scholarly journals Numerical Simulation of Inertia Matrix for 6 DoF Industrial Robot

2021 ◽  
Vol 1 (1) ◽  
Author(s):  
Jelena Vidakovic ◽  
Vladimir Kvrgic ◽  
Pavle Stepanic
Keyword(s):  
Numerical Simulation ◽  
Motion Control ◽  
Industrial Robot ◽  
Equations Of Motion ◽  
Process Models ◽  
Robot Motion ◽  
Revolute Joints ◽  
Inertia Matrix ◽  
Robot Configuration ◽  
Selection Of

The robot dynamic model is essential for the precision and reliability of robot design, motion control, and simulation. A robot inertia matrix, whose elements are coefficients of joint accelerations within the robot equations of motion, plays an important role in the robot’s control design. During robot motion, elements of the inertia matrix are functions of robot configuration (robot joint positions). To facilitate the development of process models and to make an appropriate selection of motion control algorithms, it is useful to perform numerical simulations of inertia matrix elements for different robot trajectories. In this paper, numerical simulation of inertia matrix is presented for 6 DoF industrial robot with revolute joints for the programmed robot motion. Inertia matrix is obtained from the robot dynamical model developed by using modified recursive Newton-Euler algorithm. Based on the presented simulations, variation of effective inertias and magnitude and variation of cross-coupling effects in the robot inertia matrix are examined.

scholarly journals Modeling in ADAMS of a 6R industrial robot

2018 ◽  
Vol 184 ◽  
pp. 02006
Author(s):  
Mariana Ratiu ◽  
Alexandru Rus ◽  
Monica Loredana Balas
Keyword(s):  
Dynamic Analysis ◽  
Industrial Robot ◽  
Kinematic Model ◽  
Future Research ◽  
Robot Motion ◽  
Cad Model ◽  
3D Cad ◽  
Revolute Joints ◽  
Real Model ◽  
Articulated Robot

In this paper, we present the first steps in the process of the modeling in ADAMS MBS of MSC software of the mechanical system of an articulated robot, with six revolute joints. The geometric 3D CAD model of the robot, identical to the real model, in the PARASOLID format, is imported into ADAMS/View and then are presented the necessary steps for building the kinematic model of the robot. We conducted this work, in order to help us in our future research, which will consist of kinematic and dynamic analysis and optimization of the robot motion.

Propagation of Nonlinearities in the Inertia Matrix of Tracked Vehicles

1994 ◽  
Author(s):  
J. H. Choi ◽  
A. A. Shabana ◽  
Roger A. Wehage
Keyword(s):  
Numerical Solution ◽  
Vehicle Dynamics ◽  
Equations Of Motion ◽  
Coefficient Matrix ◽  
Influence Coefficient ◽  
Dynamic Force ◽  
Tracked Vehicles ◽  
Revolute Joints ◽  
Inertia Matrix ◽  
Force Coupling

Abstract In this investigation, a procedure is presented for the numerical solution of tracked vehicle dynamics equations of motion. Tracked vehicles can be represented as two kinematically decoupled subsystems. The first is the chassis subsystem which consists of chassis, rollers, idlers, and sprockets. The second is the track subsystem which consists of track links interconnected by revolute joints. While there is dynamic force coupling between these two subsystems, there is no inertia coupling since the kinematic equations of the two subsystems are not coupled. The objective of the procedure developed in this investigation is to take advantage of the fact that in many applications, the shape of the track does not significantly change even though the track links undergo significant configurations changes. In such cases the nonlinearities propagate along the diagonals of a velocity influence coefficient matrix. This matrix is the only source of nonlinearities in the generalized inertia matrix. A permutation matrix is introduced to minimize the number of generalized inertia matrix LU factor evaluations for the track.

scholarly journals Development and Research of Motion Control Algorithms of Elastic Electromechanical Systems Taking into Account the Damping Properties of the Electric Drive

2021 ◽  
Vol 2096 (1) ◽  
pp. 012064
Author(s):  
I A Iov ◽  
N K Kuznetsov ◽  
E S Dolgih
Keyword(s):  
Numerical Simulation ◽  
Motion Control ◽  
Electromotive Force ◽  
Electromechanical System ◽  
Control Algorithms ◽  
Damping Properties ◽  
Elastic Oscillation ◽  
Oscillation Control ◽  
Controlled Motion ◽  
Selection Of

