scholarly journals Analysis of the Dynamic Behavior of a Vehicle Suspension when Passing over a Bump

2019 ◽  
Vol 29 ◽  
pp. 02014
Author(s):  
Sorin Deac ◽  
Steliana Stanciu ◽  
Costel Berce ◽  
Eduard Nicuşor Oanţă ◽  
Daniel Vladaia ◽  
...  
Keyword(s):  
Differential Equations ◽  
Simulation Model ◽  
Dynamic Behavior ◽  
Vehicle Suspension ◽  
Mechanical Parameters ◽  
Active Suspensions ◽  
Vertical Movements ◽  
Passenger Comfort

Passing a vehicle over bumps generates sudden variations in acceleration with effects on passenger comfort. In this paper we aim to model the movement of a vehicle, considering only vertical movements, neglecting the movement of roll and pitch. Based on differential equations that govern dynamic behavior, a simulation model of motion is built in MATLAB, the Simulink® module. Suspensions of the vehicle will be considered as passive and semi-active. Passive and semi-active are still the most common suspensions, although active suspensions have been used lately, with mechanical parameters thatcharacterize suspensions, stiffness and dampers being controlled. The paper analyzes the responses given by the suspensions to the passage over bumps, and how they can be mitigated.

Simulation Model of the Dynamic Behavior of a Tire Running Over an Obstacle

1988 ◽  
Vol 16 (2) ◽  
pp. 62-77 ◽  
Author(s):  
P. Bandel ◽  
C. Monguzzi
Keyword(s):  
Simulation Model ◽  
Dynamic Behavior ◽  
Black Box ◽  
Box Model ◽  
Vehicle Suspension ◽  
Empirical Relationships ◽  
Static Tests ◽  
High Speeds ◽  
Dynamic Forces ◽  
Vehicle Suspension System

Abstract A “black box” model is described for simulating the dynamic forces transmitted to the vehicle hub by a tire running over an obstacle at high speeds. The tire is reduced to a damped one-degree-of-freedom oscillating system. The five parameters required can be obtained from a test at a given speed. The model input is composed of a series of empirical relationships between the obstacle dimensions and the displacement of the oscillating system. These relationships can be derived from a small number of static tests or by means of static models of the tire itself. The model can constitute the first part of a broader model for description of the tire and vehicle suspension system, as well as indicating the influence of tire parameters on dynamic behavior at low and medium frequencies (0–150 Hz).

Research and Analysis of Dynamic Behaviour in the Mathematical Models of the 6-Axle Locomotive

2011 ◽  
Vol 105-107 ◽  
pp. 541-544
Author(s):  
Van Tham Mai ◽  
Shi Jing Wu ◽  
Xiao Sun Wang ◽  
Jie Chen ◽  
S. A. K. S. Jafri
Keyword(s):  
Differential Equations ◽  
Mathematical Models ◽  
Dynamic Behavior ◽  
Dynamic Behaviour ◽  
Computer Software ◽  
Rolling Contact ◽  
Rolling Stock ◽  
Vertical Movements ◽  
Dynamic Behaviors ◽  
Second Order Differential Equations

With the aiming of mathematically modeling dynamic behavior in latitudinal and vertical movements of the 6-axle locomotive, this paper introduces the Kalker’s Wheel-Rail Rolling Contact Theories and their implementation in multibody codes. This paper also highlights methodology for solving inhomogeneous linear second-order differential equations with MATLAB computer software aided. The calculation has reported that the dynamic behaviors of Diesel-Electric 6-axle locomotive are significantly demonstrated. The calculation has reported that the dynamic behaviors of Diesel-Electric 6-axle locomotive are significantly demonstrated the requirements on Rolling stock Dynamic behaviors of Vietnam Railways.

Disk Position Nonlinearity Effects on the Chaotic Behavior of Rotating Flexible Shaft-Disk Systems

2012 ◽  
Vol 28 (3) ◽  
pp. 513-522 ◽  
Author(s):  
H. M. Khanlo ◽  
M. Ghayour ◽  
S. Ziaei-Rad
Keyword(s):  
Partial Differential Equations ◽  
Differential Equations ◽  
Dynamic Behavior ◽  
Chaotic Behavior ◽  
Equations Of Motion ◽  
Beam Theory ◽  
Disk System ◽  
Partial Differential ◽  
Rayleigh Beam ◽  
Flexible Shaft

AbstractThis study investigates the effects of disk position nonlinearities on the nonlinear dynamic behavior of a rotating flexible shaft-disk system. Displacement of the disk on the shaft causes certain nonlinear terms which appears in the equations of motion, which can in turn affect the dynamic behavior of the system. The system is modeled as a continuous shaft with a rigid disk in different locations. Also, the disk gyroscopic moment is considered. The partial differential equations of motion are extracted under the Rayleigh beam theory. The assumed modes method is used to discretize partial differential equations and the resulting equations are solved via numerical methods. The analytical methods used in this work are inclusive of time series, phase plane portrait, power spectrum, Poincaré map, bifurcation diagrams, and Lyapunov exponents. The effect of disk nonlinearities is studied for some disk positions. The results confirm that when the disk is located at mid-span of the shaft, only the regular motion (period one) is observed. However, periodic, sub-harmonic, quasi-periodic, and chaotic states can be observed for situations in which the disk is located at places other than the middle of the shaft. The results show nonlinear effects are negligible in some cases.

