In this work we present a novel method for the solution of gear contact problems in flexible multibody. These problems are characterized by significant variation in the location and size of the contact area, typically requiring a high number of degrees of freedom to correctly capture deformation and stress fields. Therefore fully dynamic simulation is computationally prohibitive. To overcome these limitations, we exploit a combined analytic-numerical contact model within a Parametric Model Order Reduction (PMOR) scheme. The reduction space consists of a truncated set of eigenvectors augmented with a parameter dependent set of residual static shape vectors. Each static shape is computed by interpolating among a set of displacement modes of the interacting bodies, obtained from a series of precomputed static contact analyses. During the contact analyses, an analytic model based on the Hertz theory describes the teeth local deformation. We implement the proposed method in an in-house code and we apply it to spur and helical gears dynamic contact analyses. We compare the results with classical PMOR schemes highlighting how the combined use of the semianalytic contact model allows to decrease further the model complexity as well as the computational burden, for both static and dynamic cases. Finally, we validate the methodology by means of a comparison with experimental data found in literature, showing that the numerical method is able to capture quantitatively the static transmission error measurements in case of both helical and spur geared transmission for different torque levels.
This paper describes the effect of gear blank topology on the gear meshing stiffness and consequently on the dynamic loads in gear transmissions. The characteristics of these forces, especially their frequency content, will determine the NVH and durability properties of the entire transmission. To assess the level of induced vibrations and the acoustic radiation from the transmission housing, it is important to properly model the excitation mechanism originating from the meshing gears. Several authors have proposed semi-empirical formulas [1–3] to compute the meshing stiffness, however most of them assume a solid gear blank and provide some correction factors in case of thin rims and webs [4]. Nevertheless current trends in transmission design also include extreme measures to reduce the gear weight that have an influence of the meshing stiffness that cannot be fully captured with the abovementioned methodologies. This papers proposes a methodology to model this phenomenon and shows by means of a numerical example that lightweight flexible gear blanks have a non-negligible effect on meshing forces.
In this paper we present a novel method to efficiently solve gear contact simulations in a flexible multi-body environment. Semi-analytical contact approaches have been recently used in Finite Element (FE) simulations for describing the displacement field in the contact zone and eliminating the need for highly refined FE meshes. In the proposed method, we integrate a semi-analytic strategy with a Model Order Reduction (MOR) scheme, which allows us to decrease further the reduced order model complexity as well as the computational burden. We validate the method against state-of-the-art MOR techniques, for both static and dynamic gear contact problems. Finally the results show how the presented method is able to more efficiently capture quantitatively the transmission error in case of spur geared transmission for different torque levels.
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.
hi@scite.ai
10624 S. Eastern Ave., Ste. A-614
Henderson, NV 89052, USA
Copyright © 2024 scite LLC. All rights reserved.
Made with 💙 for researchers
Part of the Research Solutions Family.