Analysis of Vehicle Dynamic Equilibrium Points with 3-DOF Based on Genetic Algorithm

2014 ◽  
Vol 608-609 ◽  
pp. 721-725
Author(s):  
Rong Li ◽  
Wei Min Li
Keyword(s):  
Genetic Algorithm ◽  
Vehicle Dynamics ◽  
Optimization Design ◽  
Degrees Of Freedom ◽  
Dynamic Equilibrium ◽  
Equilibrium Points ◽  
Vehicle Handling ◽  
Dynamic Modification ◽  
The Stability ◽  
Three Degrees Of Freedom

To further study the stability of vehicle dynamics, a vehicle handling stability’s nonlinear model (including longitudinal, lateral and yaw movement three degrees of freedom) was established. Genetic algorithm was proposed for the vehicle dynamics system’s equilibrium points with 3-DOF. This algorithm solves the problem that cannot be solved through the traditional analytic algorithms and numerical methods. Comparing with the existing research results, the feasibility of solving the equilibrium point by the genetic algorithm is verified. It provides the theoretical foundation for dynamic modification and optimization design of powertrain.

scholarly journals Galloping Stability and Wind Tunnel Test of Iced Quad Bundled Conductors considering Wake Effect

2020 ◽  
Vol 2020 ◽  
pp. 1-15
Author(s):  
Xiaohui Liu ◽  
Ming Zou ◽  
Chuan Wu ◽  
Mengqi Cai ◽  
Guangyun Min ◽  
...  
Keyword(s):  
Wind Tunnel ◽  
Transmission Lines ◽  
Degrees Of Freedom ◽  
Wind Tunnel Test ◽  
Aerodynamic Coefficients ◽  
Wake Effect ◽  
Aerodynamic Coefficient ◽  
Set Up ◽  
The Stability ◽  
Three Degrees Of Freedom

A new quad bundle conductor galloping model considering wake effect is proposed to solve the problem of different aerodynamic coefficients of each subconductor of iced quad bundle conductor. Based on the quasistatic theory, a new 3-DOF (three degrees of freedom) galloping model of iced quad bundle conductors is established, which can accurately reflect the energy transfer and galloping of quad bundle conductor in three directions. After a series of formula derivations, the conductor stability judgment formula is obtained. In the wind tunnel test, according to the actual engineering situation, different variables are set up to accurately simulate the galloping of iced quad bundle conductor under the wind, and the aerodynamic coefficient is obtained. Finally, according to the stability judgment formula of this paper, calculate the critical wind speed of conductor galloping through programming. The dates of wind tunnel test and calculation in this paper can be used in the antigalloping design of transmission lines.

Numerical Investigation of the Influence of Friction Coefficient on Brake Groan

2010 ◽  
Vol 44-47 ◽  
pp. 1923-1927 ◽  
Author(s):  
Xian Jie Meng
Keyword(s):  
Nonlinear Dynamics ◽  
Friction Coefficient ◽  
Degrees Of Freedom ◽  
Equilibrium Points ◽  
Static Friction ◽  
Kinetic Friction ◽  
Dynamics Model ◽  
Excited Vibration ◽  
Nonlinear Dynamics Model ◽  
The Stability

A two degrees of freedom nonlinear dynamics model of self-excited vibration induced by dry-friction of brake disk and pads is built firstly, the stability of vibration system at the equilibrium points is analyzed using the nonlinear dynamics theory. Finally the numerical method is taken to study the impacts of friction coefficient on brake groan. The calculation result shows that with the increase of kinetic friction coefficient /or the decrease of difference value between static friction coefficient and kinetic friction coefficient can prevent or restrain self-excited vibration from happening.

scholarly journals Equilibrium Further Studied for Combined System of Cournot and Bertrand: A Differential Approach

Complexity ◽  
2020 ◽  
Vol 2020 ◽  
pp. 1-11
Author(s):  
Bingyuan Gao ◽  
Yueping Du
Keyword(s):  
General Equilibrium ◽  
Equilibrium Point ◽  
Price Competition ◽  
Dynamic Equilibrium ◽  
Equilibrium Points ◽  
Cournot Model ◽  
Combined System ◽  
Quantity Competition ◽  
Bertrand Model ◽  
The Stability

In general, quantity competition and price competition exist simultaneously in a dynamic economy system. Whether it is quantity competition or price competition, when there are more than three companies in one market, the equilibrium points will become chaotic and are very difficult to be derived. This paper considers generally dynamic equilibrium points of combination of the Bertrand model and Cournot model. We analyze general equilibrium points of the Bertrand model and Cournot model, respectively. A general equilibrium point of the combination of the Cournot model and Bertrand model is further investigated in two cases. The theory of spatial agglomeration and intermediate value theorem are introduced. In addition, the stability of equilibrium points is further illustrated on celestial bodies motion. The results show that at least a general equilibrium point exists in combination of Cournot and Bertrand. Numerical simulations are given to support the research results.

