The Ohio State University

Robert G. Parker

Professor

PhD, University of California, Berkeley (1995)
MS, University of California, Berkeley
BS, State University of New York at Stony Brook

Contact Information

E543 Scott Laboratory

201 W. 19th Avenue

Columbus, Ohio 43210

Phone: 614-688-3922

E-Mail: parker.242@osu.edu

Research

Prof. Parker's research addresses problems on the dynamics, vibration, and stability of mechanical systems with particular focus on high-speed machinery. This class of systems demonstrates unique dynamic phenomena. One project investigates the dynamics of planetary gears and other multi-mesh gear systems with application to helicopter and automotive transmissions. In addition to analytical research, this project uses specialized computational modeling of the gear tooth contact mechanics. Prof. Parker also actively researches the vibration of serpentine belt drives in cars where engine excitations drive belt instabilities and nonlinear response. A third project examines the dynamics of spinning, elastic disk-spindle systems such as in disk drives and turbomachinery. A novel analytical formulation allows classical dynamic stability analysis of such systems.

Prof. Parker is a Fellow of ASME and the American Association for the Advancement of Science. In 2005, he was awarded ASME's Gustus Larson award for outstanding engineering accomplishment. He received the Presidential Early Career Award for Scientists and Engineers in 1999. Presented at a White House ceremony, this is "the highest honor awarded by the U.S. government to scientists and engineers beginning their research careers." This builds on the U.S. Army Young Investigator Research Award that Prof. Parker received in 1998 for his planetary gear dynamics research. In 1999, Prof. Parker was awarded the National Science Foundation CAREER Award for his research on spinning disk-spindle systems and high-speed belt drives.

Ford Motor Company honored Prof. Parker with their 2007 Chief Engineer Award for his role in solving a major gear noise problem. He also received the Dow Outstanding New Faculty Member Award from the American Society of Engineering Education, the SAE Ralph R. Teetor Educational Award, the Ohio State Lumley Research Award (twice), and the Ohio State Research Accomplishment Award (twice). Prof. Parker received the Cummins Engine Company Scholarship to attend the National Academy of Engineering Frontiers of Engineering Sympoisum. and was an invitee to the international National Academy of Engineering Frontiers of Engineering Symposia held jointly with Japan and Germany.

Prof. Parker has held visiting appointments at INSA Lyon in France (2006), Risoe National Lab in Denmark (2005), the University of Technology, Sydney (2005), and NASA Glenn Research Center (1996). He has consulted for numerous companies internationally on gear vibration and noise.

Prof. Parker's work is supported by the NSF, U.S. Army Research Office, NASA, National Rotorcraft Technology Center, General Motors, Ford, Boeing, Honeywell, Mark IV Automotive, U.S. Department of Transportation, Ohio Space Grant Consortium, and Komatsu. He has received fellowships from NSF, U. S. Army, NASA, the Society of Automotive Engineers, and the Australian Research Council.

Thrust Area

Applied Mechanics
Dynamics & Controls

Courses Taught

E181 Introduction to Engineering
ME481 System Dynamics and Vibration
ME581 Mechanical Engineering Laboratory
ME650 Vibration of Mechanical Systems
ME731 Vibration of Discrete Systems
ME733 Advanced Engineering Dynamics
ME735 Analytical Dynamics
ME832 Nonlinear Vibrations
ME834 Advanced Methods of Vibration Analysis

