Abstract
For repetitive material-handling operations in various industries, fixed automation using single-degree-of-freedom mechanisms can often serve as a low-cost alternative to multi-degrees-of-freedom robots. Therefore, developing design procedures for inexpensive fixed automation solutions may be highly relevant in the context of developing as well as underdeveloped economies. A design methodology to analytically synthesise a planar pick-and-place system for displacement and velocity requirements using a planar four-bar mechanism is carried out in this work. A methodology to establish the availability of kinematic defect-free solutions in terms of two free design parameters is also proposed and illustrated with a numerical example.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Notes
- 1.
Vectors expressed as a pair of real numbers are represented in bold fonts, while those expressed as complex numbers are not.
- 2.
All the angles, namely, \(\phi , \lambda \) and \(\mu \), are represented in radians and the units are omitted.
References
G. Sandor, A. Erdman, Advanced Mechanical Design: Analysis and Synthesis, vol. 2 (Prentice-Hall Inc, Englewood Cliffs, New Jersey, 1984)
B. Roth, F. Freudenstein, Synthesis of path-generating mechanisms by numerical methods. J. Eng. Ind. 85(3), 298–304 (1963)
C. Wampler, A. Morgan, A. Sommese, Complete solution of the nine-point path synthesis problem for four-bar linkages. J. Mech. Des. 114(1), 153–159 (1992)
J.E. Holte, T.R. Chase, A.G. Erdman, Approximate velocities in mixed exact-approximate position synthesis of planar mechanisms. J. Mech. Des. 123, 388–394 (2001)
N.P. Robson, J.M. McCarthy, The synthesis of planar 4R linkages with three task positions and two specified velocities, in ASME International Design Engineering Technical Conferences, 29th Mechanisms and Robotics Conference, ASME (2005), pp. 425–432
D. Tesar, The generalized concept of four multiply separated positions in coplanar motion. J. Mech. 3(1), 11–23 (1968)
T.R. Chase, J.A. Mirth, Circuits and branches of single-degree-of-freedom planar linkages. J. Mech. Des. 115(2), 223–230 (1993)
K. Waldron, E. Stevensen, Elimination of branch, Grashof, and order defects in path-angle generation and function generation synthesis. J. Mech. Des. 101(3), 428–437 (1979)
A.P. Murray, M.L. Turner, D.T. Martin, Synthesizing single DOF linkages via transition linkage identification. J. Mech. Des. 130(2), 022301 (2008)
D.H. Myszka, A.P. Murray, C.W. Wampler, Computing the branches, singularity trace, and critical points of single degree-of-freedom, closed-loop linkages. J. Mech. Robot. 6(1), 011006 (2014)
E.A. Dijksman, Symmetrical four-bar coupler curves, containing three cusps. Forsch. Ing. 57(6), 198–202 (1991)
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2019 Springer Nature Singapore Pte Ltd.
About this paper
Cite this paper
Baskar, A., Bandyopadhyay, S. (2019). An Exact Synthesis of Pick-and-Place Mechanisms Using a Planar Four-Bar Linkage. In: Badodkar, D., Dwarakanath, T. (eds) Machines, Mechanism and Robotics. Lecture Notes in Mechanical Engineering. Springer, Singapore. https://doi.org/10.1007/978-981-10-8597-0_13
Download citation
DOI: https://doi.org/10.1007/978-981-10-8597-0_13
Published:
Publisher Name: Springer, Singapore
Print ISBN: 978-981-10-8596-3
Online ISBN: 978-981-10-8597-0
eBook Packages: EngineeringEngineering (R0)