scholarly journals Theoretical and Numerical Analysis of 1 : 1 Main Parametric Resonance of Stayed Cable Considering Cable-Beam Coupling

2017 ◽  
Vol 2017 ◽  
pp. 1-10 ◽  
Author(s):  
Li-Na Zhang ◽  
Feng-Chen Li ◽  
Xiao-Yong Wang ◽  
Peng-Fei Cui
Keyword(s):  
Parametric Resonance ◽  
Simulation Analysis ◽  
Resonance Condition ◽  
Excitation Amplitude ◽  
Initial Displacement ◽  
Approximation Solution ◽  
Coupling Vibration ◽  
Coupling System ◽  
Beam Coupling ◽  
Parametric Resonances

For the 1 : 1 main parametric resonances problems of cable-bridge coupling vibration, a main parametric resonances model considering cable-beam coupling is developed and dimensionless parametric resonances differential equations are derived. The main parametric resonances characteristics are discussed by means of multiscale approximation solution methods. Using an actual cable of cable-stayed bridge project for research object, numerical simulation analysis under a variety of conditions is illustrated. The results show that when the coupling system causes 1 : 1 parametric resonance, nonlinear main parametric resonances in response are unrelated to initial displacement of the cable, but with the increase of deck beam end vertical initial displacement increases, accompanied with a considerable “beat” vibration. When the vertical initial displacement of deck beam end is 10−6 m order of magnitude or even smaller, “beat” vibration phenomenon of cable and beam appears. Displacement amplitude of the cable is small and considerable amplitude vibration may not occur at this time, only making a slight stable “beat” vibration in the vicinity of the equilibrium position, which is different from 2 : 1 parametric resonance condition of cable-bridge coupling system. Therefore, it is necessary to limit the initial displacement excitation amplitude of beam end and prevent the occurrence of amplitude main parametric excitation resonances.

Study on Vertical-Horizontal Coupling Vibration of Mill Rolls Based on the Nonlinear Rolling Force Model

2013 ◽  
Vol 385-386 ◽  
pp. 101-104
Author(s):  
Dong Xiao Hou ◽  
Rong Rong Peng ◽  
Hao Ran Liu ◽  
Ye Chi Wang
Keyword(s):  
Rolling Mill ◽  
Rolling Force ◽  
Multiple Scale ◽  
Force Model ◽  
Approximation Solution ◽  
Coupling Vibration ◽  
Scale Method ◽  
Coupling System ◽  
Nonlinear Rolling ◽  
Unit Pressure

Based on the Orowan unit pressure differential equation, a vertical-horizontal dynamic rolling force model of workpiece was studied. Then, considering the influence of the rolling mill structure, the vertical-horizontal coupling vibration dynamic model of mill rollers was estabilished. The parse approximation solution of coupling system were carried out by using multiple-scale method, and the equations of amplitude frequency were obtained. Finally, the computer simulation analzed the characteristics of the system in different parameters, which can supply theoretical bases for suppressing vibration of rolling mill.

scholarly journals Modeling and Parameter Optimization of Dynamic Characteristic Variables of Ballast Bed during Operation for Dynamic Track Stabilizer

Complexity ◽  
2021 ◽  
Vol 2021 ◽  
pp. 1-11
Author(s):  
Bo Yan ◽  
Jingjing Yang
Keyword(s):  
Dynamic Characteristics ◽  
Simulation Analysis ◽  
Traffic Density ◽  
Operating Parameters ◽  
Simulation Accuracy ◽  
Railway Line ◽  
Coupling System ◽  
Track System ◽  
Parameterized Model ◽  
Railway Maintenance

