Books

    O. M. O’Reilly, Engineering Dynamics: A Primer, Second Edition, Springer-Verlag, New York, 2010. The electronic version of this book is available (for free if your University library has a subscription) at [www.springerlink.com].

    O. M. O’Reilly, Intermediate Engineering Dynamics: A Unified Treatment of Newton-Euler and Lagrangian Mechanics, Cambridge University Press, New York, 2008. A Russian translation of this book is available at http://www.rcd.ru/. Errata for the 2008 English edition can be downloaded here: Errata (Updated November 2010)

Submitted Publications

  1. M. Christophy, M. Curtin, N. A. Faruk Senan, J. C. Lotz, and O. M. O’Reilly, On the Modeling of the Intervertebral Disc in Multibody Models for the Spine, Submitted for publication (2011).

  2. B. Orazov, O. M. O’Reilly and O. Savas, Experimental Testing of a Mass Modulated Ocean Wave Energy Converter Prototype, Submitted for publication (2012).

Refereed Publications: Archival Journals

  1. C. Majidi, O. M. O’Reilly and J. A. Williams, On the Stability of a Rod Adhering to a Rigid Surface: Shear-Induced Stable Adhesion and the Instability of Peeling, Accepted for publication in Journal of the Mechanics and Physics of Solids (2012).

  2. M. Christophy, N. A. Faruk Senan, J. C. Lotz, and O. M. O’Reilly, A Muscloskeletal Model for the Lumbar Spine, Biomechanics and Modeling in Mechanobiology Vol. 11, No. 1-2, 19-34 (2012).

  3. J. C. Lotz, O. M. O’Reilly and D. M. Peters, Some Comments on the Absence of Buckling of the Ligamentous Human Spine in the Sagittal Plane, Mechanics Research Communications Vol. 40, No. 1, 11-15 (2012).

  4. B. Orazov, O. M. O’Reilly, and X. Zhou, On Forced Oscillations of a Simple Model for a Novel Wave Energy Converter: Non-Resonant Instability, Limit Cycles, and Bounded Oscillations, Nonlinear Dynamics Vol. 67, No. 2, 1135-1146 (2012).

  5. O. M. O’Reilly and D. M. Peters, Nonlinear Stability Criteria for Tree-Like Structures Composed of Branched Elastic Rods, Proceedings of the Royal Society of London Vol. 468, No. 2137, pp. 206-226 (2012).

  6. O. M. O’Reilly and D. M. Peters, On Stability Analyses of Three Classical Buckling Problems for the Elastic Strut, Journal of Elasticity Vol. 105, Nos. 1-2, 117-136 (2011).

  7. L. O’Callaghan, O. M. O’Reilly and L. Zhornitskaya, On Azimutal Shear Waves in a Transversely Isotropic Viscoelastic Mixture: Application to Diffuse Axonal Injury, Mathematics and Mechanics of Solids Vol. 16, No. 6, 625-636 (2011).

  8. O. M. O’Reilly and T. N. Tresierras, On the Evolution of Intrinsic Curvature in Rod-Based Models of Growth in Long Slender Plant Stems, International Journal of Solids and Structures Vol. 48, No. 9, 1239-1247 (2011).

  9. O. M. O’Reilly and T. N. Tresierras, On the Static Equilibria of Branched Elastic Rods, International Journal of Engineering Science Vol. 49, No. 2, 212-227 (2011).

  10. L. L. Lattanza, T. Chu, J. M. Ty, B. Orazov, N. Strauss, O. M. O’Reilly and J. M. Buckley, Inter and Intra-Clinician Variability in the Mechanics of the Pivot Shift Test for Posterolateral Rotatory Instability (PLRI) of the Elbow, Journal of Shoulder and Elbow Surgery Vol. 19, No. 8, 1150-1156 (2010).

  11. M. F. Metzger, N. A. Faruk Senan, and O. M. O’Reilly, On the Cartesian Stiffness Matrix in Rigid Body Dynamics: An Energetic Perspective, Journal of Multibody System Dynamics Vol. 44, No. 4, 441-472 (2010).