Vertical Planar Underactuated Manipulation Using a Gravity Compensation Mechanism

2005 ◽  
Vol 17 (5) ◽  
pp. 553-559 ◽  
Author(s):  
Yoshiki Ono ◽  
◽  
Toshio Morita ◽  
Keyword(s):  
Degrees Of Freedom ◽  
Position Control ◽  
Equilibrium Points ◽  
Gravity Compensation ◽  
Compensation Mechanism ◽  
Angular Variation ◽  
Underactuated Manipulator ◽  
Zero Equilibrium ◽  
Three Degrees Of Freedom ◽  
Active Base

We propose generating and erasing equilibrium points for passive joints, together with an underactuated manipulator having both vertical and horizontal planar type. This manipulator implements three degrees of freedom (DOF) by combining a passive two-DOF mechanical gravity canceller and an active base joint. Equilibrium points are erased and adjusted by angular variation of the base joint so equilibrium points are erased when gravity torque is zero. If gravity torque is not zero, equilibrium points depend on angular variation of the base joint. Experimental results show position control of the distal link through the mechanical gravity canceller is effective for underactuated manipulation.

POSE ESTIMATION IN AUTOMATED VISUAL INSPECTION USING GENETIC ALGORITHM

2006 ◽  
Vol 16 (04) ◽  
pp. 255-269
Author(s):  
S. HATI ◽  
K. CHAUDHURY ◽  
A. IBRAHIM
Keyword(s):  
Genetic Algorithm ◽  
Degrees Of Freedom ◽  
Visual Inspection ◽  
Maximum Error ◽  
Least Square ◽  
Automated Visual Inspection ◽  
Object Space ◽  
Rotational Error ◽  
Gradient Based ◽  
Three Degrees Of Freedom

In this paper, we propose a genetic algorithm based approach to determine the pose of an object in Automated Visual Inspection having three degrees of freedom. We have investigated the effect of noise at 20 dB SNR and also mismatch resulting from incorrect correspondences between the object space points and the image space points, on the estimation of pose parameters. The maximum error in translation parameters is less than 0.45 cm and rotational error is less than 0.2 degree at 20 dB SNR. The error in parameter estimation is insignificant upto 7 pairs of mismatched points out of 24 points in object space and the results skyrockets when 8 or more pairs of points are mismatched. We have compared our result with that obtained by least square technique and it shows that GA based method outperform the gradient based technique when the number of vertices of the object to be inspected is small. These results have clearly established the robustness of GA in estimating the pose of an object with small number of vertices in automated visual inspection.

scholarly journals Design and Verification of Heading and Velocity Coupled Nonlinear Controller for Unmanned Surface Vehicle

Sensors ◽  
2018 ◽  
Vol 18 (10) ◽  
pp. 3427 ◽  
Author(s):  
Jiucai Jin ◽  
Jie Zhang ◽  
Deqing Liu
Keyword(s):  
Degrees Of Freedom ◽  
Lyapunov Theory ◽  
Velocity Control ◽  
Nonlinear Controller ◽  
Experiment Data ◽  
Unmanned Surface Vehicle ◽  
Autonomous Operation ◽  
The Stability ◽  
Velocity Tracking ◽  
Three Degrees Of Freedom

Unmanned Surface Vehicle (USV) is a novel multifunctional platform for ocean observation, and its heading and velocity control are essential and important for autonomous operation. A coupled heading and velocity controller is designed using backstepping technology for an USV called ‘USBV’ (Unmanned Surface Bathymetry Vehicle). The USBV is an underactuated catamaran, where the heading and velocity are controlled together by two thrusters at the stern. The three degrees-of-freedom equations are used for USBV’s modeling, which is identified using experiment data. The identified model, with two inputs, induces heading and velocity tracking, which are coupled. Based on the model, a nonlinear controller for heading and velocity are acquired using backstepping technology. The stability of the controller is proved by Lyapunov theory under some assumptions. The verification is presented by lake and sea experiments.

