Computational prediction of structure-borne noise in a two-stage double-helical gearbox using harmonic balance method

[1]  S. Marburg,et al.  Experimental measurement and numerical computation of parametric instabilities in a planetary gearbox , 2022, Journal of Sound and Vibration.

[2]  S. Marburg,et al.  Quantitative prediction of rattle noise: An experimentally validated approach using the harmonic balance method , 2022, Mechanical Systems and Signal Processing.

[3]  Jorge H.O. Seabra,et al.  Mesh stiffness models for cylindrical gears: A detailed review , 2021 .

[4]  Chan I. L. Park.  Transfer matrix of parametric excited system for noise and vibration analyses of helical gear system , 2021, Journal of Mechanical Science and Technology.

[5]  Shuanghe Yu,et al.  Acoustic-vibration analysis of the gear-bearing-housing coupled system , 2021, Applied Acoustics.

[6]  Michael Heider,et al.  A hybrid analytical-numerical method based on Isogeometric Analysis for determination of time varying gear mesh stiffness , 2021 .

[7]  Hao Dong,et al.  Nonlinear Frequency Response Analysis of Double-helical Gear Pair Based on the Incremental Harmonic Balance Method , 2021 .

[8]  Christian Frey,et al.  Development of a Fully-Coupled Harmonic Balance Method and a Refined Energy Method for the Computation of Flutter-Induced Limit Cycle Oscillations of Bladed Disks with Nonlinear Friction Contacts , 2021, Journal of Fluids and Structures.

[9]  A. Kahraman,et al.  A Transient Mixed Elastohydrodynamic Lubrication Model for Helical Gear Contacts , 2021 .

[10]  Jörg Wallaschek,et al.  On the computation of the slow dynamics of nonlinear modes of mechanical systems , 2020, ArXiv.

[11]  P. Velex,et al.  On contact deflection and stiffness in spur and helical gears , 2020 .

[12]  S. Marburg,et al.  Uncertainty Quantification in Vibroacoustic Analysis of a Vehicle Body Using Generalized Polynomial Chaos Expansion , 2020 .

[13]  Steffen Marburg,et al.  Squeak Noise Prediction of a Door Trim Panel Using Harmonic Balance Method , 2020 .

[14]  A. Kahraman,et al.  An Experimental and Theoretical Study of Quasi-Static Behavior of Double-Helical Gear Sets , 2020 .

[15]  Dongil Shin,et al.  Nonlinear analysis of a geared rotor system supported by fluid film journal bearings , 2020, Journal of Sound and Vibration.

[16]  Liqun Chen,et al.  Parametric Influence on Energy Harvesting of Magnetic Levitation Using Harmonic Balance Method , 2019, Journal of Vibration Engineering & Technologies.

[17]  Robert G. Parker,et al.  An Efficient Hybrid Analytical-Computational Method for Nonlinear Vibration of Spur Gear Pairs , 2018, Journal of Vibration and Acoustics.

[18]  Ernesto Rocca,et al.  Experimental vibro-acoustic analysis of the gear rattle induced by multi-harmonic excitation , 2018 .

[19]  Steffen Marburg,et al.  More Than Six Elements Per Wavelength: The Practical Use of Structural Finite Element Models and Their Accuracy in Comparison with Experimental Results , 2017 .

[20]  Robert G. Parker,et al.  Gear tooth mesh stiffness: A comparison of calculation approaches , 2016 .

[21]  Tianning Chen,et al.  Non-linear dynamics of gear pair with dynamic backlash subjected to combined internal and external periodic excitations , 2016 .

[22]  Bangchun Wen,et al.  Evaluation of optimum profile modification curves of profile shifted spur gears based on vibration responses , 2016 .

[23]  Jinyuan Tang,et al.  Rotordynamics analysis of a double-helical gear transmission system , 2016 .

[24]  Malte Krack,et al.  Nonlinear modal analysis of nonconservative systems , 2015, 2101.00949.

[25]  Geng Liu,et al.  A robust model for determining the mesh stiffness of cylindrical gears , 2015 .

[26]  Shijing Wu,et al.  Harmonic balance method implementation of nonlinear dynamic characteristics for compound planetary gear sets , 2015 .

[27]  Robert G. Parker,et al.  Vibro-acoustic propagation of gear dynamics in a gear-bearing-housing system , 2014 .

[28]  Hui Ma,et al.  Dynamic analysis of three-dimensional helical geared rotor system with geometric eccentricity , 2013 .

[29]  Zaigang Chen,et al.  Mesh stiffness calculation of a spur gear pair with tooth profile modification and tooth root crack , 2013 .

[30]  P. Velex.  On the modelling of spur and helical gear dynamic behaviour , 2012, 1204.2636.

[31]  Jean-Jacques Sinou,et al.  Non-Linear Periodic and Quasi-Periodic Vibrations in Mechanical Systems - On the use of the Harmonic Balance Methods , 2011 .

[32]  Robert G. Parker,et al.  A Frequency Domain Finite Element Approach for Three-Dimensional Gear Dynamics , 2011 .

[33]  Steffen Marburg,et al.  Estimation of Radiated Sound Power: A Case Study on Common Approximation Methods , 2009 .

[34]  Jean-Jacques Sinou,et al.  Non-linear dynamics and contacts of an unbalanced flexible rotor supported on ball bearings , 2009 .

