Abstract
The mechanism synthesis concerning pure numerical methods can only be realized below given boundaries — and this because of the high power of the system equations. For some time the author has been using graphical methods to pass those boundaries concerning multilink mechanisms. By means of the ‘Drawing-Following Method’ developed by the author, simple but highly accurate computer programs are now available. As a fundamental rule, ‘reductions’ are used by the coincidences of several poles. Additionally, the new methods are based on the first deviation of correlation of point positions and relative angles, i.e. by the use of the momentary velocity ratios. By this the torque and force relationships are also immediately given.
Sommario
La sintesi dei meccanismi inegualmente moltiplicanti é possibile sulla base di metodi numerici solo sotto dati confini, a causa dell' alto grado delle equazioni di determinazione. Alcuni metodi grafici per meccanismi di piú membri di qualsiasi numero oltrepassando questi confini venivano presentati dall'autore molto tempo fa. Con l'aiuto del “Zeichnungsfolge-Rechenmethode” (metodo di calcolo che segue la rappresentazione grafica), auch'esso sviluppato dall'autore, programmi di calcolo semplici possono essere scritti che producono dei risultati con una offima precisione. Le “reduzioni”, cioé la coincidenza di parecchi poli di velocitá, formano la base di questa procedura. In questo artivolo l'uso della prima derivata delle posizioni dei membri é nuovo: In questo modo le relazioni delle velocitá momentanee, delle forze e dei momenti sono registrati allo stesse tempo.
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This paper is a renewed part of a series of lectures given by the author between 25 and 28 September 1972 at the International Centre for Mechanical Sciences, Udine, Italy. The lectures were entitled ‘Theory of mechanisms, dimensional synthesis of linkages by geometrical and graphical methods’ (10 lecture hours). In the meantime those lectures have been computer programmed using the so-called ‘Drawing-Following Method’ developed by the author.
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Hain, K. Designing multi-link function mechanisms by passing conventional boundaries. Meccanica 28, 277–280 (1993). https://doi.org/10.1007/BF00987163
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DOI: https://doi.org/10.1007/BF00987163