Nonlinear Time-Varying Dynamic Analysis of a Multi-Mesh Spur Gear Train

Date

2016-01-28

Author

Yavuz, Siar Deniz
Saribay, Zihni Burcay
Ciğeroğlu, Ender

Metadata

Show full item record

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

Item Usage Stats

136
views

0
downloads

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 by using Harmonic Balance Method (HBM). The accuracy of the HBM solutions is demonstrated by comparing them to direct numerical integration solutions. Floquet theory is applied to determine the stability of the steady-state solutions. Two different loading conditions, where the system is driven by the middle gear and driven by one of the end gears, are considered. Phase difference between the two gear meshes is determined under each loading condition and natural modes are predicted for each loading condition. The forced response due to the combination of parametric excitation and static transmission error excitation is obtained and effects of loading conditions and asymmetric positioning on the response are explored.

Subject Keywords

Nonlinear gear dynamics, Multi-mesh spur gear train, Mesh phasing, Time-varying mesh stiffness, Multi-term harmonic balance method

URI

https://hdl.handle.net/11511/48767

DOI

https://doi.org/10.1007/978-3-319-29763-7_30

Collections

Department of Mechanical Engineering, Conference / Seminar

Suggestions

OpenMETU
Core

Nonlinear Dynamic Analysis of a Spiral Bevel Geared System Yavuz, Siar Deniz; Saribay, Zihni Burcay; Ciğeroğlu, Ender (2017-02-02) A nonlinear dynamic model of a spiral bevel gear train mounted on flexible shafts and bearings is proposed in this study. The finite element model of shafts is combined with a three-dimensional discrete mesh model of a spiral bevel gear pair. Bearing flexibilities are as well included in the model. Gear backlash is incorporated into the model in the form of clearance-type displacement functions and clearance nonlinearity and stiffness fluctuations of the bearings are neglected. A time-invariant mesh stiffne...
Nonlinear 3D Modeling and Vibration Analysis of Horizontal Drum Type Washing Machines Baykal, Cem; Ciğeroğlu, Ender; Yazıcıoğlu, Yiğit (2020-01-01) In this study, a nonlinear 3-D mathematical model for horizontal drum type washing machines is developed considering rotating unbalance type excitation. Nonlinear differential equations of motion are converted into a set of nonlinear algebraic equations by using Harmonic Balance Method (HBM). The resulting nonlinear algebraic equations are solved by using Newton’s method with arc-length continuation. Several case studies are performed in order to observe the effects of orientation angles of springs and damp...
Ideal tooth profile modifications for improving nonlinear dynamic response of planetary gear trains Ozturk, Veysel Yalin; Ciğeroğlu, Ender; Özgüven, Hasan Nevzat (2021-05-01) 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...
Nonlinear resonances of axially functionally graded beams rotating with varying speed including Coriolis effects Lotfan, Saeed; Anamagh, Mirmeysam Rafiei; Bediz, Bekir; Ciğeroğlu, Ender (2021-11-01) The purpose of the current study was to develop an accurate model to investigate the nonlinear resonances in an axially functionally graded beam rotating with time-dependent speed. To this end, two important features including stiffening and Coriolis effects are modeled based on nonlinear strain relations. Equations governing the axial, chordwise, and flapwise deformations about the determined steady-state equilibrium position are obtained, and the rotating speed variation is considered as a periodic distur...
Experimental investigation of axial load on low cycle fatigue performance of steel H-piles in integral bridges Dicleli, Murat (null; 2017-08-28) In this study, the effect of axial load on the low cycle fatigue performance of integral bridge steel H–piles is investigated. Review of literature revealed that there is no experimental research data on the effect of axial load on the low cycle fatigue performance of integral bridge steel H-piles. For this purpose, experimental studies on full scale steel H-pile specimens are conducted to simulate cyclic behavior of steel Hpiles under thermal effects in integral bridges by considering the effect of axial l...

Citation Formats

S. D. Yavuz, Z. B. Saribay, and E. Ciğeroğlu, “Nonlinear Time-Varying Dynamic Analysis of a Multi-Mesh Spur Gear Train,” 2016, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/48767.