<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>The paper calculates the nonlinear dynamic differential equation model based on the stiffness of the gear teeth and gives the calculation method of the spring stiffness of the transmission system. Choose the Lyapunov energy function 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 calculation shows that the asymptotic method has higher solution accuracy and higher calculation efficiency. This algorithm is a highly versatile analytical solution method.</p>
</abstract>

The paper calculates the nonlinear dynamic differential equation model based on the stiffness of the gear teeth and gives the calculation method of the spring stiffness of the transmission system. Choose the Lyapunov energy function 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 calculation shows that the asymptotic method has higher solution accuracy and higher calculation efficiency. This algorithm is a highly versatile analytical solution method.

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

Applied Mathematics and Nonlinear Sciences

This work is licensed under the Creative Commons Attribution 4.0 International License.

The paper calculates the nonlinear dynamic differential equation model based on the stiffness of the gear teeth and gives the calculation method of the spring...

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

Published Online: Jul 15, 2022

Page range: 451 - 458

Received: Jan 06, 2022

Accepted: Mar 14, 2022

DOI: https://doi.org/10.2478/amns.2022.2.00028

Keywords
Progressive method, Gear system, Nonlinear dynamics differential equation, Gear stiffness

© 2023 Fuyi Cui et al., published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

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

Published Online: Jul 15, 2022

Page range: 451 - 458

Received: Jan 06, 2022

Accepted: Mar 14, 2022

DOI: https://doi.org/10.2478/amns.2022.2.00028

KeywordsProgressive method, Gear system, Nonlinear dynamics differential equation, Gear stiffness

© 2023 Fuyi Cui et al., published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

Keywords
Progressive method, Gear system, Nonlinear dynamics differential equation, Gear stiffness