All Stories

  1. Eigenvalue sensitivity and veering in gyroscopic systems with application to high-speed planetary gears

    Article • European Journal of Mechanics - A/Solids, January 2018, Elsevier

    Professor Robert G Parker

  2. Gear tooth mesh stiffness: A comparison of calculation approaches

    Article • Mechanism and Machine Theory, November 2016, Elsevier

    Professor Robert G Parker

  3. Dynamic tooth root strains and experimental correlations in spur gear pairs

    Article • Mechanism and Machine Theory, July 2016, Elsevier

    Professor Robert G Parker

  4. Limitations of an inextensible model for the vibration of high-speed rotating elastic rings with attached space-fixed discrete stiffnesses

    Article • European Journal of Mechanics - A/Solids, November 2015, Elsevier

    Professor Robert G Parker

  5. Vibration mode structure and simplified modelling of cyclically symmetric or rotationally periodic systems

    Article • Proceedings of the Royal Society A Mathematical Physical and Engineering Sciences, December 2014, Royal Society Publishing

    Professor Robert G Parker

  6. Vibro-acoustic propagation of gear dynamics in a gear-bearing-housing system

    Article • Journal of Sound and Vibration, October 2014, Elsevier

    Professor Robert G Parker

  7. Nonlinear dynamics and stability of wind turbine planetary gear sets under gravity effects

    Article • European Journal of Mechanics - A/Solids, September 2014, Elsevier

    Professor Robert G Parker

  8. Analytical determination of back-side contact gear mesh stiffness

    Article • Mechanism and Machine Theory, August 2014, Elsevier

    Professor Robert G Parker

  9. A Review of Planetary and Epicyclic Gear Dynamics and Vibrations Research

    Article • Applied Mechanics Reviews, June 2014, ASME International

    Professor Robert G Parker

  10. Circulant Matrices and Their Application to Vibration Analysis

    Article • Applied Mechanics Reviews, June 2014, ASME International

    Professor Robert G Parker

  11. Vibration of high-speed rotating rings coupled to space-fixed stiffnesses

    Article • Journal of Sound and Vibration, June 2014, Elsevier

    Professor Robert G Parker

  12. Experimental measurement of the effects of torque on the dynamic behavior and system parameters of planetary gears

    Article • Mechanism and Machine Theory, April 2014, Elsevier

    Professor Robert G Parker

  13. Vibration of Spinning Cantilever Beams With an Attached Rigid Body Undergoing Bending-Bending-Torsional-Axial Motions

    Article • Journal of Applied Mechanics, December 2013, ASME International

    Professor Robert G Parker

  14. Analytical investigation of tooth profile modification effects on planetary gear dynamics

    Article • Mechanism and Machine Theory, December 2013, Elsevier

    Professor Robert G Parker

  15. Vibration Modes and Natural Frequency Veering in Three-Dimensional, Cyclically Symmetric Centrifugal Pendulum Vibration Absorber Systems

    Article • Journal of Vibration and Acoustics, November 2013, ASME International

    Professor Robert G Parker

  16. The geometry and frequency content of planetary gear single-mode vibration

    Article • Mechanical Systems and Signal Processing, October 2013, Elsevier

    Professor Robert G Parker

  17. Modal structure of centrifugal pendulum vibration absorber systems with multiple cyclically symmetric groups of absorbers

