On Interactive Fuzzy Solutions for Mechanical Vibration Problems

Author(s):  
Daniel Eduardo Sánchez ◽  
Vinícius F. Wasques ◽  
Jorge P. Arenas ◽  
Estevão Esmi ◽  
Laécio Carvalho de Barros
1947 ◽  
Vol 14 (2) ◽  
pp. A127-A134
Author(s):  
G. D. McCann ◽  
J. M. Kopper

Abstract This paper presents the results of a general study that has been made of a linear system having 2 deg of freedom. This is representative for many mechanical vibration problems as well as for problems of other physical systems. The system is described specifically in terms of the mechanical parameters of translational motion and consists of one mass, spring, dashpot system mounted on another. Three types of generalized solutions are given for the maximum motion of the first system relative to the second, or the maximum stress developed in the spring of the first system. One of these is for known sinusoidal forces applied to the second system, one is for the whole system striking a fixed base at a known velocity without rebound, and one is for such an impact and one rebound. The solutions were obtained on the mechanical transients analyzer which employs the principle of electric-circuit analogy. The solutions are given in dimensionless curve form for a wide range of all parameters.


2012 ◽  
Vol 468-471 ◽  
pp. 714-717 ◽  
Author(s):  
Yu Gao Liu

Asymptotic behavior is studied for solutions of neutral difference equations dealing with mechanical vibration problems and other related topics, and some theorems have been obtained.


Author(s):  
Ralph Dickau ◽  
Lal Perera

Variable frequency drives are now frequently used to power large horsepower pipeline pumps to eliminate power costs wasted by throttling, to reduce inrush current on motor start, and to provide greater operating flexibility. This variable speed operation, however, can cause vibration problems in the pump and motor bearings, and in the couplings that are not normally experienced with fixed speed pumps. Enbridge Pipe Line has installed a number of variable frequency drives on units ranging from 2500 to 5000 hp in size and discovered unexpected torsional and lateral resonance vibration in the equipment at certain operating speeds. This presentation discusses the tests that were conducted to determine the source of the vibration, the theoretical analysis of the vibration modes and equipment responses, and the solutions that were implemented to reduce or eliminate the vibration. Recommendations are given for design principles that could be incorporated into the initial pump station design in order to avoid vibration problems with variable speed operation.


Author(s):  
DANILO CESAR DE AZEVEDO MONTEIRO ◽  
Tatiane de Campos Chuvas ◽  
Maria Cindra Fonseca

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