Ideal tooth profile modifications for improving nonlinear dynamic response of planetary gear trains

Date

2021-05-01

Author

Ozturk, Veysel Yalin
Ciğeroğlu, Ender
Özgüven, Hasan Nevzat

Metadata

Show full item record

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Item Usage Stats

209
views

0
downloads

The ultimate goal in this study is to investigate the effects of tooth profile modifications (TPMs) on PGTs by performing parametric studies. For this purpose, firstly a nonlinear planetary gear dynamics model with time-varying stiffness is introduced. A time-varying stiffness function is included into the analysis by using loaded static transmission error (LSTE) for sun-planet and ring-planet gear meshes. In this analysis the computationally calculated values of LSTE are used; however, if an experimentally measured LSTE can be used, it will include all gear errors that exist in the gear pair, as well as time-varying mesh stiffness. Therefore, when this method is used with experimentally measured LSTE for dynamic modeling of planetary gear trains, one does not require any additional computational tool to estimate the time-varying mesh stiffness parameter. A drive-train simulation tool (Transmission3D), which combines analytical contact mechanics solutions with FE effectively, is used for verification purposes. The validity of the proposed model is shown by comparisons of the dynamic response of the proposed model with the response obtained through Transmission3D on an example PGT. A wide frequency range is selected to cover superharmonics of the natural frequencies in order to verify the accuracy of the dynamic model for speed ranges lower than the natural frequencies of the system, which are often encountered in practical applications. Harmonic balance method (HBM) is used to obtain the nonlinear algebraic equations of motion in frequency domain, which are solved by using Newton's method with arc length continuation. Parametric studies are performed by employing the mathematical model suggested important outcomes for application of TPMs in PGTs. The relationships between the distinct modal characteristics of PGTs and effectivity of TPMs are investigated in detail, leading to interesting outcomes. Moreover, different sensitivity characteristics are observed for linear and parabolic modification schemes. These outcomes; along with further evaluations on other aspects of design such as load intervals during operation, manufacturing tolerances, wear on gears, etc.; can be used in design guidelines for PGTs. (C) 2021 Elsevier Ltd. All rights reserved.

Subject Keywords

Nonlinear gear dynamics, Planetary gear trains, Tooth profile modifications, Time-varying mesh stiffness

URI

https://hdl.handle.net/11511/90348

Journal

JOURNAL OF SOUND AND VIBRATION

DOI

https://doi.org/10.1016/j.jsv.2021.116007

Collections

Department of Mechanical Engineering, Article

Suggestions

OpenMETU
Core

Optimization of Tooth Bending Fatigue Characteristics of Spur Gear Pairs using a Gear Dynamics based Approach ÖZTÜRK, YALIN; Ciğeroğlu, Ender; Özgüven, Hasan Nevzat (2015-08-05) A gear tooth profile optimization study is performed with the target being defined as the maximization of tooth bending fatigue life for a selected operational range, where the operating torque and speed ranges are defined along with their corresponding durations. For this purpose, a nonlinear lumped gear dynamics model is combined with the S/N curve of the gear material in order to estimate tooth bending fatigue life of the spur gear pair. The differences between the predicted lives of the optimally modifi...
Nonlinear Time-Varying Dynamic Analysis of a Multi-Mesh Spur Gear Train Yavuz, Siar Deniz; Saribay, Zihni Burcay; Ciğeroğlu, Ender (2016-01-28) The nonlinear dynamics of a multi-mesh spur gear train is considered in this study. The gear train consists of three spur gears, with one of the gears in mesh with the other two. Dynamic model includes gear backlash in the form of clearance-type displacement functions and time variation of gear mesh stiffness. The system is reduced to a two-degree-of-freedom definite model by using the relative gear mesh displacements as the coordinates. The equations of motion are solved for periodic steady-state response ...
Development of test structures and methods for characterization of MEMS materials Yıldırım, Ender; Arıkan, Mehmet Ali Sahir; Department of Mechanical Engineering (2005) This study concerns with the testing methods for mechanical characterization at micron scale. The need for the study arises from the fact that the mechanical properties of materials at micron scale differ compared to their bulk counterparts, depending on the microfabrication method involved. Various test structures are designed according to the criteria specified in this thesis, and tested for this purpose in micron scale. Static and fatigue properties of the materials are aimed to be extracted through the ...
Evaluation of the Performance Limit States of Reinforced Concrete Columns in View of Experimental Observations Acun, Bora; Sucuoğlu, Haluk (2011-07-01) In this study, twelve full-scale column specimens designed for pure flexure were tested under repetitive displacement cycles with high amplitude. Two typical column designs were employed in the production of samples representing sub-standard and code-conforming columns, respectively. The main variable in the experiments was the histories of the imposed displacement amplitudes. The deformation-based performance limits proposed by Eurocode 8, ASCE/SEI 41 and Turkish Seismic Code (TDY-2007) for sub-standard co...
Investigations on bulk glass forming ability of titanium based multicomponent alloys Süer, Sıla; Mekhrabov, Amdulla O.; Department of Metallurgical and Materials Engineering (2008) The aim of this study is to investigate the bulk glass forming ability (BGFA) of Ti-based alloy systems. These investigations were carried out in two main parts that are complementary to each other: theoretical and experimental. For theoretical studies, which are based on electronic theory of alloys in pseudopotential approximation, Ti-Zr, Ti-Co and Ti-Cu alloys were chosen as the binary systems. Alloying element additions were performed to each binary for the investigation of the BGFA of multicomponent Ti-...

Citation Formats

V. Y. Ozturk, E. Ciğeroğlu, and H. N. Özgüven, “Ideal tooth profile modifications for improving nonlinear dynamic response of planetary gear trains,” JOURNAL OF SOUND AND VIBRATION, pp. 0–0, 2021, Accessed: 00, 2021. [Online]. Available: https://hdl.handle.net/11511/90348.