  12. B. Orazov, O. M. O’Reilly and O. Savas, On the Dynamics of a Novel Ocean Wave Energy Converter, Journal of Sound and Vibration Vol. 329, No. 24, 5058-5069 (2010).

  13. M. F. Metzger, N. A. Faruk Senan, O. M. O’Reilly and J. C. Lotz, Minimizing Errors Associated with Calculating the Helical Axis for Spinal Motions, Journal of Biomechanics Vol. 43, No. 14, 2822-2829 (2010).

  14. O. M. O’Reilly, M. F. Metzger, J. M. Buckley, D. A. Moody and J. C. Lotz, On the Stiffness Matrix of the Intervertebral Joint: Application to Total Disc Replacement, ASME Journal of Biomechanical Engineering Vol. 131, No. 8, 081007 (9 pages) (2009).

  15. N. A. Faruk Senan and O. M. O’Reilly, On the Use of Quaternions and Euler-Rodrigues Symmetric Parameters with Moments and Moment Potentials, International Journal of Engineering Science Vol. 47, No. 4, pp. 595-609 (2009).

  16. N. A. Faruk Senan, O. M. O’Reilly and T. N. Tresierras, Modelling the Growth and Branching of Plants: A Simple Rod-Based Model, Journal of the Mechanics and Physics of Solids Vol. 56, No. 10, pp. 3021-3036 (2008).

  17. R. G. Azevedo, W. Huang, O. M. O’Reilly and A. P. Pisano, Dual-Mode Temperature Compensation for a Comb-Driven MEMS Resonant Strain Gauge, Sensors and Actuators A: Physical, Vol. 144, No. 2, pp. 374-380 (2008).

  18. E. S. Lew, B. Orazov and O. M. O’Reilly, The Dynamics of Charles Taylor's Remarkable One-Wheeled Vehicle, Regular and Chaotic Dynamics, Vol. 13, No. 4, pp. 257-266 (2008).

  19. P. Kessler, O. M. O’Reilly, Curve Encirclement and Protein Structure, Physical Review Letters, Vol. 99, Number 15, 158103 (2007). ?Reprinted in Virtual Journal of Biological Physics Research, Vol. 14, No. 8, October 15, (2007).

  20. P. Kessler, O. M. O’Reilly, A.-L. Raphael and M. Zworski,On Dissipation-Induced Destabilization and Brake Squeal: A Structured Pseudospectral Perspective, Journal of Sound and Vibration, Vol. 308, Number 1-2, pp. 1-11 (2007).

  21. O. M. O’Reilly,The Energy Jump Condition for Thermomechanical Media in the Presence of Configurational Forces, Continuum Mechanics and Thermodynamics, Vol. 18, Number 6, pp. 361-365 (2007).

  22. T. A. Lauderdale and O. M. O’Reilly,On the Restrictions Imposed by Non-Affine Material Symmetry Groups for Elastic Rods: Application to Helical Substructures, European Journal of Mechanics A/Solids, Vol. 26, No. 4, pp. 701-711 (2007).

  23. O. M. O’Reilly,A Material Momentum Balance Law for Rods, Journal of Elasticity, Vol. 86, No. 2, pp. 155-172 (2007).

  24. O. M. O’Reilly and S. Payen,The Attitudes of Constant Angular Velocity Motions, International Journal of Nonlinear Mechanics, Vol. 41, Issues 6-7, pp. 787-795 (2006).

  25. O. M. O’Reilly, The Dual Euler Basis: Constraints, Potentials, and Lagrange's Equations in Rigid Body Dynamics, ASME Journal of Applied Mechanics, Vol. 72, Number 2, pp. 256-258 (2007).

  26. T. A. Lauderdale and O. M. O’Reilly, On Transverse and Rotational Symmetries in Elastic Rods, Journal of Elasticity, Vol. 82, No. 1, pp. 31-47 (2006).

  27. T. A. Lauderdale and O. M. O’Reilly, Modeling MEMS Resonators with Rod-Like Components Accounting for Anisotropy, Temperature, and Strain Dependencies, International Journal of Solids and Structures, Vol. 42, No. 26, pp. 6523-6549 (2005).