The high traffic density of railway line causes ballasted track to be extremely busy, and thus it is particularly important to improve the efficiency during railway maintenance. The changing law of dynamic characteristics of ballast bed during operation for the dynamic track stabilizer is conducive to optimize simulation analysis of the vehicle-track system, so as to provide an optimized choice of operating parameters for promoting the pertinence and efficiency of dynamic track stabilizer. This paper presents the acceleration response of vehicle-track-subgrade system during operation of a WD-320 dynamic track stabilizer and proposes the range of effective operating parameters. Then, the influence of operating parameters on the dynamic characteristics of the ballast bed is discussed for searching the optimal operating parameters under the single factor influence. Finally, the change laws including the support stiffness, damping, lateral resistance, and subsidence for the ballast bed are studied, and a parameterized model for dynamic characteristics of the ballast bed which can optimize the selection for operating parameters is constructed, rendering an effective reference variable for improving the simulation accuracy of the vehicle-track coupling system.

Analysis of Parametric Resonances in In-Plane Vibrations of Electrostrictive Hyperelastic Plates

2018 ◽  
Vol 13 (9) ◽  
Author(s):  
Astitva Tripathi ◽  
Anil K. Bajaj
Keyword(s):  
Electric Field ◽  
Parametric Resonance ◽  
Mechanical Response ◽  
Element Model ◽  
Mode Shapes ◽  
Principal Parametric Resonance ◽  
Parametric Resonances ◽  
Second Mode ◽  
Electrostrictive Polymer ◽  
Large Amplitude Vibrations

Electrostriction is a recent actuation mechanism which is being explored for a variety of new micro- and millimeter scale devices along with macroscale applications such as artificial muscles. The general characteristics of these materials and the nature of actuation lend itself to possible production of very rich nonlinear dynamic behavior. In this work, principal parametric resonance of the second mode in in-plane vibrations of appropriately designed electrostrictive plates is investigated. The plates are made of an electrostrictive polymer whose mechanical response can be approximated by Mooney Rivlin model, and the induced strain is assumed to have quadratic dependence on the applied electric field. A finite element model (FEM) formulation is used to develop mode shapes of the linearized structure whose lowest two natural frequencies are designed to be close to be in 1:2 ratio. Using these two structural modes and the complete Lagrangian, a nonlinear two-mode model of the electrostrictive plate structure is developed. Application of a harmonic electric field results in in-plane parametric oscillations. The nonlinear response of the structure is studied using averaging on the two-mode model. The structure exhibits 1:2 internal resonance and large amplitude vibrations through the route of parametric excitation. The principal parametric resonance of the second mode is investigated in detail, and the time response of the averaged system is also computed at few frequencies to demonstrate stability of branches. Some results for the case of principal parametric resonance of the first mode are also presented.

Nonlinear Parametric Resonances in a Stay of the Iroise Cable-Stayed Bridge: Analytical Model and Experiments

2007 ◽  
Author(s):  
Olivier Boujard ◽  
Ste´phane Pernot ◽  
Alain Berlioz ◽  
Claude Lamarque
Keyword(s):  
Spectral Analysis ◽  
Analytical Model ◽  
Parametric Resonance ◽  
Resonance Mechanism ◽  
The Third ◽  
Cable Stayed Bridge ◽  
Parametric Resonances ◽  
Traffic Environment ◽  
Cable Stays ◽  
Bending Modes

Recent experimental campaigns led on the Iroise cable stayed bridge near Brest, France, revealed repeated vibratory events in some cable stays likely to provoke durability problems. A spectral analysis emphasized two regimes in which either the fundamental or the third cable mode were excited. Yet, wavelet scalograms of tests allowed to exhibit a global pylon mode excited by traffic environment through deck-cable-tower interaction and which again excites local cable modes by means of a nonlinear parametric resonance mechanism with vertical bending modes of the girder. Preliminary results are introduced as an attempt to explain such a scenario.

