scholarly journals Research on Simplified Calculation Method of Coupled Vibration of Vehicle-Bridge System

2021 ◽  
Vol 2021 ◽  
pp. 1-14
Author(s):  
Zenong Cheng ◽  
Nan Zhang ◽  
Qikai Sun ◽  
Zeguo Shen ◽  
Xiao Liu
Keyword(s):  
Moving Load ◽  
Interaction Model ◽  
Moving Mass ◽  
Vehicle Speed ◽  
Moving Loads ◽  
Mass Model ◽  
Coupling Vibration ◽  
Deviation Rate ◽  
The Stability ◽  
Bridge System

A modified moving loads’ model is proposed for the vehicle-bridge coupling vibration simulation. Taking the vehicle-bridge interaction model (VBI) as the reference, the accuracy and applicability of the three calculation models, namely, moving loads’ model, moving mass model, and spring-damper-mass model, are compared using the frequently-used railway simply-supported beam with a span of 32 meters as the research object. Influencing factors such as vehicle speed, mass ratio of vehicle and beam, and primary spring stiffness on the dynamic response of the vehicle-bridge system are discussed in detail. The results show that the moving load model has the best performance on the stability of the deviation rate, but its calculation results are smaller than the other two methods as well as the VBI. The values of the deviation rate for the moving mass model and the spring-damper-mass model are large, and the stability of those are insufficient in the range of 80%∼120% of the first resonance velocity. Except for that, the results of the two models are in good agreement with the VBI model. According to above analysis, a modified moving loads’ model with two amplification coefficients, namely, 1.10 for the range of 90%∼105% of the first resonance velocity and 1.05 for other velocities, are proposed, which has higher calculation efficiency and accuracy.

Study on Mid-Span Deflection of Beam Bridge under Moving Loads by the Recently Proposed Oscillator with Time-Dependent Stiffness

2011 ◽  
Vol 179-180 ◽  
pp. 1096-1101 ◽  
Author(s):  
Rui Lan Tian ◽  
Xin Wei Yang ◽  
Li Fang Ren
Keyword(s):  
Periodic Motion ◽  
Moving Load ◽  
Coupled System ◽  
Time Dependent ◽  
Vehicle Speed ◽  
Moving Loads ◽  
Sd Oscillator ◽  
Stiffness Model ◽  
Pass Through ◽  
Beam Bridge

The smooth-and-discontinue(SD) oscillator with time-dependent stiffness was put forward and founded to study dynamic characteristics of beam bridge under moving load. Mid-span deflection of beam bridge under moving load was described as vibration trace. Proper stiffness model function was elected and study nonlinear dynamic behaviors of mid-span deflection when several vehicles pass through bridge successively. The software MATLAB was used to simulate the model and obtain the bifurcation diagrams with parameter of vehicle speed and Poincare sections of the vehicle-bridge coupled system. The result shows the complicated nonlinear dynamics with periodic motion, quasi-periodic motion phenomena and chaos, the occurrence alternatively among these motions.

Nonlinear Vibration Characteristics of Flexible Suspension Bridge under Moving Load

2011 ◽  
Vol 179-180 ◽  
pp. 1025-1030 ◽  
Author(s):  
Rui Lan Tian ◽  
Xin Wei Yang
Keyword(s):  
Nonlinear Dynamics ◽  
Periodic Motion ◽  
Moving Load ◽  
Suspension Bridge ◽  
Time Dependent ◽  
System Model ◽  
Shape Deformation ◽  
Vehicle Speed ◽  
Moving Loads ◽  
Sd Oscillator

The system model of flexible suspension bridge under several moving loads was founded according to SD oscillator with time –dependent stiffness. The model was simulated by the software MATLAB and the nonlinear dynamic behaviors of the system with different velocities were analyzed. Bifurcation diagram of the system is obtained with the changing of vehicle speed; meanwhile the phase trajectories and the Poincaré sections are also presented. The result shows the complicated nonlinear dynamics with periodic motion, quasi-periodic phenomena and chaos, the occurrence alternatively among these quasi-period and chaos, which reveals the reason that causes the S-shape deformation of flexible suspension bridge under moving load easily.

