Structural and kinematic analysis of pantograph-type manipulator with three degrees of freedom

: 68-82
Received: April 07, 2019
Revised: June 27, 2019
Accepted: August 30, 2019

V. Korendiy, R. Zinko, Yu. Cherevko, "Structural and kinematic analysis of pantograph-type manipulator with three degrees of freedom", Ukrainian Journal of Mechanical Engineering and Materials Science, vol. 5, no. 2, pp. 68-82, 2019.

Lviv Polytechnic National University
Lviv Polytechnic National University, Lviv, Ukraine
Hetman Petro Sahaidachnyi National Army Academy

Problem statement. The processes of development and improvement of autonomous mobile robots are significantly constrained because of the lack of an open-access comprehensive scientific and theoretical framework for calculating and designing of autonomous mobile robotic systems Purpose. The main objective of the paper consists in carrying out kinematic analysis and motion simulation of pantograph-type manipulator with three degrees of freedom. Methodology. The method of closed vector loops is used for deriving the equations of motion of the robot’s manipulator. In order to perform simulation (virtual experiment), the 3D-model of the robot was designed in SolidWorks software. Findings (results). The motion equations of the pantograph-type manipulator are derived, and the graphical dependencies describing the trajectories (paths) of the gripping device are constructed. In order to substantiate the correctness of the derived equations, and of the presented laws of the gripper motion, the corresponding 3D-model of the robot was designed and investigated in SolidWorks software. Scopes of further investigations. In the present paper, there are analysed kinematic parameters of the manipulator motion. While carrying out further investigations, it is necessary to perform its dynamic analysis taking into account all the forces acting upon the elements of the robot, as well as the influence of drives. This will allow to catty out the optimization synthesis of the robots structure, namely the geometrical parameters of the mechanism, operational parameters of drives, etc.

[1] I. J. Cox, G. T. Wilfong, Autonomous Robot Vehicles. New York: Spinger-Verlag, 1990.

[2] J. L. Jones, A. M. Flynn, B. A. Seiger, Mobile Robots: Inspiration to Implementation. Boka Raton, Fl: CRC Press, 2019.

[3] F. Fahimi, Autonomous Robots: Modelling, Path Planning, and Control. New York: Springer Science + Business Media, 2009.

[4] R. N. Jazar, Theory of Applied Robotics: Kinematics, Dynamics, and Control. New York: Springer Science + Business Media, 2010.

[5] P. Sandin, Robot mechanisms and mechanical devices. New York: McGraw-Hill, 2003.

[6] R. M. Murray, Z. Li, S. Sh.Sastry, A Mathematical Introduction to Robotic Manipulation. Boka Raton, Fl: CRC Press, 1994.

[7] C. D. Crane III, J. Duffy, Kinematic Analysis of Robot Manipulators. New York: Cambridge University Press, 2008.

[8] M. Ceccarelli, Fundamentals of Mechanics of Robotic Manipulation. Dordrecht, Netherlands: Kluwer Academic Publishers, 2004.

[9] J. Angeles, Fundamentals of Robotic Mechanical Systems: Theory, Methods, and Algorithms. Cham, Switzerland: Springer, 2014.

[10] J. J. Craig, Introduction to Robotics Mechanics and Control. Upper Saddle River, NJ: Pearson Education, 2005.

[11] H. Choset, et al., Principles of Robot Motion: Theory, Algorithms, and Implementation. Cambridge, MA: The MIT Press, 2005.

[12] A. J. Kurdila, P. Ben-Tzvi, Dynamics and Control of Robotic Systems. Hoboken, NJ: Wiley, 2019.

[13] K. Russell, Q. Shen, R. S. Sodhi, Kinematics and Dynamics of Mechanical Systems Implementation in MATLAB® and SimMechanics®. Boka Raton, Fl: CRC Press, 2019.

[14] D. B. Marghitu, Mechanisms and Robots Analysis with MATLAB®. London, UK: Springer-Verlag, 2009.