The Simulation Analysis and Modeling of the Coupling Vibration Absorber System for the Wheel Loader

2011 ◽  
Vol 121-126 ◽  
pp. 2358-2362 ◽  
Author(s):  
Zhun Wang
Keyword(s):  
Control System ◽  
Research And Development ◽  
Dynamic Models ◽  
Simulation Analysis ◽  
Vibration Reduction ◽  
Simulation Software ◽  
Vibration Absorber ◽  
Coupling Vibration ◽  
Matlab Simulink ◽  
Wheel Loader

In accordance with the Coupling vibration absorber system, introduced to reduce the vibration of the wheel loader at driving, designed are two dynamic models for the loaders either with the application of vibration absorber system or without that of it. The simulation analysis of the vibration reduction, with the help of the simulation software Matlab/ Simulink, shows that the vibration absorber system may reduce not only the vehicle vibration effectively but also that of the work device, thus providing the basis for the further research and development of the riding control system.

Parametric and Combination Resonances of a Pipe Conveying Pulsating Fluid

1975 ◽  
Vol 42 (4) ◽  
pp. 780-784 ◽  
Author(s):  
M. P. Paidoussis ◽  
C. Sundararajan
Keyword(s):  
Flow Velocity ◽  
Parametric Resonance ◽  
Mean Value ◽  
Pipe Conveying Fluid ◽  
Combination Resonance ◽  
Load Combination ◽  
Parametric Resonances ◽  
The Difference ◽  
Pulsating Fluid ◽  
Conveying Fluid

In this paper we consider the dynamics of a pipe conveying fluid, when the flow velocity is harmonically perturbed about a mean value. Two methods of analysis are presented; Bolotin’s method, which can only give the boundaries of regions of parametric resonance, and a numerical Floquet analysis, which gives also the boundaries of combination resonance. A number of calculations for cantilevered pipes show that, generally, combination resonance is less important than parametric resonance, except for flow velocities near the critical (where the system loses stability in steady flow); parametric resonances are selectively associated with only some of the modes of the system, and combination resonances involve only the difference of the eigenfrequencies. For pipes clamped at both ends the behavior of the system is similar to that of a column subjected to a pulsating load; combination resonances in this case involve the sum of the eigenfrequencies.

Dynamics Simulation Analysis of Centrifuge Facility-Vibration Shaker System Virtual Mocking Based on Flexible Centrifuge Arm

2013 ◽  
Vol 427-429 ◽  
pp. 266-270
Author(s):  
Yue Gang Wang ◽  
Zhao Yang Zuo ◽  
Jian Guo Wu ◽  
Hai Bo Li
Keyword(s):  
Dynamic Model ◽  
Simulation Analysis ◽  
Dynamics Simulation ◽  
Ansys Software ◽  
Dynamical Simulation ◽  
Coupling System ◽  
Adams Software ◽  
Multi Body ◽  
Vibration Shaker ◽  
Body Dynamic

In order to study the dynamic characteristics of centrifuge facility-vibration shaker system, In the establishment of centrifuge facility-vibration shaker system multi-body dynamic model based on virtual mocking technology, the virtual dynamic model of the entire centrifuge facility-vibration shaker system more close to reality is built up by the transmission of finite element of flexible centrifuge arm. This paper describes how to build the 3-D virtual prototype of centrifuge facility-vibration shaker system by using Pro/e and ADAMS software, and how to create the modal neutral file of the centrifuge arm by using ANSYS software. Considering the system as a rigid-flexible coupling system, the dynamical simulation is carried out, and the results are benefit for the further research of its kinetic behavior, dynamic and variable characteristics basis and the design of such system.

scholarly journals The Numerical Analysis for Parametric Resonance of Multicable System considering Interaction between Adjacent Beam Portions

2021 ◽  
Vol 2021 ◽  
pp. 1-19
Author(s):  
Kefan Chen ◽  
Shuanhai He ◽  
Yifan Song ◽  
Linming Wu ◽  
Kang Wang ◽  
...  
Keyword(s):  
Numerical Analysis ◽  
Parametric Resonance ◽  
Resonance Condition ◽  
Simulation Methods ◽  
Refined Model ◽  
Resonance Amplitude ◽  
Comparison Results ◽  
The Difference ◽  
Support Excitation ◽  
Cable Stayed Bridges