Tire Force Control Strategy for Semi Active Magnetorheological Damper Suspension System Using Quarter Heavy Vehicle Model

2015 ◽  
Vol 789-790 ◽  
pp. 957-961
Author(s):  
Syabillah Sulaiman ◽  
Pakharuddin Mohd Samin ◽  
Hishamuddin Jamaluddin ◽  
Roslan Abd Rahman ◽  
Saiful Anuar Abu Bakar
Keyword(s):  
Simulation Model ◽  
Control Strategy ◽  
Force Control ◽  
Mr Damper ◽  
Magnetorheological Damper ◽  
Vehicle Suspension ◽  
Heavy Vehicle ◽  
Vehicle Model ◽  
Tire Force ◽  
Simulation Results

This paper proposed semi active controller scheme for magnetorheological (MR) damper of a heavy vehicle suspension known as Tire Force Control (TFC). A reported algorithm in the literature to reduce tire force is Groundhook (GRD). Thus, the objective of this paper is to investigate the effectiveness of the proposed TFC algorithm compared to GRD. These algorithms are applied to a quarter heavy vehicle models, where the objective of the proposed controller is to reduce unsprung force (tire force). The simulation model was developed and simulated using MATLAB Simulink software. The use of semi active MR damper using TFC is analytically studied. Ride test was conducted at three different speeds and three bump heights, and the simulation results of TFC and GRD are compared and analysed. The results showed that the proposed controller is able to reduced tire force significantly compared to GRD control strategy.

scholarly journals Investigations of the Effects of Geometric Imperfections on the Nonlinear Static and Dynamic Behavior of Capacitive Micomachined Ultrasonic Transducers

Micromachines ◽  
2018 ◽  
Vol 9 (11) ◽  
pp. 575 ◽  
Author(s):  
Aymen Jallouli ◽  
Najib Kacem ◽  
Joseph Lardies
Keyword(s):  
Differential Equations ◽  
Dynamic Behavior ◽  
Plate Theory ◽  
Differential Quadrature Method ◽  
Equations Of Motion ◽  
Harmonic Balance Method ◽  
Ultrasonic Transducers ◽  
Initial Deflection ◽  
Geometric Imperfections ◽  
Resonance Frequencies

In order to investigate the effects of geometric imperfections on the static and dynamic behavior of capacitive micomachined ultrasonic transducers (CMUTs), the governing equations of motion of a circular microplate with initial defection have been derived using the von Kármán plate theory while taking into account the mechanical and electrostatic nonlinearities. The partial differential equations are discretized using the differential quadrature method (DQM) and the resulting coupled nonlinear ordinary differential equations (ODEs) are solved using the harmonic balance method (HBM) coupled with the asymptotic numerical method (ANM). It is shown that the initial deflection has an impact on the static behavior of the CMUT by increasing its pull-in voltage up to 45%. Moreover, the dynamic behavior is affected by the initial deflection, enabling an increase in the resonance frequencies and the bistability domain and leading to a change of the frequency response from softening to hardening. This model allows MEMS designers to predict the nonlinear behavior of imperfect CMUT and tune its bifurcation topology in order to enhance its performances in terms of bandwidth and generated acoustic power while driving the microplate up to 80% beyond its critical amplitude.

scholarly journals A New Numerical Procedure for Vibration Analysis of Beam under Impulse and Multiharmonics Piezoelectric Actuators

2020 ◽  
Vol 2020 ◽  
pp. 1-19
Author(s):  
Yassin Belkourchia ◽  
Lahcen Azrar
Keyword(s):  
Partial Differential Equations ◽  
Differential Equations ◽  
Dynamic Behavior ◽  
Methodological Approach ◽  
Numerical Procedure ◽  
Piezoelectric Actuators ◽  
Partial Differential ◽  
Simple Method ◽  
Regularization Procedure ◽  
Dirac Delta

The dynamic behavior of structures with piezoelectric patches is governed by partial differential equations with strong singularities. To directly deal with these equations, well adapted numerical procedures are required. In this work, the differential quadrature method (DQM) combined with a regularization procedure for space and implicit scheme for time discretization is used. The DQM is a simple method that can be implemented with few grid points and can give results with a good accuracy. However, the DQM presents some difficulties when applied to partial differential equations involving strong singularities. This is due to the fact that the subsidiaries of the singular functions cannot be straightforwardly discretized by the DQM. A methodological approach based on the regularization procedure is used here to overcome this difficulty and the derivatives of the Dirac-delta function are replaced by regularized smooth functions. Thanks to this regularization, the resulting differential equations can be directly discretized using the DQM. The efficiency and applicability of the proposed approach are demonstrated in the computation of the dynamic behavior of beams for various boundary conditions and excited by impulse and Multiharmonics piezoelectric actuators. The obtained numerical results are well compared to the developed analytical solution.

