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Kinematic Analysis of Spatial Geared Mechanisms

Penaud, Julie and Alazard, Daniel and Amiez, Alexandre Kinematic Analysis of Spatial Geared Mechanisms. (2012) Journal of Mechanical Design, 134 (2). 21009 -21014. ISSN 1050-0472

(Document in English)

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Official URL: http://dx.doi.org/10.1115/1.4005596


In this paper, a general method for kinematic analysis of complex gear mechanisms, including bevel gear trains and non-collinear input and output axes, is presented. This new approach is based on the null-space of the kinematic constraint matrix computed from the mechanism graph or its adjacency matrix. The novelty is that the elements of the adjacency matrix are weighted with complex coefficients allowing bevel gears to be taken into account and the angular velocity of each link to be directly expressed using polar coordinates. This approach is illustrated on a two-degree-of-freedom car differential and applied to a helicopter main gear box. A MATLAB open source software was developed to implement this method.

Item Type:Article
Audience (journal):International peer-reviewed journal
Uncontrolled Keywords:
Institution:Université de Toulouse > Institut Supérieur de l'Aéronautique et de l'Espace - ISAE-SUPAERO (FRANCE)
French research institutions > Office National d'Etudes et Recherches Aérospatiales - ONERA (FRANCE)
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Deposited On:07 Jan 2013 16:02

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