Stiffness Calculation of Gear Hydraulic System Based on the Modeling of Nonlinear Dynamics Differential Equations in the Progressive Method

• Autores: Fuyi Cui, Yingxuan Wang
• Localización: Applied Mathematics and Nonlinear Sciences, ISSN-e 2444-8656, Vol. 8, Nº. 1, 2023, págs. 451-458
• Idioma: inglés
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• Resumen

  • The paper calculates the nonlinear dynamic differential equation model based on the stiffness of the gear teethand gives the calculation method of the spring stiffness of the transmission system. Choose the Lyapunov energyfunction and derive the adaptive law that can make the system asymptotically stable globally. At the same time, we discussed the influence of the phase combination of the coupling shaft's torsional stiffness and the gears' meshing stiffness in the multi-stage gear transmission system on the system dynamics. The example calculationshows that the asymptotic method has higher solution accuracy and higher calculation efficiency. This algorithmis a highly versatile analytical solution method.