In this thesis, the common ground, the similarity and the scope of application of the different constant velocity theories of universal joint, which are existent at the present time, were obtained by theoretical derivation, induction and summarization .It provided a base for the further research on the constant velocity theory.With the application of the mathematics tool——the direction cosine matrices.the kinematics analysis for the three fork rod universal joint with its output axle fixed with a self-aligning bearing had been performed. The conclusion that the three fork rod universal joint is a quasi-constant-velocity was derived. in the meantime, many numerical results were obtained and plotted, which were the preparation work for the latter simulation verification.With the three-dimensional drawing software Pro/E as drawing tool and with the dynamic analysis software ADAMS and the FEA (Finite Element Analysis) software ANSYS as the simulation and analysis tool ,the coalition simulation was performed with the aid of the interface of the three kinds of software. Firstly, the kinematics simulation for the cardan universal coupling was performed. The availability and correctness of the software ADAMS were verified. On the basis of these, the simulation analysis for the RPSPR constant velocity linkage mechanism.
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