Modeling of multi-mesh gear dynamic analysis based on pseudo-interference stiffness estimation

Date of Completion

January 1997


Engineering, Mechanical




Modern trends of gear design require higher speed and efficiency along with greater reliability and power density. Furthermore, less vibration and noise, and less gear system weight and volume, are increasingly importance factors. The proposed research represents contributions in developing rigorous methods for analyzing, predicting and optimizing the static and dynamic characteristics of gear systems. The generation of gear geometry is greatly affected by the complexity of the tooth form whereas analytical procedures commonly become intractable because of their complexity. A user friendly interface is developed to generate gear geometry and construct the finite element mesh as a pre-processor. The characteristics of the gear contact are analyzed from the behavior of the gear tooth contact. The variation of mesh stiffness is one important factor causing transmission error. To accurately predict the running time in the Finite Element Method (FEM) and to improve the accuracy, simplicity and integrity of the gear factors. The Pseudo-Interference Stiffness Estimation (PISE) method draws upon the finite element analysis method to analyze non-linear, geometric based characteristics of the local contact region. The PISE method is directly applied to the parametric and the dynamic analysis of gear systems. For the dynamic analysis, a rigid body in the arbitrary space is expressed by three dimensional Euler's equations of motion. These equations of motion are numerically integrated for each component to calculate the system configuration for the next time step. The fourth order multi-step Adams numerical integration is used to integrate the non-linear transient differential equations. The Pseudo-Interference Stiffness Estimation method is utilized for contact force between two bodies. The dynamic multi-mesh gear contact model will be analyzed for dynamic factors such as dynamic behaviors, static and dynamic loads, deformations, contact stresses, and vibration characteristics. This will be done in shorter, faster, and more economical way as far as computer and designer time are concerned. ^