Research Papers: Mechanisms and Robotics

Burmester and Allievi: A Theory and Its Application for Mechanism Design at the End of 19th Century

[+] Author and Article Information
Marco Ceccarelli

LARM, DiMSAT, University of Cassino, Via Di Biasio 43, 03043 Cassino, Italyceccarelli@unicas.it

Teun Koetsier

Department of Mathematics, Vrije Universiteit, De Boelelaan 1081, NL-1081HV Amsterdam, The Netherlandst.koetsier@few.vu.nl

J. Mech. Des 130(7), 072301 (May 19, 2008) (16 pages) doi:10.1115/1.2918911 History: Received March 15, 2007; Revised July 23, 2007; Published May 19, 2008

The second half of 19th century can be considered as the Golden Age of TMM for the achieved theoretical and practical results that led to enhancements of machinery during the second Industrial Revolution. Burmester and Allievi can be considered as significant examples of that time for their personalities and careers as well as for their work on kinematics of mechanisms. In this paper, a survey is presented on their curricula and main scientific works on mechanism design with the aim also to stress similarities and differences in the life of kinematicians and in developments in mechanism design at the end of 19th century.

Copyright © 2008 by American Society of Mechanical Engineers
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Figure 1

Ludwig Burmester (1840–1927)

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Figure 2

Figures from Burmester’s book (25): (a) lines of equal light intensity on surfaces; (b) a shadow representation

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Figure 3

Lorenzo Allievi (1856–1941)

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Figure 4

Schemes of pylons in the thesis for Engineer degree by Lorenzo Allievi (Courtesy of Mirta Lancellotti)

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Figure 5

Lorenzo Allievi with his grandchild Anne Marie in Rome during her celebration for the first communion on Sept. 3, 1929 (Courtesy of Mirta Lancellotti)

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Figure 6

The marble plaque acknowledging Allievi’s contributions on the water hammer at Papigno plant in Terni

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Figure 7

Title page of Burmester’s Lehrbuch der Kinematik (1)

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Figure 8

Figures accompanying Burmester’s seventh chapter on compound planar mechanisms (2)

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Figure 9

Figures accompanying the treatment of the Burmester theory in the ninth chapter of Lehrbuch der Kinematik (2). The curve σ in Fig. 634 is the centre point curve. In Fig. 638, σ consists of the line at infinity and a hyperbola.

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Figure 10

Title page of treatise Cinematica della biella piana by Lorenzo Allievi in 1895 (3)

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Figure 11

Table summarizing stationary singularities in planar coupler curves from Allievi’s treatise (3)

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Figure 12

Six elementary mechanisms for generation of planar coupler curves as from Figs. 10–13 in Allievi’s treatise (3)

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Figure 13

Graphical representation of characteristics of points of inflection and cusp circles as from Fig. 27 in Allievi’s treatise (3)

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Figure 14

Graphical interpretations of coefficients in the cubic of stationary curvature from Fig. 22 in Allievis’ treatise (3)

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Figure 15

An example of detailed design solutions for guide mechanisms from Fig. 89 in Allievi’s treatise (3)

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Figure 16

Schemes and solutions for designing approximate straight-line mechanism with Watt coupler curve from Allievi’s treatise (3)

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Figure 17

A scheme for designing approximate straight-line mechanism with Watt coupler curve from Burmester’s treatise, (2): (a) the whole drawing; (b) a zoomed view



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