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
1952 ◽  
Vol 19 (2) ◽  
pp. 205-208
Author(s):  
G. W. Housner

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.


1950 ◽  
Vol 17 (3) ◽  
pp. 229-232
Author(s):  
Holt Ashley ◽  
George Haviland

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.


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

2021 ◽  
Vol 27 (S1) ◽  
pp. 1554-1555
Author(s):  
Chen Gu ◽  
Nabil Bassim ◽  
Hatem Zurob

2021 ◽  
Author(s):  
Jiang Zou ◽  
Miao Feng ◽  
Ningyuan Ding ◽  
Peinan Yan ◽  
Haipeng Xu ◽  
...  

Abstract Although the advances in artificial muscles enable creating soft robots with biological dexterity and self-adaption in unstructured environments, producing scalable artificial muscles with multiple-mode actuations is still elusive. Inspired by muscle-fiber arrays in muscular hydrostats, we present a class of versatile artificial muscles, called MAIPAMs (Muscle-fiber Array Inspired Pneumatic Artificial Muscles), capable of multiple-mode actuations (such as parallel elongation-bending-spiraling actuations, parallel 10 bending actuations, and cascaded elongation-bending-spiraling actuations). Our MAIPAMs mainly consist of active 3D elastomer-balloon arrays reinforced by a passive elastomer membrane, which is achieved through a planar design and one-step rolling fabrication approach. We introduce the prototypical designs of MAIPAMs and demonstrate their muscle-mimic structures and versatility, as well as their scalable ability to integrate flexible while un-stretchable layers for contraction and twisting actuations and compliant electrodes for self-sensing. We further demonstrate that this class of artificial muscles shows promising potentials for versatile robotic applications, such as carrying a camera for recording videos, gripping and manipulating objects, and climbing a pipe-line.


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