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The Kinematics Analysis of a Novel 3-DOF Cable-Driven Wind Tunnel Mechanism
Author(s) -
Yao Yu,
Hongtao Wu
Publication year - 2010
Publication title -
journal of robotics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.303
H-Index - 14
eISSN - 1687-9619
pISSN - 1687-9600
DOI - 10.1155/2010/609391
Subject(s) - kinematics , mechanism (biology) , forward kinematics , computer science , euler angles , inverse kinematics , quadratic equation , control theory (sociology) , polynomial , variable (mathematics) , transformation matrix , kinematics equations , position (finance) , matrix (chemical analysis) , transformation (genetics) , mathematics , mathematical analysis , classical mechanics , geometry , physics , robot kinematics , artificial intelligence , materials science , chemistry , robot , composite material , biochemistry , control (management) , quantum mechanics , mobile robot , gene , finance , economics
The kinematics analysis method of a novel 3-DOF wind tunnel mechanism based on cable-driven parallel mechanism is provided. Rodrigues' parameters are applied to express the transformation matrix of the wire-driven mechanism in the paper. The analytical forward kinematics model is described as three quadratic equations using three Rodridgues' parameters based on the fundamental theory of parallel mechanism. Elimination method is used to remove two of the variables, so that an eighth-order polynomial with one variable is derived. From the equation, the eight sets of Rodridgues' parameters and corresponding Euler angles for the forward kinematical problem can be obtained. In the end, numerical example of both forward and inverse kinematics is included to demonstrate the presented forward-kinematics solution method. The numerical results show that the method for the position analysis of this mechanism is effective

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