Kinematic Analysis of Spatial Geared Mechanisms | Zendy

Julie Penaud | Zendy; Daniel Alazard | Zendy; Alexandre Amiez | Zendy

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Kinematic Analysis of Spatial Geared Mechanisms

Author(s) -

Julie Penaud,

Daniel Alazard,

Alexandre Amiez

Publication year - 2012

Publication title -

journal of mechanical design

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.911

H-Index - 120

eISSN - 1528-9001

pISSN - 1050-0472

DOI - 10.1115/1.4005596

Subject(s) - kinematics , bevel gear , adjacency matrix , gear train , differential (mechanical device) , computer science , constraint (computer aided design) , graph , control theory (sociology) , mathematics , geometry , engineering , artificial intelligence , theoretical computer science , physics , mechanical engineering , classical mechanics , backlash , aerospace engineering , control (management)

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

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