[35]  Philip Bonello,et al.  A receptance harmonic balance technique for the computation of the vibration of a whole aero-engine model with nonlinear bearings , 2009 .

[36]  R. Parker,et al.  Nonlinear dynamics of idler gear systems , 2008 .

[37]  Song He,et al.  Effect of sliding friction on gear noise based on a refined vibro-acoustic formulation , 2008 .

[38]  Mikhail Guskov,et al.  Multi-Dimensional Harmonic Balance Applied to Rotor Dynamics , 2008 .

[39]  Robert G. Parker,et al.  Nonlinear Dynamics of Planetary Gears Using Analytical and Finite Element Models , 2007 .

[40]  Shaopu Yang,et al.  Nonlinear dynamics of a spur gear pair with time-varying stiffness and backlash based on incremental harmonic balance method , 2006 .

[41]  A. Al-shyyaba,et al.  Non-linear dynamic analysis of a multi-mesh gear train using multi-term harmonic balance method : period-one motions , 2005 .

[42]  OMIDREZA EBRAT,et al.  Calculation of Journal Bearing Dynamic Characteristics Including Journal Misalignment and Bearing Structural Deformation© , 2004 .

[43]  Tao Sun,et al.  Nonlinear dynamics of a planetary gear system with multiple clearances , 2003 .

[44]  Noel C. Perkins,et al.  Harmonic balance/Galerkin method for non-smooth dynamic systems , 2003 .

[45]  Yehia A. Khulief,et al.  Shape functions of three-dimensional Timoshenko beam element , 2003 .

[46]  Jeffrey P. Thomas,et al.  Computation of Unsteady Nonlinear Flows in Cascades Using a Harmonic Balance Technique , 2002 .

[47]  Barbara I. Wohlmuth,et al.  A Mortar Finite Element Method Using Dual Spaces for the Lagrange Multiplier , 2000, SIAM J. Numer. Anal..

[48]  P. Velex,et al.  Dynamic Response of Planetary Trains to Mesh Parametric Excitations , 1996 .

[49]  Tjalling J. Ypma,et al.  Historical Development of the Newton-Raphson Method , 1995, SIAM Rev..

[50]  C. Bernardi,et al.  A New Nonconforming Approach to Domain Decomposition : The Mortar Element Method , 1994 .

[51]  Jintai Chung,et al.  A Time Integration Algorithm for Structural Dynamics With Improved Numerical Dissipation: The Generalized-α Method , 1993 .

[52]  Rajendra Singh,et al.  Interactions between time-varying mesh stiffness and clearance non-linearities in a geared system , 1991 .

[53]  M. Steer,et al.  Nonlinear circuit analysis using the method of harmonic balance—A review of the art. Part I. Introductory concepts , 1991 .

[54]  Rajendra Singh,et al.  Analysis of automotive neutral grear rattle , 1989 .

[55]  J. Griffin,et al.  An Alternating Frequency/Time Domain Method for Calculating the Steady-State Response of Nonlinear Dynamic Systems , 1989 .

[56]  J. W. Lund,et al.  Review of the Concept of Dynamic Coefficients for Fluid Film Journal Bearings , 1987 .

[57]  H. D. Nelson,et al.  A Conical Beam Finite Element for Rotor Dynamics Analysis , 1985 .

[58]  M. Géradin,et al.  A new approach to finite element modelling of flexible rotors , 1984 .

[59]  H. Elrod.  A Cavitation Algorithm , 1981 .

[60]  H. D. Nelson.  A Finite Rotating Shaft Element Using Timoshenko Beam Theory , 1980 .

[61]  D. W. Parkins,et al.  Theoretical and Experimental Determination of the Dynamic Characteristics of a Hydrodynamic Journal Bearing , 1979 .

[62]  A. Seireg,et al.  Simulation of Resonances and Instability Conditions in Pinion-Gear Systems , 1978 .

[63]  J. S. Rao,et al.  Stiffness and damping coefficients of an inclined journal bearing , 1977 .

[64]  H. D. Nelson,et al.  The Dynamics of Rotor-Bearing Systems Using Finite Elements , 1976 .

[65]  A. Seireg,et al.  A Mathematical Programming Technique for the Evaluation of Load Distribution and Optimal Modifications for Gear Systems , 1973 .

[66]  D. W. Scharpf,et al.  Finite element formulation of the incompressible lubrication problem , 1970 .

[67]  M. M. Reddi.  Finite-Element Solution of the Incompressible Lubrication Problem , 1969 .

[68]  M. Bampton,et al.  Coupling of substructures for dynamic analyses. , 1968 .

[69]  G. Cowper.  The Shear Coefficient in Timoshenko’s Beam Theory , 1966 .

[70]  W. Hurty.  Dynamic Analysis of Structural Systems Using Component Modes , 1965 .

[71]  R. Guyan.  Reduction of stiffness and mass matrices , 1965 .

[72]  A. Love.  I. The small free vibrations and deformation of a thin elastic shell , 1888, Proceedings of the Royal Society of London.

[73]  O. Reynolds.  I. On the theory of lubrication and its application to Mr. Beauchamp tower’s experiments, including an experimental determination of the viscosity of olive oil , 1886, Proceedings of the Royal Society of London.