Modeling the Work of a Torque Converter during the Getaway Process of a Vehicle

2016 ◽  
Vol 823 ◽  
pp. 253-258
Author(s):  
Constantin Ovidiu Ilie ◽  
Octavian Alexa ◽  
Ion Lespezeanu ◽  
Marin Marinescu ◽  
Dănuț Grosu
Keyword(s):  
Simulation Model ◽  
Dynamic Behavior ◽  
Torque Converter ◽  
Virtual Simulation ◽  
Virtual Model ◽  
Performance Parameters ◽  
Transient Regimes ◽  
Modeling Process ◽  
Time Histories ◽  
Angular Velocities

The paper aims at issuing of a virtual simulation model that would be able to assess the actual working modes of a torque converter, both hydraulically and mechanically. To estimating the dynamic behavior we used the assessing equations of the converter’s performance coefficients. The rotational inertial phenomena due to the transient regimes during the getaway phase are also considered. The modeling process assumed the use of the pre-defined structures of the Simulink-Matlab and Simscape-Matlab modules. The virtual model of the torque converter was fed with the experimentally determined, performance parameters as input. The input also consisted of the inertia moments of the converter’s components. Eventually, by interrogating the simulation model, we’ve got and plotted the time histories of the converter’s impeller and turbine angular velocities during the vehicle’s getaway process.

A Modal Transient Simulation Model for Flexible Asymmetric Rotors

1976 ◽  
Vol 98 (1) ◽  
pp. 312-319 ◽  
Author(s):  
D. W. Childs
Keyword(s):  
Simulation Model ◽  
Dynamic Behavior ◽  
Transient Simulation ◽  
Synchronous Motion ◽  
Stiffness Properties ◽  
Transient Simulations ◽  
Modal Coordinates ◽  
Physical Dimensions

A simulation model is developed which accounts for an orthotropic as opposed to an axisymmetric rotor, i.e., rotors are considered whose stiffness and inertial properties in two mutually orthogonal planes are different. A rotor-fixed formulation is employed to define the rotor’s elastic deflections. Favorable characteristics of this formulation are that (a) the rotor’s inertial and stiffness properties are constant, and (b) the modal coordinates are nonoscillatory during synchronous motion. The validity of the formulation is verified by conducting transient simulations for a rotor having the approximate physical dimensions of a two-pole 500 MW alternator. The simulation model correctly simulates the rotor’s theoretically predicted dynamic behavior.

Research of Mini Car Handling Stability Based on ADAMS

2011 ◽  
Vol 486 ◽  
pp. 246-249 ◽  
Author(s):  
Zhen Jiang Ma ◽  
Lin Chen ◽  
Ning Xu
Keyword(s):  
Simulation Model ◽  
Software Package ◽  
Three Dimensional ◽  
Vehicle Suspension ◽  
Dynamic Simulations ◽  
Advanced Method ◽  
Test Methodology ◽  
Adams Software ◽  
Vehicle Systems ◽  
Dimensional Simulation

This paper presents a highly effective and efficient advanced method for design and development of handling stability systems of mini-cars. In order to design and develop the steering-stability system of a car, a three-dimensional simulation model is built, including the establishment of vehicle suspension, steering, tires and other vehicle systems, using ADAMS software package. This model has been tested through the kinematic and dynamic simulations according to the corresponding test methodology.

Effect of Track Geometry and Rail Vehicle Suspension on Passenger Comfort in Curves and Transitions

1977 ◽  
Vol 99 (4) ◽  
pp. 841-848
Author(s):  
G. R. Doyle ◽  
M. A. Thomet
Keyword(s):  
High Speed ◽  
Rolling Stock ◽  
Vehicle Suspension ◽  
Passenger Cars ◽  
Area Formula ◽  
Passenger Comfort ◽  
Track Geometry ◽  
Rail Vehicle ◽  
Current Area ◽  
Six Degree Of Freedom

Passenger comfort is an important constraint on high-speed operation in curves and transitions. The effect of track geometry and vehicle suspension characteristics on passenger comfort were investigated with a six-degree-of-freedom, time domain simulation of the car body dynamics. The rail vehicle was simulated at constant speed on transitions and curves to generate acceleration profiles at a passenger’s seat location. The main conclusion of this study is that modern rolling stock can negotiate curves at a higher unbalanced superelevation than is recommended in the current AREA formula without exceeding passenger comfort standards. Also, the minimum spiral lengths as determined by the AREA formula are adequate for passenger cars with stiff roll characteristics, such as the Metroliner vehicles.

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