  28. J. P. Coaplen, P. Kessler, O. M. O’Reilly, D. M. Stevens and J. K. Hedrick,On Navigation Systems for Motorcycles. The Influence and Estimation of Roll Angle, Journal of Navigation, Vol. 58, No. 3, pp. 375-388 (2005).

  29. J. Casey and O. M. O’Reilly,Geometrical Derivation of Lagrange’s Equations for a System of Rigid Bodies, Mathematics and Mechanics of Solids, Vol. 11, No. 4, pp. 401-422 (2006).

  30. N. M. Kinkaid, O. M. O’Reilly, and P. Papadopoulos,On the Transient Dynamics of a Multi-Degree-of-Freedom Friction Oscillator: A New Mechanism for Disc Brake Noise, Journal of Sound and Vibration, Vol. 287, Issues 4-5, pp. 901-917 (2005).

  31. T. A. Lauderdale and O. M. O’Reilly,A Method for Relaxing Parameter Constraints in Rigid Body Dynamics, International Journal of Nonlinear Mechanics, vol. 40, No. 5, pp. 715-727 (2005).

  32. J. J. Ong and O. M. O’Reilly, On the Equations of Motion for Rigid Bodies with Surface Growth, International Journal of Engineering Science, Vol. 42, Nos. 19-20, pp. 2159-2174 (2004).

  33. O. M. O’Reilly and P. C. Varadi, On Some Peculiar Aspects of Axial Motions of Closed Loops of String in the Presence of a Singular Supply of Momentum, ASME Journal of Applied Mechanics, Vol. 71, No. 4, pp. 541-545 (2004).

  34. W. O. Davis, O. M. O’Reilly and A. P. Pisano, On the Nonlinear Dynamics of Tether Suspensions for MEMS, ASME Journal of Vibration and Acoustics, Vol. 126, No. 3, pp. 326-331 (2004).

  35. O. M. O’Reilly and P. C. Varadi, On Energetics and Conservations for Strings in the Presence of Singular Sources of Momentum and Energy, Acta Mechanica, Vol. 165, Nos. 1-2, pp. 27-45 (2003).

  36. O. M. O’Reilly and M. H. Tan, Steady Motions of an Axisymmetric Satellite: An Atlas of their Bifurcations, International Journal of Non-linear Mechanics, Vol. 39, No. 6, pp. 921-940 (2004).

  37. N. M. Kinkaid, O. M. O’Reilly and P. Papadopoulos, Automotive Disc Brake Squeal, Journal of Sound and Vibration. Vol. 267, No. 1, pp. 105-166 (2003).

  38. O. M. O’Reilly and B. L. Thoma, On the Dynamics of a Deformable Satellite in the Gravitational Field of a Spherical Rigid Body, Celestial Mechanics and Dynamical Astronomy, Vol. 86, No. 1, pp. 1-28 (2003).

  39. O. M. O’Reilly and A. R. Srinivasa, On Potential Energies and Constraints in the Dynamics of Rigid Bodies and Particles, Mathematical Problems in Engineering, Vol. 8, No. 3, pp. 169-180 (2002). doi:10.1080/10241230215286

  40. P. Kessler and O. M. O’Reilly, The Ringing of Euler's Disk, Regular and Chaotic Dynamics, Vol. 7, No. 1, pp. 49-60 (2002).

  41. N. M. Kinkaid, and O. M. O’Reilly, Pulling Apart a Press-Fitted Joint, Mathematics and Mechanics of Solids, Vol. 7, No. 3, pp. 307-318 (2002).

  42. O. M. O’Reilly, On Coupled Longitudinal and Lateral Vibrations of Elastic Rods, Journal of Sound and Vibration, Vol. 247, No. 5, pp. 835-856 (2001).

  43. N. M. Kinkaid, O. M. O’Reilly and J. S. Turcotte, On Steady Motions of a Rotating Elastic Rod, ASME Journal of Applied Mechanics, Vol. 68, No. 5, pp. 766-771 (2001).

  44. O. M. O’Reilly and A. S. Srinivasa, On a Decomposition of Generalized Constraint Forces, Proceedings of the Royal Society of London, Vol. 457A, pp. 1307-1313 (2001).