    Article • Journal of Sound and Vibration, September 2013, Elsevier

    Professor Robert G Parker

  18. Optimization of an acoustic rectifier for uni-directional wave propagation in periodic mass–spring lattices

    Article • Journal of Sound and Vibration, September 2013, Elsevier

    Professor Robert G Parker

  19. Global “Eclipse” Bifurcation in a Twinkling Oscillator

    Article • August 2013, ASME International

    Professor Robert G Parker

  20. Comparing LQG/LTR and the SDRE Techniques for Hybrid Fully-Connected PLL Network Control

    Article • August 2013, ASME International

    Professor Robert G Parker

  21. Planetary Gear Modal Vibration Properties Torque Sensitivity

    Article • August 2013, ASME International

    Professor Robert G Parker

  22. Synthesis of Stable Optimal Controls From Lyapunov Based Constraints

    Article • August 2013, ASME International

    Professor Robert G Parker

  23. Tuning of centrifugal pendulum vibration absorbers for translational and rotational vibration reduction

    Article • Mechanism and Machine Theory, August 2013, Elsevier

    Professor Robert G Parker

  24. Natural Frequency Clusters in Planetary Gear Vibration

    Article • Journal of Vibration and Acoustics, June 2013, ASME International

    Professor Robert G Parker

  25. Nonlinear Vibration of Gears With Tooth Surface Modifications

    Article • Journal of Vibration and Acoustics, June 2013, ASME International

    Professor Robert G Parker

  26. Mechanical stability of high-speed planetary gears

    Article • International Journal of Mechanical Sciences, April 2013, Elsevier

    Professor Robert G Parker

  27. Planetary gear modal vibration experiments and correlation against lumped-parameter and finite element models

    Article • Journal of Sound and Vibration, April 2013, Elsevier

    Professor Robert G Parker

  28. Unusual gyroscopic system eigenvalue behavior in high-speed planetary gears

    Article • Journal of Sound and Vibration, April 2013, Elsevier

    Professor Robert G Parker

  29. Vibration Properties of High-Speed Planetary Gears With Gyroscopic Effects

    Article • Journal of Vibration and Acoustics, October 2012, ASME International

    Professor Robert G Parker

  30. An investigation of tooth mesh nonlinearity and partial contact loss in gear pairs using a lumped-parameter model

    Article • Mechanism and Machine Theory, October 2012, Elsevier

    Professor Robert G Parker

  31. Modal properties and stability of centrifugal pendulum vibration absorber systems with equally spaced, identical absorbers

    Article • Journal of Sound and Vibration, October 2012, Elsevier

    Professor Robert G Parker

  32. Critical Speeds, Divergence, and Flutter Instability in High-Speed Planetary Gears

    Article • August 2012, ASME International

    Professor Robert G Parker

  33. Grouping of Planetary Gear Modes With Significant Tooth Mesh Deflection

    Article • August 2012, ASME International

    Professor Robert G Parker

  34. Perturbation Analysis and Parametric Study of Planetary Gear Vibration

    Article • August 2012, ASME International

    Professor Robert G Parker

  35. Vibration Mode Structure of Cyclically Symmetric Centrifugal Pendulum Vibration Absorber Systems

    Article • August 2012, ASME International

    Professor Robert G Parker

  36. Three-dimensional nonlinear vibration of gear pairs

    Article • Journal of Sound and Vibration, July 2012, Elsevier

    Professor Robert G Parker

  37. Nonlinear, parametrically excited dynamics of two-stage spur gear trains with mesh stiffness fluctuation

    Article • Proceedings of the Institution of Mechanical Engineers Part C Journal of Mechanical Engineering Science, May 2012, SAGE Publications

    Professor Robert G Parker

  38. Stiffness matrix calculation of rolling element bearings using a finite element/contact mechanics model

    Article • Mechanism and Machine Theory, May 2012, Elsevier

    Professor Robert G Parker

  39. Dynamic Analysis of Planetary Gears With Bearing Clearance

    Article • Journal of Computational and Nonlinear Dynamics, January 2012, ASME International

    Professor Robert G Parker

  40. Parametric Instability of Planetary Gears Having Elastic Continuum Ring Gears

    Article • Journal of Vibration and Acoustics, January 2012, ASME International

    Professor Robert G Parker

  41. Analytical determination of mesh phase relations in general compound planetary gears

    Article • Mechanism and Machine Theory, December 2011, Elsevier

    Professor Robert G Parker

  42. A Frequency Domain Finite Element Approach for Three-Dimensional Gear Dynamics

    Article • Journal of Vibration and Acoustics, January 2011, ASME International

    Professor Robert G Parker

  43. A Study of Gear Root Strains in a Multi-Stage Planetary Wind Turbine Gear Train Using a Three Dimensional Finite Element/Contact Mechanics Model and Experiments

    Article • January 2011, ASME International

    Professor Robert G Parker

  44. A Study on Planetary Gear Dynamics With Tooth Profile Modification

    Article • January 2011, ASME International

    Professor Robert G Parker

  45. Analytical Solution for the Nonlinear Dynamics of Planetary Gears

    Article • Journal of Computational and Nonlinear Dynamics, January 2011, ASME International

    Professor Robert G Parker

  46. Back-Side Contact Gear Mesh Stiffness

    Article • January 2011, ASME International

    Professor Robert G Parker

  47. Effects of Bearing Radial Internal Clearance on Dynamic Behavior and Bifurcations in Planetary Gears

    Article • January 2011, ASME International

    Professor Robert G Parker

  48. Corrigendum to “Vibration modes of planetary gears with unequally spaced planets and an elastic ring gear” [J. Sound Vib. 329 (11) (2010) 2265–2275]

