Abstract
Function generation for finitely many positions and dead-center design problems are generally separately handled in the literature. This paper presents a mixed formulation for planar slider-crank linkages where three precision points and a folded or extended dead-center position are to be satisfied. The formulation results in an 8th degree univariate. Examples show that generally there are four real solutions, only two of which result in distinct solutions.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Hartenberg, R.S., Denavit, J.: Kinematic Synthesis of Linkages. McGraw-Hill, New York (1964)
Sandor, G.N., Erdman, A.G.: Advanced Mechanism Design: Analysis and Synthesis, vol. II. Prentice Hall, New Jersey (1984)
McCarthy, J.M., Soh, G.S.: Geometric Design of Linkages, 2nd edn. Springer, New York (2011)
Hall, A.S.: Kinematics and Linkage Design. Prentice-Hall, Englewood Cliffs (1961)
Norton, R.L.: Design of Machinery, 6th edn. McGraw-Hill, Boston (2019)
Mallik, A.K., Ghosh, A., Dittrich, G.: Kinematic Analysis and Synthesis of Mechanisms. CRC Press, Boca Raton (1994)
Pennestrì, E., Valentini, P.P.: A review of simple analytical methods for the kinematic synthesis of four-bar and slider-crank function generators for two and three prescribed finite positions. Buletin Stiintific Seria Mecanica Aplicata 25, 128–143 (2009)
Kiper, G., Erez, M.: Function generation synthesis with planar 4-Bar linkage as a mixed problem of correlation of crank angles and dead-center design. In: Wang, D., Petuya, V., Chen, Y., Yu, S. (eds.) MeTrApp 2019. MMS, vol. 79, pp. 42–47. Springer, Singapore (2020). https://doi.org/10.1007/978-981-15-0142-5_5
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2020 The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG
About this paper
Cite this paper
Kiper, G., Görgülü, İ., Küçükoğlu, S.F. (2020). Function Generation Synthesis of Planar Slider-Crank Linkages for Given 3 Positions and a Dead-Center Position. In: Pisla, D., Corves, B., Vaida, C. (eds) New Trends in Mechanism and Machine Science. EuCoMeS 2020. Mechanisms and Machine Science, vol 89. Springer, Cham. https://doi.org/10.1007/978-3-030-55061-5_6
Download citation
DOI: https://doi.org/10.1007/978-3-030-55061-5_6
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-030-55060-8
Online ISBN: 978-3-030-55061-5
eBook Packages: EngineeringEngineering (R0)