Dynamic Model of Epicyclic Gear Mechanism
| Autor: | Yi-Liang Lin, 林奕良 |
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| Rok vydání: | 1999 |
| Druh dokumentu: | 學位論文 ; thesis |
| Popis: | 87 In this thesis, a method is proposed to systematically establish dynamic equations of a parallel-shaft epicyclic gear mechanism (EGM) formed by an EGT and the casing of transmission gearbox. The kinematic of links is discussed. With coaxial re-arrangement of the canonical graph of EGM, the graph can be viewed as the combination of two-link chains. The establishment of coordinate systems of two-link chain by D-H convention is discussed and applied to the links of EGM. Then angular displacements, velocities, and accelerations of links can be obtained. The definition of relative gear mesh displacement and three mesh conditions are discussed. A general form of the relative gear mesh displacement described in carrier's coordinate system is presented. Force representation introduces the expressions of inertia forces, gear contact forces, and revolute join reaction force. By Euler approach, the general form of moment balance equation of a typical link along its rotational axis is presented. In the general form, the torque due to reaction forces and the torque due to gear contact forces are derived in terms of gear mesh stiffness, damping coefficient and relative gear mesh displacement. Thus all terms in the general form are derived and the dynamic equations of EGM can be obtained. The evaluation procedures to solve the dynamic equations are presented and the results are compared with the power-flow method. The natural frequencies of EGM are formulated in terms of limited parameters such as gear mesh stiffness and mass of links. By obtained natural frequencies and the general form of gear mesh frequencies, the performance evaluation of EGM can be done at the design stage. |
| Databáze: | Networked Digital Library of Theses & Dissertations |
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