scholarly journals Dynamic Behavior of Tied-Arch Bridges under the Action of Moving Loads

2016 ◽  
Vol 2016 ◽  
pp. 1-17 ◽  
Author(s):  
Paolo Lonetti ◽  
Arturo Pascuzzo ◽  
Alessandro Davanzo
Keyword(s):  
Dynamic Behavior ◽  
Structural Characteristics ◽  
Moving Load ◽  
Sensitivity Analyses ◽  
Impact Factors ◽  
Moving Loads ◽  
Centripetal Acceleration ◽  
Design Variables ◽  
Dynamic Amplification ◽  
Arch Bridges

The dynamic behavior of tied-arch bridges under the action of moving load is investigated. The main aim of the paper is to quantify, numerically, dynamic amplification factors of typical kinematic and stress design variables by means of a parametric study developed in terms of the structural characteristics of the bridge and moving loads. The basic formulation is developed by using a finite element approach, in which refined schematization is adopted to analyze the interaction between the bridge structure and moving loads. Moreover, in order to evaluate, numerically, the influence of coupling effects between bridge deformations and moving loads, the analysis focuses attention on usually neglected nonstandard terms in the inertial forces concerning both centripetal acceleration and Coriolis acceleration. Sensitivity analyses are proposed in terms of dynamic impact factors, in which the effects produced by the external mass of the moving system on the dynamic bridge behavior are evaluated.

scholarly journals A model of nonlinear DNA-protein interaction system with Cornell potential and its stability

2017 ◽  
Vol 1 (1) ◽  
pp. 62
Author(s):  
Edy Syahroni ◽  
A Suparmi ◽  
C Cari ◽  
Fuad Anwar
Keyword(s):  
Protein Interaction ◽  
Interaction Model ◽  
The State ◽  
Hamiltonian Equation ◽  
Single Chain ◽  
Cornell Potential ◽  
Interaction System ◽  
Dna Protein Interaction ◽  
Dna Chain ◽  
The Stability

<p class="Abstract">The purpose of this study was to determine the model of a interaction system between the DNA with protein. The interaction system consisted of a molecule of protein bound with a single chain of DNA. The interaction between DNA chain, especially adenine and thymine, and DNA-protein bound to glutamine and adenine. The forms of these bonds are adapted from the hydrogen bonds. The Cornell potential was used to describe both of the interactions. We proposed the Hamiltonian equation to describe the general model of interaction. Interaction system is divided into three parts. The interaction model is satisfied when a protein molecule triggers pulses on a DNA chain. An initial shift in position of protein xm should trigger the shift in position of DNA ym, or alter the state. However, an initial shift in DNA, yn, should not alter the state of a rest protein (i.e. xm = 0), otherwise, the protein would not steadily bind. We also investigated the stability of the model from the DNA-protein interaction with Lyapunov function. The stability of system can be determined when we obtained the equilibrium point.</p>

The Effect of Centrifugal Force and Coriolis Force on Vehicle-Flexible Bridge Vertical Vibration

2012 ◽  
Vol 455-456 ◽  
pp. 1480-1485
Author(s):  
Xiang Xiao ◽  
Wei Xin Ren ◽  
Wen Yu He
Keyword(s):  
Centrifugal Force ◽  
Coriolis Force ◽  
Mass Matrix ◽  
Interaction Model ◽  
Vertical Motion ◽  
Vertical Vibration ◽  
Time Deformation ◽  
Damping Matrix ◽  
Load Vector ◽  
Bridge System

Considering centrifugal force and Coriolis force caused by the real-time deformation of bridge, a vehicle-bridge interaction model is established. Take simply supported bridge subjected to an one-axle vehicle for example, the mass matrix, damping matrix, stiffness matrix and load vector of the vehicle-bridge system are derived via modal analysis method, thus the vertical motion equation of vehicle-bridge system, which can better reflect the operation characteristics of vehicles running on the bridge, has been established.

