Application of Mechanical Equivalent Circuits to Vibration Problems

Noise Control ◽  
1961 ◽  
Vol 7 (6) ◽  
pp. 24-35 ◽  
Author(s):  
Elmer L. Hixson
Keyword(s):  
Equivalent Circuits ◽  
Mechanical Equivalent ◽  
Vibration Problems

Wavelength Analysis Using Equivalent Circuits in a Fast and Slow Wave Waffle-Iron Ridge Guide

2017 ◽  
Vol E100.B (2) ◽  
pp. 219-226 ◽  
Author(s):  
Hideki KIRINO ◽  
Kazuhiro HONDA ◽  
Kun LI ◽  
Koichi OGAWA
Keyword(s):  
Slow Wave ◽  
Equivalent Circuits ◽  
Ridge Guide

Equivalent Circuits of the 27.5 kV Electric Railway External Power Supply System

2020 ◽  
Vol 8 (8) ◽  
pp. 29-36
Author(s):  
Yeugene P. FIGURNOV ◽  
◽  
Yury I. ZHARKOV ◽  
Nataliya A. POPOVA ◽  
◽  
...  
Keyword(s):  
Power Supply ◽  
Power Supply System ◽  
Supply System ◽  
Equivalent Circuits ◽  
External Power ◽  
Electric Railway ◽  
External Power Supply

MODELING OF NONLINEAR VIBRATION PROBLEMS WITH FLUID FLOWS THROUGH PIPELINES

2018 ◽  
pp. 44-47
Author(s):  
F.J. Тurayev
Keyword(s):  
Differential Equations ◽  
Nonlinear Vibration ◽  
Viscoelastic Properties ◽  
Construction Material ◽  
Fluid Flows ◽  
Variable Coefficients ◽  
Algebraic Equations ◽  
Flowing Liquid ◽  
Vibration Problems

In this paper, mathematical model of nonlinear vibration problems with fluid flows through pipelines have been developed. Using the Bubnov–Galerkin method for the boundary conditions, the resulting nonlinear integro-differential equations with partial derivatives are reduced to solving systems of nonlinear ordinary integro-differential equations with both constant and variable coefficients as functions of time.A system of algebraic equations is obtained according to numerical method for the unknowns. The influence of the singularity of heredity kernels on the vibrations of structures possessing viscoelastic properties is numerically investigated.It was found that the determination of the effect of viscoelastic properties of the construction material on vibrations of the pipeline with a flowing liquid requires applying weakly singular hereditary kernels with an Abel type singularity.

High-frequency equivalent circuits of junction-gate field-effect transistors

1970 ◽  
Vol 6 (18) ◽  
pp. 590
Author(s):  
P.U. Calzolari ◽  
S. Graffi ◽  
A. Mazzone
Keyword(s):  
High Frequency ◽  
Field Effect ◽  
Field Effect Transistors ◽  
Equivalent Circuits

scholarly journals Toward a More Accurate Understanding of Impedance Behaviors of Randles-type Equivalent Circuits

2018 ◽  
Vol 64 (2) ◽  
pp. 91-96
Author(s):  
Zyun Siroma ◽  
Susumu Kuwabata
Keyword(s):  
Equivalent Circuits

scholarly journals Effect of Thrust on the Structural Vibrations of a Nonuniform Slender Rocket

2020 ◽  
Vol 25 (2) ◽  
pp. 29
Author(s):  
Desmond Adair ◽  
Aigul Nagimova ◽  
Martin Jaeger
Keyword(s):  
Natural Frequencies ◽  
Equations Of Motion ◽  
Approximate Solutions ◽  
Mode Shapes ◽  
Algebraic Equations ◽  
Structural Vibrations ◽  
Unknown Parameters ◽  
One Dimensional ◽  
Vibration Problems ◽  
Nonuniform Beam

The vibration characteristics of a nonuniform, flexible and free-flying slender rocket experiencing constant thrust is investigated. The rocket is idealized as a classic nonuniform beam with a constant one-dimensional follower force and with free-free boundary conditions. The equations of motion are derived by applying the extended Hamilton’s principle for non-conservative systems. Natural frequencies and associated mode shapes of the rocket are determined using the relatively efficient and accurate Adomian modified decomposition method (AMDM) with the solutions obtained by solving a set of algebraic equations with only three unknown parameters. The method can easily be extended to obtain approximate solutions to vibration problems for any type of nonuniform beam.

Roller–rail parameters on the transverse vibration characteristics of super-high-speed elevators

2019 ◽  
Vol 43 (4) ◽  
pp. 535-543 ◽  
Author(s):  
Shunxin Cao ◽  
Ruijun Zhang ◽  
Shuohua Zhang ◽  
Shuai Qiao ◽  
Dongsheng Cong ◽  
...  
Keyword(s):  
High Speed ◽  
Relative Displacement ◽  
Guide Rail ◽  
Coupled Vibration ◽  
Vibration Acceleration ◽  
Vibration Model ◽  
Vibration Problems ◽  
Equivalent Method ◽  
Relationship Of ◽  
The Relationship

Interaction and wear between wheel and rail become increasingly serious with the increase in elevator speed and load. Uneven roller surface, eccentricity of rollers, and the looseness of rail brackets result in serious vibration problems of high-speed and super-high-speed elevators. Therefore, the forced vibration differential equation representing elevator guide rails is established based on Bernoulli–Euler theory, and the vibration equation of the elevator guide shoes and the car is constructed using the Darren Bell principle. Then, the coupled vibration model of guide rail, guide shoes, and car can be obtained using the relationship of force and relative displacement among these components. The roller–rail parameters are introduced into the established coupled vibration model using the model equivalent method. Then, the influence of roller–rail parameters on the horizontal vibration of super-high-speed elevator cars is investigated. Roller eccentricity and the vibration acceleration of the car present a linear correlation, with the amplitude of the car vibration acceleration increasing with the eccentricity of the roller. A nonlinear relationship exists between the surface roughness of the roller and the vibration acceleration of the car. Increased continuous loosening of the guide rail results in severe vibration of the car at the loose position of the support.

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