Research Papers

Enumeration, Kinematic, Static and Mechanical Efficiency Analysis of Differential Screw Mechanisms

[+] Author and Article Information
G. Ciccioli, P. P. Valentini

Dipartimento di Ingegneria Meccanica, Università di Roma tor Vergata, Via del Politecnico 1, Roma 00133, Italy

E. Pennestrì

Dipartimento di Ingegneria Meccanica, Università di Roma tor Vergata, Via del Politecnico 1, Roma 00133, Italypennestri@mec.uniroma2.it

J. Mechanisms Robotics 1(3), 031008 (Jul 14, 2009) (8 pages) doi:10.1115/1.3147188 History: Received June 06, 2008; Revised January 08, 2009; Published July 14, 2009

Although differential screw mechanisms are widely used in precision mechanisms to control fine relative movements, their enumeration and systematic methods of analysis seem less widespread. In this paper methods to support the preliminary design steps of these devices are proposed. In particular, has been proposed an enumeration algorithm of screw mechanisms. This method makes use of kinematic structure relationships deduced by Kraus (1951, Getriebelehre, Verlag Technik, Berlin; 1952, Gründlagen des Systematischen Getriebeaufbaus, Verlag Technik, Berlin). Kinematic and static analyses of differential screw mechanisms are described mainly in the German technical literature. However, such analyses are based on graphical constructions. In the paper graph-based analytical methods of kinematic, static and mechanical efficiency analyses are proposed. Examples of application of the suggested methods are offered.

Copyright © 2009 by American Society of Mechanical Engineers
Topics: Screws , Chain , Mechanisms
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Figure 7

Kinematic chains PPSSR of 1DOF four link mechanisms

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Figure 8

Five links kinematic chains PPSSSR 2DOF

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Figure 9

Algebraic sign convention

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Figure 10

Differential screw mechanism and its graph

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Figure 11

Differential screw mechanism and its graph (after Ref. 2)

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Figure 1

Kinematic structure of a Roman epoch screw press for squeezing grape berries

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Figure 2

Differential screw mechanisms (Leonardo da Vinci, Madrid codex)

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Figure 3

Experimental setup for testing the statics of the screw (Leonardo da Vinci, Madrid codex)

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Figure 4

Graphs of mechanisms

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Figure 5

Flow chart of the enumeration program

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Figure 6

Structural shape of kinematic elements in kinematic chains with screw, revolute, and prismatic pairs (adapted from Ref. 5)

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Figure 13

Free-body diagrams of the differential screw

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Figure 14

Free-body diagrams of a differential screw




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