Linear Dynamics of an Elastic Beam Under Moving Loads

2000 ◽  
Vol 122 (3) ◽  
pp. 281-289 ◽  
Author(s):  
G. Visweswara Rao
Keyword(s):  
Internal Resonance ◽  
Multiple Scales ◽  
Moving Load ◽  
Mass Parameter ◽  
Equations Of Motion ◽  
Elastic Beam ◽  
Mass Effect ◽  
Moving Loads ◽  
Parameter Ratio ◽  
Load Mass

The dynamic response of an Euler-Bernoulli beam under moving loads is studied by mode superposition. The inertial effects of the moving load are included in the analysis. The time-dependent equations of motion in modal space are solved by the method of multiple scales. Instability regions of parametric resonance are identified and the moving mass effect is shown to significantly affect the transient response of the beam. Importance of modal interaction arising out of the possible internal resonance is highlighted. While the external resonance is due to the gravity effects of the moving load, the parametric and internal resonance solely depends on the load mass parameter—ratio of the moving load mass to the beam mass. Numerical results show the influence of the load inertia terms on the beam response under either a single moving load or a series of moving loads. [S0739-3717(00)01703-7]

A Study of Noise Impact on the Stability of Electrostatic MEMS

2020 ◽  
Vol 15 (11) ◽  
Author(s):  
Yan Qiao ◽  
Wei Xu ◽  
Hongxia Zhang ◽  
Qin Guo ◽  
Eihab Abdel-Rahman
Keyword(s):  
Noise Intensity ◽  
Initial Conditions ◽  
Basins Of Attraction ◽  
Low Noise ◽  
Intensity Level ◽  
Lumped Mass ◽  
Mass Model ◽  
Restoring Force ◽  
Electrostatic Mems ◽  
The Stability

Abstract Noise-induced motions are a significant source of uncertainty in the response of micro-electromechanical systems (MEMS). This is particularly the case for electrostatic MEMS where electrical and mechanical sources contribute to noise and can result in sudden and drastic loss of stability. This paper investigates the effects of noise processes on the stability of electrostatic MEMS via a lumped-mass model that accounts for uncertainty in mass, mechanical restoring force, bias voltage, and AC voltage amplitude. We evaluated the stationary probability density function (PDF) of the resonator response and its basins of attraction in the presence noise and compared them to that those obtained under deterministic excitations only. We found that the presence of noise was most significant in the vicinity of resonance. Even low noise intensity levels caused stochastic jumps between co-existing orbits away from bifurcation points. Moderate noise intensity levels were found to destroy the basins of attraction of the larger orbits. Higher noise intensity levels were found to destroy the basins of attraction of smaller orbits, dominate the dynamic response, and occasionally lead to pull-in. The probabilities of pull-in of the resonator under different noise intensity level are calculated, which are sensitive to the initial conditions.

On Equivalence of the Moving Mass and Moving Oscillator Problems

2001 ◽  
Author(s):  
Alexander V. Pesterev ◽  
Lawrence A. Bergman ◽  
Chin An Tan ◽  
T.-C. Tsao ◽  
Bingen Yang
Keyword(s):  
High Frequency ◽  
Initial Conditions ◽  
High Frequency Component ◽  
Strict Sense ◽  
Moving Mass ◽  
Spring Stiffness ◽  
Mass Model ◽  
Simply Supported Beam ◽  
Simply Supported ◽  
Moving Oscillator

Abstract Asymptotic behavior of the solution of the moving oscillator problem is examined for large values of the spring stiffness for the general case of nonzero beam initial conditions. In the limit of infinite spring stiffness, the moving oscillator problem for a simply supported beam is shown to be not equivalent in a strict sense to the moving mass problem; i.e., beam displacements obtained by solving the two problems are the same, but the higher-order derivatives of the two solutions are different. In the general case, the force acting on the beam from the oscillator is shown to contain a high-frequency component, which does not vanish, or even grows, when the spring coefficient tends to infinity. The magnitude of this force and its dependence on the oscillator parameters can be estimated by considering the asymptotics of the solution for the initial stage of the oscillator motion. For the case of a simply supported beam, the magnitude of the high-frequency force linearly depends on the oscillator eigenfrequency and velocity. The deficiency of the moving mass model is noted in that it fails to predict stresses in the bridge structure. Results of numerical experiments are presented.

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