Genetic algorithm-based optimal bipedal walking gait synthesis considering tradeoff between stability margin and speed

Robotica ◽  
2009 ◽  
Vol 27 (3) ◽  
pp. 355-365 ◽  
Author(s):  
Goswami Dip ◽  
Vadakkepat Prahlad ◽  
Phung Duc Kien
Keyword(s):  
Genetic Algorithm ◽  
Degrees Of Freedom ◽  
Walking Speed ◽  
Stability Margin ◽  
Biped Robot ◽  
Bipedal Walking ◽  
Step Size ◽  
Walking Gait ◽  
Gait Synthesis ◽  
The Stability

SUMMARYThe inverse kinematics of a 12 degrees-of-freedom (DOFs) biped robot is formulated in terms of certain parameters. The biped walking gaits are developed using the parameters. The walking gaits are optimized using genetic algorithm (GA). The optimization is carried out considering relative importance of stability margin and walking speed. The stability margin depends on the position of zero-moment-point (ZMP) while walking speed varies with step-size. The ZMP is computed by an approximation-based method which does not require system dynamics. The optimal walking gaits are experimentally realized on a biped robot.

scholarly journals Nonanthropomorphic exoskeleton with legs based on eight-bar linkages

2018 ◽  
Vol 15 (1) ◽  
pp. 172988141875577 ◽  
Author(s):  
Jorge Curiel Godoy ◽  
Ignacio Juárez Campos ◽  
Lucia Márquez Pérez ◽  
Leonardo Romero Muñoz
Keyword(s):  
Inverse Kinematics ◽  
Degrees Of Freedom ◽  
Main Function ◽  
Polynomial Functions ◽  
Forward And Inverse Kinematics ◽  
And Performance ◽  
The Stability ◽  
Robotic Leg ◽  
Three Degrees Of Freedom ◽  
Difficulty Walking

This article presents the principles upon which a new nonanthropomorphic biped exoskeleton was designed, whose legs are based on an eight-bar mechanism. The main function of the exoskeleton is to assist people who have difficulty walking. Every leg is based on the planar Peaucellier–Lipkin mechanism, which is a one degree of freedom linkage. To be used as a robotic leg, the Peaucellier–Lipkin mechanism was modified by including two more degrees of freedom, as well as by the addition of a mechanical system based on toothed pulleys and timing belts that provides balance and stability to the user. The use of the Peaucellier–Lipkin mechanism, its transformation from one to three degrees of freedom, and the incorporation of the stability system are the main innovations and contributions of this novel nonanthropomorphic exoskeleton. Its mobility and performance are also presented herein, through forward and inverse kinematics, together with its application in carrying out the translation movement of the robotic foot along paths with the imposition of motion laws based on polynomial functions of time.

Nonlinear Feedback Law for Tracking Control of DC-Actuated Robots

1999 ◽  
Author(s):  
L. Beji ◽  
M. Pascal
Keyword(s):  
Singular Perturbations ◽  
Tracking Control ◽  
Degrees Of Freedom ◽  
Control Law ◽  
Nonlinear Feedback ◽  
Serial Robot ◽  
The Stability ◽  
Stability Results ◽  
Three Degrees Of Freedom

Abstract In this paper, a nonlinear feedback law for tracking control of robots is proposed. The dynamic of actuators and only position measurements are taking into account to design the control law. The stability results are obtained from the passivity property of the system, and using singular perturbations techniques. Simulation tests are performed on a three degrees-of-freedom serial robot to illustrate our control law.

scholarly journals Optimization Design and Calculation of Mooring System Parameters based on Genetic Algorithm

2018 ◽  
Vol 153 ◽  
pp. 07006
Author(s):  
Liang-yu Xia ◽  
Li Zhi ◽  
Ling Chen ◽  
Yue Cheng
Keyword(s):  
Genetic Algorithm ◽  
Optimization Algorithm ◽  
Equilibrium Model ◽  
Optimization Design ◽  
Single Point ◽  
Mooring System ◽  
Crossover Operator ◽  
Multi Objective Optimization ◽  
System Parameters ◽  
The Stability

Based on the static equilibrium model of mooring system parameters, the multi - objective optimization model is established and the genetic algorithm is introduced as the optimization algorithm, which improves the crossover operator. Taking the example of a single point mooring system, concerned optimization design and calculation has been done. Compared with the general genetic algorithm, the result of this algorithm is superior, significantly improving the stability of the mooring system.

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