Abstract The paper presents the results of studies of the effect of the counter-electromotive force (CEMF) of the dc machine on the parameters of the elastic oscillation control system of a two-mass electromechanical system, synthesized based on of solving the inverse problems of dynamic in accord with prescribed nature of controlled motion. It is shown by the method of numerical simulation that taking into account the CEMF leads to an increase of the damping properties of the electromechanical system and an increase of the gains of the feedbacks on the force in the cable. A method for the selection of these gains is proposed, based on their comparison with the gains obtained in an electromechanical system without taking into account the CEMF and an approximate assessment of its effect on the nature of the transient processes.

Kinematic Modeling for a 6-DOF Industrial Robot

2012 ◽  
Vol 590 ◽  
pp. 471-474 ◽  
Author(s):  
Guan Bin Gao ◽  
Jian Lu ◽  
Jian Jun Zhou
Keyword(s):  
Motion Control ◽  
Structural Characteristics ◽  
Industrial Robot ◽  
Structural Parameters ◽  
Kinematic Model ◽  
Great Influence ◽  
Robot Motion ◽  
Coordinate Systems ◽  
Kinematic Modeling ◽  
Position And Orientation

The kinematic model of robots is to describe the nonlinear relationship between the displacement of joints and the position and orientation of the end-effector, which is an important part of robotics. Kinematic model has great influence on the robot’s accuracy and motion control. In this paper, we studied the robot’s kinematic modeling methods and analyzed the characteristics and singularity of traditional DH method. By analyzing and comparing the structural characteristics of a 6-DOF industrial robot a MDH method was chosen to establish kinematic model. From the kinematic model the joint coordinate systems, structural parameters and homogeneous transformation matrixes of the robot are obtained. The kinematic model provides a theoretical basis for the robot motion control, calibration and error compensation.

Upper-limb Rehabilitation Robot Motion Control Based on Dynamic Interpolation

ROBOT ◽  
2012 ◽  
Vol 34 (5) ◽  
pp. 539 ◽  
Author(s):  
Lizheng PAN ◽  
Aiguo SONG ◽  
Guozheng XU ◽  
Huijun LI ◽  
Baoguo XU
Keyword(s):  
Motion Control ◽  
Upper Limb ◽  
Robot Motion ◽  
Rehabilitation Robot ◽  
Upper Limb Rehabilitation ◽  
Limb Rehabilitation

scholarly journals Motion Planning and Control of an Omnidirectional Mobile Robot in Dynamic Environments

Robotics ◽  
2021 ◽  
Vol 10 (1) ◽  
pp. 48
Author(s):  
Mahmood Reza Azizi ◽  
Alireza Rastegarpanah ◽  
Rustam Stolkin
Keyword(s):  
Mobile Robot ◽  
Collision Avoidance ◽  
Motion Control ◽  
Equations Of Motion ◽  
Dynamic Environments ◽  
Discrete State ◽  
Omnidirectional Mobile Robot ◽  
Planning And Control ◽  
Avoidance Strategy ◽  
And Performance

Motion control in dynamic environments is one of the most important problems in using mobile robots in collaboration with humans and other robots. In this paper, the motion control of a four-Mecanum-wheeled omnidirectional mobile robot (OMR) in dynamic environments is studied. The robot’s differential equations of motion are extracted using Kane’s method and converted to discrete state space form. A nonlinear model predictive control (NMPC) strategy is designed based on the derived mathematical model to stabilize the robot in desired positions and orientations. As a main contribution of this work, the velocity obstacles (VO) approach is reformulated to be introduced in the NMPC system to avoid the robot from collision with moving and fixed obstacles online. Considering the robot’s physical restrictions, the parameters and functions used in the designed control system and collision avoidance strategy are determined through stability and performance analysis and some criteria are established for calculating the best values of these parameters. The effectiveness of the proposed controller and collision avoidance strategy is evaluated through a series of computer simulations. The simulation results show that the proposed strategy is efficient in stabilizing the robot in the desired configuration and in avoiding collision with obstacles, even in narrow spaces and with complicated arrangements of obstacles.

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