Selected Publications

62. Yichao Guo and R. G. Parker, Purely Rotational Model and Vibration Modes of Compound Planetary Gears, Mechanism and Machine Theory, 2009, in press.
61. L. Sharma, T. Aldemir, and R. G. Parker, Importance Ranking of Parameters Affecting Reactor Behavior Using the Taguchi Method, Nuclear Science and Engineering, 2009, in press.
60. Yichao Guo and R. G. Parker, Sensitivity of General Compound Planetary Gear Natural Frequencies and Vibration Modes to Model Parameters, ASME Journal of Vibration and Acoustics, 2009, in press.
59. T. Eritenel and R. G. Parker, Modal Properties of Three-Dimensional Helical Planetary Gears, Journal of Sound and Vibration, 2009, vol. 325, pp. 397-420.
58. G. Liu and R. G. Parker, Impact of Tooth Friction and Its Bending Effect on Gear Dynamics, Journal of Sound and Vibration, 2009, vol. 320, pp. 1039-1063.
57. G. Liu and R. G. Parker, Dynamic Modeling and Analysis of Tooth Profile Modification of Multi-Mesh Gears, ASME Journal of Mechanical Design, 2008, vol. 130, p. 121402-1.
56. G. Liu and R. G. Parker, Nonlinear Dynamics of Idler Gearsets, Nonlinear Dynamics, 2008, vol. 53, pp. 345-367.
55. F. Zhu and R. G. Parker, Piecewise-Linear Dynamic Analysis of Serpentine Belt Drives with a One-Way Clutch, Journal of Mechanical Engineering Science (Proc. of the Inst. of Mech. Eng.), 2008, vol. 222(C7), pp. 1165-1176.
54. G. Michon, L. Manin, D. Remond, R. Dufour, and R. G. Parker, Parametric Instability of an Axially Moving Belt Subjected to Multi-Frequency Excitations: Experiments and Analytical Validation, ASME Journal of Applied Mechanics, 2008, vol. 75, p. 041004.
53. X. Wu and R. G. Parker, Modal Properties of Planetary Gears with an Elastic Continuum Ring Gear, ASME Journal of Applied Mechanics, 2008, vol. 75, p. 031014-1.
52. G. Michon, L. Manin, R. G. Parker, and R. Dufour, Duffing Oscillator with Parametric Excitation: Analytical and Experimental Investigation on a Belt-Pulley System, ASME Journal of Computational and Nonlinear Dynamics, 2008, vol. 3, p. 031001-1.
51. R. G. Parker, Natural Frequencies and Vibration Modes of Compound Planetary Gears, Gear Solutions, 2008, vol. 6, pp. 26-35.
50. F. Zhu and R. G. Parker, Influence of Tensioner Dry Friction on the Vibration of Belt Drives with Belt Bending Stiffness, ASME Journal of Vibration and Acoustics, 2008, vol.130, p. 011002.
49. L. Kong and R. G. Parker, Steady Mechanics of Layered, Multi-Band Belt Drives Used in Continuously Variable Transmissions (CVT), Mechanism and Machine Theory, 2008, vol. 43, pp. 171-185.
48. S. Vangipuram-Canchi and R. G. Parker, Effects of Ring-Planet Mesh Phasing and Contact Ratio on the Parametric Instabilities of a Planetary Gear Ring, ASME Journal of Mechanical Design, 2008, vol.130, p. 014501.
47. V. K. Ambarisha and R. G. Parker, Nonlinear Planetary Gear Dynamics using Analytical and Finite Element Models, Journal of Sound and Vibration, 2007, vol. 302, pp. 577-595.
46. J. Lin and R. G. Parker, Planetary Gear Vibration Driven by Fluctuating Mesh Stiffness, Gear Solutions, 2007, vol. 49, pp. 32-45.
45. D. Kiracofe and R. G. Parker, Structured Vibration Modes of General Compound Planetary Gear Systems, ASME Journal of Vibration and Acoustics, 2007, vol. 129, pp. 1-16.
44. L. Kong and R. G. Parker, Mechanics and Sliding Friction in Belt Drives with Pulley Grooves, ASME Journal of Mechanical Design, 2006, vol. 128, pp. 494-502.
43. X. Wu and R. G. Parker, Vibration of Rings on a General Elastic Foundation, Journal of Sound and Vibration, 2006, vol. 295, pp. 194-213.