    Article • Journal of Sound and Vibration, January 2011, Elsevier

    Professor Robert G Parker

  49. Nonlinear Vibration of Gear Pairs With Tooth Surface Modifications at Primary Resonance Using a Perturbation Method

    Article • January 2011, ASME International

    Professor Robert G Parker

  50. Planetary Gear Modal Properties and Dynamic Response: Experiments and Analytical Simulation

    Article • January 2011, ASME International

    Professor Robert G Parker

  51. Vibration Structure of Gyroscopic Planetary Gears

    Article • January 2011, ASME International

    Professor Robert G Parker

  52. Dynamic modeling and analysis of a spur planetary gear involving tooth wedging and bearing clearance nonlinearity

    Article • European Journal of Mechanics - A/Solids, November 2010, Elsevier

    Professor Robert G Parker

  53. An efficient finite element solution for gear dynamics

    Article • IOP Conference Series Materials Science and Engineering, June 2010, Institute of Physics Publishing

    Professor Robert G Parker

  54. Vibration modes of planetary gears with unequally spaced planets and an elastic ring gear

    Article • Journal of Sound and Vibration, May 2010, Elsevier

    Professor Robert G Parker

  55. Purely rotational model and vibration modes of compound planetary gears

    Article • Mechanism and Machine Theory, March 2010, Elsevier

    Professor Robert G Parker

  56. Sensitivity of General Compound Planetary Gear Natural Frequencies and Vibration Modes to Model Parameters

    Article • Journal of Vibration and Acoustics, January 2010, ASME International

    Professor Robert G Parker

  57. Modal properties of three-dimensional helical planetary gears

    Article • Journal of Sound and Vibration, August 2009, Elsevier

    Professor Robert G Parker

  58. Design and Conduct of Precision Planetary Gear Vibration Experiments

    Article • May 2009, SAE International

    Professor Robert G Parker

  59. Impact of tooth friction and its bending effect on gear dynamics

    Article • Journal of Sound and Vibration, March 2009, Elsevier

    Professor Robert G Parker

  60. Dynamic Modeling and Analysis of a Planetary Gear Involving Tooth Wedging and Bearing Clearance Nonlinearity

    Article • January 2009, ASME International

    Professor Robert G Parker

  61. Nonlinear Resonant Vibration of Counter-Shaft Gears With Fluctuating Mesh Stiffness

    Article • January 2009, ASME International

    Professor Robert G Parker

  62. Vibration Modes of Helical Planetary Gears

    Article • January 2009, ASME International

    Professor Robert G Parker

  63. A Frequency Domain Finite Element Approach for Three-Dimensional Gear Dynamics

    Article • January 2009, ASME International

    Professor Robert G Parker

  64. Computational Nonlinear Vibration Analysis of Gear Pairs Using a Three-Dimensional Model

    Article • January 2009, ASME International

    Professor Robert G Parker

  65. Structured Eigensolution Properties of Planetary Gears With Elastically Deformable Ring Gears

    Article • January 2009, ASME International

    Professor Robert G Parker

  66. Vibration of Planetary Gears With Elastically Deformable Ring Gears Parametrically Excited by Mesh Stiffness Fluctuations

    Article • January 2009, ASME International

    Professor Robert G Parker

  67. Piece-wise linear dynamic analysis of serpentine belt drives with a one-way clutch

    Article • Proceedings of the Institution of Mechanical Engineers Part C Journal of Mechanical Engineering Science, July 2008, SAGE Publications

    Professor Robert G Parker

  68. Steady mechanics of layered, multi-band belt drives used in continuously variable transmissions (CVT)

    Article • Mechanism and Machine Theory, February 2008, Elsevier

    Professor Robert G Parker

  69. Duffing Oscillator With Parametric Excitation: Analytical and Experimental Investigation on a Belt-Pulley System

    Article • Journal of Computational and Nonlinear Dynamics, January 2008, ASME International