  45. T. R. Nordenholz and O. M. O'Reilly, A Class of Motions of Elastic, Symmetric Cosserat Points: Existence, Bifurcation, and Stability, International Journal of Non-Linear Mechanics, Vol. 36, No. 2, pp. 353-374 (2001).

  46. C. Luo and O. M. O'Reilly, On the Material Symmetry of Elastic Rods, Journal of Elasticity, Vol. 60, No. 1, pp. 35-56 (2000).

  47. D. W. Gulick and O. M. O'Reilly, On the Dynamics of the Dynabee, ASME Journal of Applied Mechanics, Vol. 67, No. 2, pp. 321-325 (2000).

  48. O. M. O'Reilly and P. C. Varadi, Hoberman’s Sphere, Euler Parameters and Lagrange’s Equations, Journal of Elasticity, Vol. 56, No. 2, pp. 171-180 (1999).

  49. P. C. Varadi, G.-J. Lo, O. M. O’Reilly and P. Papadopoulos, A Novel Approach to Vehicle Dynamics using the Theory of a Cosserat point and its Application to Collision Analyses of Platooning Vehicles, Vehicle System Dynamics, Vol. 32, No. 2, pp. 85-108 (1999).

  50. O. M. O'Reilly and P. C. Varadi, A Treatment of Shocks in One-Dimensional Thermomechanical Media, Continuum Mechanics and Thermodynamics Vol. 11, No. 6, pp. 339-352 (1999).

  51. T. R. Nordenholz and O. M. O'Reilly, On the Existence of a Stretch for a Prescribed Stress in Isotropic, Incompressible Elastic Bodies, Mathematics and Mechanics of Solids, Vol. 3, No. 2, pp. 169-181 (1998).

  52. O. M. O'Reilly and P. C. Varadi, A Unified Treatment of Constraints in the Theory of a Cosserat Point, Journal of Applied Mathematics and Physics (ZAMP), Vol. 49, No. 2, pp. 205-223 (1998).

  53. T. R. Nordenholz and O. M. O'Reilly, On Steady Motions of Isotropic, Elastic Cosserat Points, IMA Journal of Applied Mathematics, Vol. 60, No. 1, pp. 55-72 (1998).

  54. O. M. O'Reilly, On Constitutive Relations for Elastic Rods, International Journal of Solids and Structures, Vol. 35, No. 11, pp. 1009-1024 (1998).

  55. O. M. O'Reilly, On the Computation of Relative Rotations and Geometric Phases in the Motions of Rigid Bodies,ASME Journal of Applied Mechanics, Vol. 64, No. 4, pp. 969-974 (1997).

  56. O. M. O’Reilly and J. S. Turcotte, Elastic Rods with Moderate Rotation, Journal of Elasticity, Vol. 48, No. 3, pp. 195-216 (1997).

  57. T. R. Nordenholz and O. M. O’Reilly, On Steady Motions of an Elastic Rod with Application to Contact Problems, International Journal of Solids and Structures, Vol. 34, No. 9, pp. 1123-1143 and 3211-3212 (1997).

  58. O. M. O’Reilly and J. S. Turcotte, Another Mode of Vibration in a Timoshenko Beam, Journal of Sound and Vibration, Vol. 198, No. 4, pp. 517-521 (1996).

  59. O. M. O’Reilly and J. S. Turcotte, Some Remarks on Invariance Requirements for Constrained Rods, Mathematics and Mechanics of Solids, Vol. 1, No. 3, pp. 343-348 (1996).

  60. O. M. O'Reilly and B. H. Tongue, Some Comments On Vehicle Instability Due to Brake Lockup, Journal of Sound and Vibration, Vol. 194, pp. 760-765 (1996).

  61. O. M. O’Reilly, The Dynamics of Rolling Disks and Sliding Disks, Nonlinear Dynamics, Vol. 10, No. 3, pp. 287-305 (1996).

  62. O. M. O’Reilly, N. K. Malhotra and N. S. Namachchivaya, Some Aspects of Destabilization of the Equilibria of Reversible Dynamical Systems with Application to Follower Forces, Nonlinear Dynamics, Vol.10, No. 1, pp. 63-87 (1996).

  63. O. M. O’Reilly, A Properly Invariant Theory of Infinitesimal Deformations of an Elastic Cosserat Point, Journal of Applied Mathematics and Physics (ZAMP), Vol. 47, No. 2, pp. 179-193 (1996).