42. K. Orloske and R. G. Parker, Flexural-Torsional Buckling of Misaligned Axially Moving Beams, Part II: Vibration and Stability Analysis, International Journal of Solids and Structures, 2006, vol. 43, no. 14-15, pp. 4323-4341.
41. K. Orloske, M. J. Leamy, and R. G. Parker, Flexural-Torsional Buckling of Misaligned Axially Moving Beams, Part I: Three-Dimensional Modeling, Equilibria, and Bifurcations, International Journal of Solids and Structures, 2006, vol. 43, no. 14-15, pp. 4297-4322.
40. S. Vangipuram-Canchi and R. G. Parker, Parametric Instability of a Rotating Ring with Moving, Time-Varying Springs, ASME Journal of Vibration and Acoustics, 2006, vol. 128, pp. 231-243.
39. V. K. Ambarisha and R. G. Parker, Suppression of Planet Mode Response in Planetary Gear Dynamics using Planet Mesh Phasing, ASME Journal of Vibration and Acoustics, 2006, vol. 128, pp. 133-142.
38. S. Vangipuram Canchi and R. G. Parker, Parametric Instability of a Circular Ring Subjected to Moving Springs, Journal of Sound and Vibration, 2006, vol. 293, pp. 360-379.
37. F. Zhu and R. G. Parker, Perturbation Analysis of a Clearance-Type Nonlinear System, Journal of Sound and Vibration, 2006, vol. 292, pp. 969-979.
36. L. Kong and R. G. Parker, Micro-Slip Friction in Flat Belt Drives, Journal of Mechanical Engineering Science (Proc. of IMechE), 2005, vol. 219, pp. 1097-1106.
35. L. Kong and R. G. Parker, Mechanics of Serpentine Belt Drives with Tensioner Assemblies and Belt Bending Stiffness, ASME Journal of Mechanical Design, 2005, vol. 127, pp. 957-966.
34. L. Kong and R. G. Parker, Steady Mechanics of Belt-Pulley Systems, ASME Journal of Applied Mechanics, 2005, vol. 72, pp. 25-34.
33. L. Kong and R. G. Parker, Vibration of an Axially Moving Beam Wrapping on Fixed Pulleys, Journal of Sound and Vibration, 2005, vol. 280, pp. 1066-1074.
32. F. Zhu and R. G. Parker, Nonlinear Dynamics of One-Way Clutches in Belt-Pulley Systems, Journal of Sound and Vibration, 2005, vol. 279, pp. 285-308.
31. G.-J. Cheon and R. G. Parker, Influence of Bearing Stiffness on the Static Properties of a Planetary Gear System with Manufacturing Errors, KSME International Journal, 2004, vol. 18, pp. 1978-1988.
30. L. Kong and R. G. Parker, Approximate Eigensolutions of Axially Moving Beams with Small Flexural Stiffness, Journal of Sound and Vibration, 2004, vol. 276, pp. 459-469.
29. G.-J. Cheon and R. G. Parker, Influence of Manufacturing Errors on the Dynamic Characteristics of Planetary Gear Systems, KSME International Journal, 2004, vol. 18, no. 4, pp. 606-621.
28. L. Kong and R. G. Parker, Coupled Belt-Pulley Vibration in Serpentine Drives with Belt Bending Stiffness, ASME Journal of Applied Mechanics, 2004, vol. 71, pp. 109-119.
27. R. G. Parker and J. Lin, Mesh Phasing Relationships in Planetary and Epicyclic Gears, ASME Journal of Mechanical Design, 2004, vol. 126, no. 2, pp. 365-370.
26. R. G. Parker and S. Shah, Efficient Eigensolution, Dynamic Response, and Eigensensitivity of Serpentine Belt Drives, Journal of Sound and Vibration, 2004, col. 270, pp 15-38.
25. L. Kong and R. G. Parker, Equilibrium and Belt-Pulley Vibration Coupling in Serpentine Belt Drives, ASME Journal of Applied Mechanics, 2003, vol. 70, no. 5, pp. 739-750.
24. J. Lin and R. G. Parker, Mesh Stiffness Variation Instabilities in Two-Stage Gear Systems, ASME Journal of Vibration and Acoustics, 2002, vol. 124, pp. 68-76.
23. J. Lin and R. G. Parker, Parametric Instability of Planetary Gears under Mesh Stiffness Variation, Journal of Sound and Vibration, 2002, vol. 249, pp. 129-145.
22. J. Lin and R. G. Parker, Natural Frequency Veering in Planetary Gears, Mechanics of Structures and Machines, 2001, vol. 29, no. 4, pp. 411-429.