    Professor Robert G Parker

  70. Dynamic Modeling and Analysis of Tooth Profile Modification for Multimesh Gear Vibration

    Article • Journal of Mechanical Design, January 2008, ASME International

    Professor Robert G Parker

  71. Effect of Ring-Planet Mesh Phasing and Contact Ratio on the Parametric Instabilities of a Planetary Gear Ring

    Article • Journal of Mechanical Design, January 2008, ASME International

    Professor Robert G Parker

  72. Influence of Tensioner Dry Friction on the Vibration of Belt Drives With Belt Bending Stiffness

    Article • Journal of Vibration and Acoustics, January 2008, ASME International

    Professor Robert G Parker

  73. Modal Properties of Planetary Gears With an Elastic Continuum Ring Gear

    Article • Journal of Applied Mechanics, January 2008, ASME International

    Professor Robert G Parker

  74. Parametric Instability of an Axially Moving Belt Subjected to Multifrequency Excitations: Experiments and Analytical Validation

    Article • Journal of Applied Mechanics, January 2008, ASME International

    Professor Robert G Parker

  75. Nonlinear dynamics of idler gear systems

    Article • Nonlinear Dynamics, December 2007, Springer Science + Business Media

    Professor Robert G Parker

  76. Nonlinear dynamics of planetary gears using analytical and finite element models

    Article • Journal of Sound and Vibration, May 2007, Elsevier

    Professor Robert G Parker

  77. Experimental and Theoretical Investigation on the Nonlinear Mathieu Equation Applied to a Belt-Pulley System

    Article • January 2007, ASME International

    Professor Robert G Parker

  78. Flexural-Torsional Buckling of Misaligned Axially Moving Beams: Vibration and Stability Analysis

    Article • January 2007, ASME International

    Professor Robert G Parker

  79. Impact of Tooth Friction and Its Bending Effect on Gear Dynamics

    Article • January 2007, ASME International

    Professor Robert G Parker

  80. Influence of Tensioner Dry Friction on the Vibration of Belt Drives With Belt Bending Stiffness

    Article • January 2007, ASME International

    Professor Robert G Parker

  81. Nonlinear Dynamics of Planetary Gears Using Analytical and Finite Element Models

    Article • January 2007, ASME International

    Professor Robert G Parker

  82. Nonlinear Dynamics of Planetary Gears With Equal Planet Spacing

    Article • January 2007, ASME International

    Professor Robert G Parker

  83. Parametric Instability of a Rotating Circular Ring With Moving, Time-Varying Springs

    Article • January 2007, ASME International

    Professor Robert G Parker

  84. Perturbation Analysis of a Clearance-Type Nonlinear System

    Article • January 2007, ASME International

    Professor Robert G Parker

  85. Piece-Wise Linear Dynamic Analysis of Serpentine Belt Drives With a One-Way Clutch

    Article • January 2007, ASME International

    Professor Robert G Parker

  86. Sensitivity of General Compound Planetary Gear Natural Frequencies and Vibration Modes to Model Parameters

    Article • January 2007, ASME International

    Professor Robert G Parker

  87. Structured Vibration Modes of General Compound Planetary Gear Systems

    Article • January 2007, ASME International

    Professor Robert G Parker

  88. Transverse Vibration Instabilities in Multiribbed Belt Transmission Subjected to Multi-Frequency Excitations: Modelling and Experiments

    Article • January 2007, ASME International

    Professor Robert G Parker

  89. Vibration Resonances in a Planetary Gear Ring: Effects of Mesh Phasing and Contact Ratio

    Article • January 2007, ASME International

    Professor Robert G Parker

  90. Structured Vibration Modes of General Compound Planetary Gear Systems

    Article • Journal of Vibration and Acoustics, January 2007, ASME International

    Professor Robert G Parker

  91. Vibration of rings on a general elastic foundation

    Article • Journal of Sound and Vibration, August 2006, Elsevier

    Professor Robert G Parker

  92. Flexural-torsional buckling of misaligned axially moving beams

    Article • International Journal of Solids and Structures, July 2006, Elsevier

    Professor Robert G Parker

  93. Flexural–torsional buckling of misaligned axially moving beams. I. Three-dimensional modeling, equilibria, and bifurcations