The investigation aims to propose a refined model to analyze the parametric resonance under multicable systems such as cable-stayed bridges. Considering the interaction between the adjacent beam portions, the shear difference is applied to modify the vibration equations derived from the multi-degree-of-freedom stiffness method. Furthermore, the difference method is adopted to make the equations more accessible for numerical analysis. The comparison results indicate that the refined model exhibits the key character of parametric resonance and also further verified the simulation methods. The consequences show that the cable will resonate at the fundamental frequency under the support excitation. In particular, when resonance occurs, most of the energy in the subsystem is transferred to the cable, resulting in the resonance amplitude of the beam portion being weakened to some certain extent. Moreover, the global resonance will have a sufficient excitation on the local resonance only when the resonance condition is satisfied.

scholarly journals Harmonic Overvoltage Analysis of Electric Railways in a Wide Frequency Range Based on Relative Frequency Relationships of the Vehicle–Grid Coupling System

Energies ◽  
2020 ◽  
Vol 13 (24) ◽  
pp. 6672
Author(s):  
Qiujiang Liu ◽  
Binghan Sun ◽  
Qinyao Yang ◽  
Mingli Wu ◽  
Tingting He
Keyword(s):  
Resonant Frequency ◽  
Simulation Analysis ◽  
Field Tests ◽  
Sampling Frequency ◽  
Wide Frequency Range ◽  
Switching Frequency ◽  
Stable Operation ◽  
Frequency Range ◽  
Traction Network ◽  
Coupling System

Harmonic overvoltage in electric railway traction networks can pose a serious threat to the safe and stable operation of the traction power supply system (TPSS). Existing studies aim at improving the control damping of grid-connected converters, neglecting the impedance frequency characteristics (IFCs) of the actual TPSS. The applicable frequency range of these studies is relatively low, usually no more than half of the switching frequency, and there is a large gap with the actual traction network harmonic overvoltage frequency range of 750 Hz–3750 Hz. In this paper, first, the IFCs of the actual TPSS in the wide frequency range of 150 Hz–5000 Hz are obtained through field tests, and the resonant frequency distribution characteristics of TPSS are analyzed. After that, the aliasing effect of the sampling process and the sideband effect of the modulation process of the digital control of the grid-connected converter are considered. Based on the relative relationships among the inherent resonant frequency of the TPSS, sampling frequency and switching frequency, an impedance matching analysis method is proposed for the wide frequency range of the vehicle–grid coupling system. By this method, the sampling frequency and switching frequency can be decoupled, and the harmonic overvoltage of traction network in the frequency range of two times switching frequency and above can be directly estimated. Finally, the method proposed in this paper is validated by the comparative simulation analysis of seven different cases.

Dynamic Stability of Lateral Vibration of Bottom Hole Assemblies

2008 ◽  
Vol 385-387 ◽  
pp. 809-812 ◽  
Author(s):  
Guang Hui Zhao ◽  
Zheng Liang
Keyword(s):  
Parametric Resonance ◽  
Separation Of Variables ◽  
Mathieu Equation ◽  
Parameter Method ◽  
Lateral Vibration ◽  
Oil Drilling ◽  
Bottom Hole ◽  
Parametric Resonances ◽  
Air Drilling ◽  
Weight On Bit

Bottom hole assemblies (BHA) of oil drilling engineering were simplified as simply supported beam, and parametric resonances of BHA in mud drilling and air drilling were studied. Lateral vibration of BHA, which was induced by bit/formation interaction, was described and reduced into Mathieu equation by means of separation of variables and Galerkin method. Modified strained parameter method was adopted in stability analysis. The parametric resonance zones expressed by weight on bit (WOB) are presented here. It is found that drilling method, speed of rotation (SOR), material properties, and length of compression drillstring all can influence parametric resonance zones. So unstable responses can be avoided by adjusting these parameters.

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