
Analytic Investigation ◽  
Bending Vibrations ◽  
Flowing Fluid ◽  
Flow Rates ◽  
Simply Supported ◽  
End Conditions ◽  
Pipe Line ◽  
Mass Flow Rates

Abstract Free vibrations and forced motions due to cross winds may both create important problems in the design of pipe lines supported above ground. An analytic investigation, based on simple beam theory, shows that the flow of fluid in such a pipe line produces marked damping tendencies and thus may reduce the severity of loading encountered. The time dependence of the fundamental mode of a simply supported pipe line is calculated for a number of mass-flow rates, the damping being observed to increase rapidly and the frequency to remain nearly constant over the practically important range. A method is outlined for studying forced vibration, higher modes, and other end conditions. Finally the problem is discussed in terms of traveling waves on an “infinite” unsupported pipe line.

Correction for housner's equation of bending vibration of a pipe line containing flowing fluid

1993 ◽  
Vol 14 (2) ◽  
pp. 159-161 ◽  
Author(s):  
Zhang Xi-de ◽  
Du Tao ◽  
Zhang Wen ◽  
Shen Wen-jun
Keyword(s):  
Bending Vibration ◽  
Flowing Fluid ◽  
Pipe Line

Specificity of calculation of pipe-line parameters for hydromechanization of washery refuse storage

2018 ◽  
pp. 118-129
Author(s):  
Ye.V. Semenenko ◽  
◽  
O.O. Medvedeva ◽  
S.M. Kyrychko ◽  
L.G. Tatarko ◽  
...  
Keyword(s):  
Pipe Line

CALCULATION-EXPERIMENTAL METHOD FOR DEFINITION OF LOWEST FREQUENCY IN BENDING VIBRATIONS OF COACH CAR BODY IN VERTICAL PLANE BASED ON IDENTIFICATION OF ITS BENDING STIFFNESS

2020 ◽  
Vol 2020 (9) ◽  
pp. 35-46
Author(s):  
Aleksandr Skachkov ◽  
Viktor Vasilevskiy ◽  
Aleksey Yuhnevskiy
Keyword(s):  
Least Squares Method ◽  
Vertical Plane ◽  
Bending Stiffness ◽  
Dimensional Problem ◽  
Euler Beam ◽  
Bending Vibrations ◽  
Car Body ◽  
Variable Function ◽  
Experimental Values ◽  
Definition Of

The consideration of existing methods for a modal analysis has shown a possibility for the lowest frequency definition of bending vibrations in a coach car body in a vertical plane based on an indirect method reduced to the assessment of the bending stiffness of the one-dimensional model as a Bernoulli-Euler beam with fragment-constant parameters. The assessment mentioned can be obtained by means of the comparison of model deflections (rated) and a prototype (measured experimentally upon a natural body) with the use of the least-squares method that results in the necessity of the solution of the multi-dimensional problem with the reverse coefficient. The introduction of the hypothesis on ratability of real bending stiffness of the prototype and easily calculated geometrical stiffness of a model reduces a multi-dimensional problem incorrect according to Adamar to the simplest search of the extremum of one variable function. The procedure offered for the indirect assessment of bending stiffness was checked through the solution of model problems. The values obtained are offered to use for the assessment of the lowest frequency of bending vibrations with the aid of Ritz and Grammel methods. In case of rigid poles it results in formulae for frequencies into which there are included directly the experimental values of deflections.

Algorithm for diagnosing fastenings of pipe with liquid

2007 ◽  
Vol 5 ◽  
pp. 96-100
Author(s):  
A.M. Akhtyamov ◽  
F.F. Safina
Keyword(s):  
Frequency Spectrum ◽  
Natural Frequencies ◽  
Algebraic Equations ◽  
Bending Vibrations ◽  
Narrow Tube

An algorithm is considered for diagnosing fastening of a narrow tube filled with a fluid by a spectrum of natural frequencies of its bending vibrations. The constructed algorithm, based on the solution of systems of algebraic equations, allows one to determine any pipe fastenings by 9 values from the frequency spectrum of its vibrations when the liquid is flowing through the pipe.

Bending vibrations of the domain boundaries in ferroelectrics and ferroelastics

1990 ◽  
Vol 111 (1) ◽  
pp. 133-146
Author(s):  
V. N. Nechaev ◽  
A. M. Roschupkin ◽  
V. V. Dezhin
Keyword(s):  
Bending Vibrations ◽  
Domain Boundaries
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