    Article • International Journal of Solids and Structures, July 2006, Elsevier

    Professor Robert G Parker

  94. Parametric instability of a circular ring subjected to moving springs

    Article • Journal of Sound and Vibration, May 2006, Elsevier

    Professor Robert G Parker

  95. Perturbation analysis of a clearance-type nonlinear system

    Article • Journal of Sound and Vibration, May 2006, Elsevier

    Professor Robert G Parker

  96. Mechanics and Sliding Friction in Belt Drives With Pulley Grooves

    Article • Journal of Mechanical Design, January 2006, ASME International

    Professor Robert G Parker

  97. Parametric Instability of a Rotating Circular Ring With Moving, Time-Varying Springs

    Article • Journal of Vibration and Acoustics, January 2006, ASME International

    Professor Robert G Parker

  98. Sensitivity of General Compound Planetary Gear Natural Frequencies and Vibration Modes to Model Parameters

    Article • January 2006, ASME International

    Professor Robert G Parker

  99. Suppression of Planet Mode Response in Planetary Gear Dynamics Through Mesh Phasing

    Article • Journal of Vibration and Acoustics, January 2006, ASME International

    Professor Robert G Parker

  100. Microslip friction in flat belt drives

    Article • Proceedings of the Institution of Mechanical Engineers Part C Journal of Mechanical Engineering Science, October 2005, SAGE Publications

    Professor Robert G Parker

  101. Vibration of an axially moving beam wrapping on fixed pulleys

    Article • Journal of Sound and Vibration, February 2005, Elsevier

    Professor Robert G Parker

  102. Mechanics of Serpentine Belt Drives with Tensioner Assemblies and Belt Bending Stiffness

    Article • Journal of Mechanical Design, January 2005, ASME International

    Professor Robert G Parker

  103. Non-linear dynamics of a one-way clutch in belt–pulley systems

    Article • Journal of Sound and Vibration, January 2005, Elsevier

    Professor Robert G Parker

  104. Steady Mechanics of Belt-Pulley Systems

    Article • Journal of Applied Mechanics, January 2005, ASME International

    Professor Robert G Parker

  105. Approximate eigensolutions of axially moving beams with small flexural stiffness

    Article • Journal of Sound and Vibration, September 2004, Elsevier

    Professor Robert G Parker

  106. Efficient eigensolution, dynamic response, and eigensensitivity of serpentine belt drives

    Article • Journal of Sound and Vibration, February 2004, Elsevier

    Professor Robert G Parker

  107. Coupled Belt-Pulley Vibration in Serpentine Drives With Belt Bending Stiffness

    Article • Journal of Applied Mechanics, January 2004, ASME International

    Professor Robert G Parker

  108. Equilibrium and Belt-Pulley Vibration Coupling in Serpentine Belt Drives

    Article • Journal of Applied Mechanics, January 2003, ASME International

    Professor Robert G Parker

  109. PLANETARY GEAR PARAMETRIC INSTABILITY CAUSED BY MESH STIFFNESS VARIATION

    Article • Journal of Sound and Vibration, January 2002, Elsevier

    Professor Robert G Parker

  110. Spatial Discretization of Serpentine Belt Drive Dynamics Using Constrained Basis Functions

    Article • January 2002, ASME International

    Professor Robert G Parker

  111. NATURAL FREQUENCY VEERING IN PLANETARY GEARS*

    Article • Mechanics of Structures and Machines, November 2001, Taylor & Francis

    Professor Robert G Parker

  112. Parametric Instability of Axially Moving Media Subjected to Multifrequency Tension and Speed Fluctuations

    Article • Journal of Applied Mechanics, January 2001, ASME International

    Professor Robert G Parker

  113. NON-LINEAR DYNAMIC RESPONSE OF A SPUR GEAR PAIR: MODELLING AND EXPERIMENTAL COMPARISONS

    Article • Journal of Sound and Vibration, October 2000, Elsevier

    Professor Robert G Parker

  114. A PHYSICAL EXPLANATION FOR THE EFFECTIVENESS OF PLANET PHASING TO SUPPRESS PLANETARY GEAR VIBRATION

    Article • Journal of Sound and Vibration, September 2000, Elsevier

    Professor Robert G Parker

  115. STRUCTURED VIBRATION CHARACTERISTICS OF PLANETARY GEARS WITH UNEQUALLY SPACED PLANETS

    Article • Journal of Sound and Vibration, June 2000, Elsevier

    Professor Robert G Parker

  116. Serpentine Belt Span Vibrations caused by Dynamic Pulley and Crankshaft Oscillations

    Article • March 2000, SAE International

    Professor Robert G Parker

  117. Tuning of the natural frequency spectrum of a circular plate by in-plate stress

    Article • Journal of Sound and Vibration, February 1991, Elsevier

    Professor Robert G Parker

  118. Asymmetric tensioning of circular saws

    Article • European Journal of Wood and Wood Products, April 1989, Springer Science + Business Media

    Professor Robert G Parker