  64. O. M. O’Reilly, Steady Motions of a Drawn Cable, ASME Journal of Applied Mechanics, Vol. 63, No. 1, pp. 180-189 (1996).

  65. T. R. Nordenholz and O. M. O’Reilly, On Kinematical Conditions for the Steady Motions of Strings and Rods, ASME Journal of Applied Mechanics, Vol. 62, No. 3, pp. 820-822 (1995).

  66. O. M. O’Reilly, A Properly Invariant Theory of Small Deformations Superposed on Large Deformations of an Elastic Rod, Journal of Elasticity, Vol. 39, No. 2, pp. 97-131 (1995).

  67. O. M. O’Reilly and P. Varadi,Elastic Equilibria of Translating Cables, Acta Mechanica, Vol. 108, No. 1-4, pp. 189-206, (1995).

  68. J. Dual and O. M. O’Reilly, Resonant Torsional Vibrations: An Application to Dynamic Viscometry, Archive of Applied Mechanics, Vol. 63, No. 7, pp. 437-451 (1993).

  69. O. M. O’Reilly, Global Bifurcations in the Forced Vibration of a Damped String, International Journal of Non-Linear Mechanics. Vol. 28, No. 3, pp. 337-351 (1993).

  70. O. O’Reilly and P.J. Holmes, Non-linear, Non-planar and Non-periodic Vibrations of a String, Journal of Sound and Vibration Vol. 153, No. 3, pp. 413-435 (1992) (Errata Vol. 159, p. 571.)

  71. A. Mielke, P. Holmes and O. O’Reilly, Cascades of Homoclinic Orbits to, and Chaos near, a Hamiltonian Saddle-Center, Journal of Dynamics and Differential Equations Vol. 4, No. 1, pp. 95-126 (1992).

 

Refereed Publications: Conference Proceedings

  1. M. F. Metzger, N. A. Faruk Senan, J. C. Lotz and O. M. O’Reilly, Revisiting the Stiffness Matrix with an Application to Total Disc Replacement Systems, in Proceedings of the 23rd Annual Meeting of the North American Spine Society, NASS 24th Annual Meeting published in The Spine Journal Vol. 5, No. 1, page 165S (2008).

  2. M. F. Metzger, J. M. Buckley, O. M. O’Reilly and J. C. Lotz, A Novel Method for Measuring the In-Situ Structural Rigidity of Total Disc Replacement Systems. Paper PA-TH16 Extended abstract on page 19 of the Abstract Book of Spine Arthroplasty Society Global Symposium on Motion Preservation Technology: 7th Annual Meeting (SAS7 Berlin), Berlin, Germany, May 1.-May 4, 2007.

  3. J. M. Buckley, M. F. Metzger, D. Bradford, J. C. Lotz and O. M. O’Reilly, How Accurately can we Measure the Instantaneous Axis of Rotation? Paper PA-TH17. Extended abstract on page 19 of the Abstract Book of Spine Arthroplasty Society Global Symposium on Motion Preservation Technology: 7th Annual Meeting (SAS7 Berlin), Berlin, Germany, May 1.-May 4, 2007.

  4. O. M. O’Reilly and J. S. Turcotte, On the free vibrations of a whirling rod. Proceedings of DETC’97: 1997 ASME Design Engineering Technical Conferences, September 14-17, 1997, Sacramento, California. Paper No. DETC97VIB4072.

 

Nonrefereed Publications: Archival Journals and Conference Proceedings

  1. W. O. Davis, A. P. Pisano and O. M. O’Reilly,Nonlinear Elastic Coupling in Tether-Suspended MEMS. Proceedings of the IEEE: 18th Annual International Conference on Micro Electro Mechanical Systems, (MEMS 2005), Miami, Florida, Jan 30.-Feb 3, 2005. pages 129-132.

  2. B. Bircumshaw, G. Lui, H. Takeuchi, T.-J. King, R. Howe, O. O’Reilly and A. P. Pisano,The Radial Bulk Annular Resonator: Towards a 50Omega RF MEMS Filter. Transducers ’03: The 12th International Conference on Solid-State Sensors, Actuators and Microsystems: Boston, June 8-12, 2003. Technical Digest of Papers Vol. 1, pages 875-878, Paper No. 2E120.P (2003). Published by the IEEE and EDS (IEEE-Catalog No. 03TH8664).

