Abstract
This work analyses the incidence of the parameter selection of B-spline curves, used in the design of displacement and motion functions, on its degree of freedom and shape. A complete design process based on the use of non-parametric B-spline curves and the convenience of selecting the curve parameters from the point of view of its practical application is shown. In order to make easy the design and use of the displacement function, the algorithms for derivation and integration of the B-splines used are presented. Three case studies validate the proposed design process and the selection of the adequate parameters. The first case presents the design of a displacement function of a roller follower driven by a disk cam; the corresponding cam profile and its prototype are shown. The second case presents the design of the motion function corresponding to the cutting unit of a manufacturing cardboard tube machine. The third case exposes the design of the displacement function of the bar feeding mechanism in a single-spindle automatic lathe, to produce a partial thread screw of hexagonal head.
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Enrique E. Zayas Figueras was born in Holguin, Cuba on October 1968. He is an Associate Professor in the Universitat Politècnica de Catalunya. He received the B.Sc. degree in Mechanical Engineering from University of Holguín in 1991, and the Ph.D. degree in Mechanical Engineering from Universitat Politècnica de Catalunya, Barcelona, in 2001. His current research interests are in the area of Mechanisms and Machine Theory–constant-breadth cam mechanism- and in the area of Theory and Methodology of Mechanical Design.
Salvador Cardona was born in Barcelona, on June 1951. He received his Ph.D. degree in Mechanical Engineering at Universitat Politècnica de Catalunya, Barcelona, Spain, in 1981. He is Full Professor of Mechanical Engineering Department of UPC since 1992. His research interests are in the area of mechanisms and machine theory, vibrations and signal analysis. His current research interests include the vibrations produced by railway traffic, residual vibrations of cranes, use of inertial measurement units–IMU–and dynamics of cam mechanisms.
Lluïsa Jordi Nebot received her Ph.D. degree in Physics Science at Technical University of Catalonia, Spain, in 1999. She became University Lecturer in 2002. She is working at Mechanical Engineering Department of UPC. Her research interests are in the area of Mechanisms and Machine theory–specially, constant- breadth cam mechanism and noncircular gears–and in the area of railway vibrations.
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Zayas, E., Cardona, S. & Jordi, L. Parameter selection in the design of displacement and motion functions by means of B-splines. J Mech Sci Technol 32, 2141–2153 (2018). https://doi.org/10.1007/s12206-018-0423-2
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DOI: https://doi.org/10.1007/s12206-018-0423-2