21. R. G. Parker and Y. Lin, Parametric Instability of an Axially Moving String Subjected to Multi-Frequency Tension and Speed Fluctuations, ASME Journal of Applied Mechanics, 2001, vol. 68, pp. 49-57.
20. J. Lin and R. G. Parker, Parametric Resonance in Two-Stage Gears from Fluctuating Mesh Stiffness, Proc. of International Conference on Mechanical Transmissions, Chongqing, China, April 2001, pp. 233-238.
19. R. G. Parker and Y. Lin, Serpentine Belt Span Vibrations Caused By Dynamic Pulley and Crankshaft Oscillations, SAE Journal of Engines, 2000, vol. 109, sec. 3, pp. 760-766.
18. R. G. Parker, S. M. Vijayakar, and T. Imajo, Nonlinear Dynamic Response of a Spur Gear Pair: Modeling and Experimental Comparisons, Journal of Sound and Vibration, vol. 237, 2000, pp. 435-455.
17. R. G. Parker, A Physical Explanation for the Effectiveness of Planet Phasing to Suppress Planetary Gear Vibration, Journal of Sound and Vibration, vol. 236, 2000, pp. 561-573.
16. R. G. Parker, V. Agashe, and S. M. Vijayakar, Dynamic Response of a Planetary Gear System Using a Finite Element/Contact Mechanics Model, ASME Journal of Mechanical Design, vol. 122, 2000, pp. 305-311.
15. R. K. Jha and R. G. Parker, Spatial Discretization of Axially Moving Media Vibration Problems, ASME Journal of Vibration and Acoustics, vol. 122, 2000, pp. 290-294.
14. J. Lin and R. G. Parker, Structured Vibration Characteristics of Planetary Gears with Unequally Spaced Planets, Journal of Sound and Vibration, vol. 233, 2000, pp. 921-928.
13. J. Lin and R. G. Parker, Sensitivity of Planetary Gear Natural Frequencies and Vibration Modes to Model Parameters, Journal of Sound and Vibration, vol. 228, 1999, pp. 109-128.
12. R. G. Parker and P. J. Sathe, Free Vibration and Stability of a Spinning Disk-Spindle System, ASME Journal of Vibration and Acoustics, vol. 121, July 1999, pp. 391-396.
11. J. Lin and R. G. Parker, Analytical Characterization of the Unique Properties of Planetary Gear Free Vibration, ASME Journal of Vibration and Acoustics, vol. 121, July 1999, pp. 316-321.
10. R. G. Parker and P. J. Sathe, Exact Solutions for the Free and Forced Response of a Rotating Disk-Spindle System, Journal of Sound and Vibration, vol. 223, 1999, pp. 445-465.
9. R. G. Parker, Supercritical Speed Stability of the Trivial Equilibrium of an Axially Moving String on an Elastic Foundation, Journal of Sound and Vibration, vol. 221, 1999, pp. 205-219.
8. R. G. Parker, Analytical Vibration of Spinning, Elastic Disk-Spindle Systems, ASME Journal of Applied Mechanics, vol. 66, 1999, pp. 218-224.
7. R. G. Parker, On the Eigenvalues and Critical Speed Stability of Gyroscopic Continua, ASME Journal of Applied Mechanics, vol. 65, 1998, pp. 134-140.
6. R. G. Parker and C. D. Mote, Jr., Exact Boundary Condition Perturbation for Eigensolutions of the Wave Equation, Journal of Sound and Vibration, vol. 211, no. 3, 1998, pp. 389-407.
5. R. G. Parker and C. D. Mote, Jr., Vibration and Coupling Phenomena in Asymmetric Disk-Spindle Systems, ASME Journal of Applied Mechanics, vol. 63, 1996, pp. 953-961.
4. R. G. Parker and C. D. Mote, Jr., Exact Perturbation for the Vibration of Almost Annular or Circular Plates, ASME Journal of Vibration and Acoustics, vol. 118, 1996, pp. 436-445.
3. R. G. Parker and C. D. Mote, Jr., Exact Boundary Condition Perturbation Solutions in Eigenvalue Problems, ASME Journal of Applied Mechanics, vol. 63, 1996, pp. 128-135.
2. R. G. Parker and C. D. Mote, Jr., Asymmetric Tensioning of Circular Saws, Holz als Roh-und Werkstoff, vol. 47, 1989, pp. 143-151.
1. R. G. Parker and C. D. Mote, Jr., Tuning of the Natural Frequency Spectrum of a Circular Plate by In-plane Stress, Journal of Sound and Vibration, vol. 145, 1991, pp. 95-110.