  3. O. M. O’Reilly and P. C. Varadi, A Treatment of Shocks in Thermoelastic Rods. Finite Thermoelasticity, Edited by J. Casey and R. Abeyaratne, ASME AMD-Vol. 236, pp. 105-115, 1999.

  4. O. M. O’Reilly and P. C. Varadi, A Traveler’s Woes: Some Perspectives from Dynamical Systems, in IUTAM Symposium on New Applications of Nonlinear and Chaotic Dynamics in Mechanics, Edited by F. C. Moon, pp. 397-406. Kluwer Academic Publishing, Dordrecht, 1999.

  5. O. M. O’Reilly, N. K. Malhotra and N. S. Namachchivaya, Reversible Dynamical Systems, Dissipation Induced Destabilization and Follower Forces, Applied Mathematics and Computation, Vol. 70, pp. 273-282, (1995).

  6. J. Marsden, O.M. O’Reilly, F.J. Wicklin and B.W. Zombro, Symmetry, Stability, Geometric Phases and Mechanical Integrators. Nonlinear Science Today (Part 1): Vol. 1, No. 1 pp. 4-11 and (Part 2):Vol. 1, No. 2 pp. 14-21 (1991).

Publications: Technical Reports and Edited Proceedings

  1. O. M. O’Reilly, P. Papadopoulos, G.-J. Lo and P. C. Varadi, Models of Vehicular Collision: Development and Simulation with Emphasis on Safety V: Medusa: Theory, Examples, User's Manual, Programmer's Guide and Code. California PATH Research Report UCB-ITS-PRR-99-32, 1999.

  2. O. M. O’Reilly and P. C. Varadi, A Traveler's Woes: Some Perspectives from Dynamical Systems, in IUTAM Symposium on New Applications of Nonlinear and Chaotic Dynamics in Mechanics, Edited by F. C. Moon, pp. 397-406. Kluwer Academic Publishing, Dordrecht, 1999.

  3. W. W. Clark, W. C. Xie, D. Allaei, Y. F. Hwang, N. S. Namachchivaya and O. M. O’Reilly, Active/Passive Vibration Control and Nonlinear Dynamics of Structures. ASME AMD-Vol. 223 (DE-Vol. 95) 1997.

  4. O. M. O’Reilly, P. Papadopoulos, G.-J. Lo and P. C. Varadi, Models of Vehicular Collision: Development and Simulation with Emphasis on Safety IV: An Improved Algorithm for Detecting Contact Between Vehicles. California PATH Research Report UCB-ITS-PRR-98-25, 1998.

  5. O. M. O’Reilly, P. Papadopoulos, G.-J. Lo and P. C. Varadi, Models of Vehicular Collision: Development and Simulation with Emphasis on Safety III: Computer Code, Programmer's Guide and User Manual for MEDUSA. California PATH Research Report UCB-ITS-PRR-98-10, 1998.

  6. O. M. O’Reilly, P. Papadopoulos, G.-J. Lo and P. C. Varadi, Models of Vehicular Collision: Development and Simulation with Emphasis on Safety II: On the Modeling of Collisions between Vehicles in a Platoon System. California PATH Research Report UCB-ITS-PRR-97-34, 1997.

  7. O. M. O’Reilly, P. Papadopoulos, G.-J. Lo and P. C. Varadi, Models of Vehicular Collision: Development and Simulation with Emphasis on Safety I: Development of a Model for a Single Vehicle. California PATH Research Report UCB-ITS-PRR-97-15, 1997.

 

Patents

    B. L. Bircumshaw, A. P. Pisano and O. M. O’Reilly, Radial Bulk Annular Resonator using MEMS Technology, U.S. Patent No. 6,894,586 (Issued May 17, 2005).

    B. L. Bircumshaw, O. M. O’Reilly and A. P. Pisano, MEMS Resonator and Method of Making Same, U.S. Patent No. 6,940,370 (Issued September 6, 2005).