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Publications

2026

  • Chern, C. and O’Reilly, O.M. (2026). On Complex Modal Inverse Analysis: The Cautionary Tale of the Single Surviving Mode. ASME Journal of Applied Mechanics, Accepted for publication.
  • Honein, T.E. and O’Reilly, O.M. (2026). The Accessibility of a Hula Hoop: Insights from the Belyakov-Seyranian Model. Meccanica, https://doi.org/10.1007/s11012-026-02157-9.

2025

2024

2022

  • Goldberg, N.N. and O’Reilly, O.M. (2022). A Material Momentum Balance Law for Shells and Plates with Application to Phase Transformations and Adhesion. Acta Mechanica, 233(9), 3535–3555. https://doi.org/10.1007/s00707-022-03287-3
  • Goldberg, N.N. and O’Reilly, O.M. (2022). Electrostatically Actuated MEMS in the Post-Touchdown Regime: The Thin-Dielectric Limit and a Novel Reduced-Order Model for Release Dynamics. International Journal of Solids and Structures, 252, 111812. https://doi.org/10.1016/j.ijsolstr.2022.111812
  • Goldberg, N.N. and O’Reilly, O.M. (2022). New Representations for the Curvature Tensor of a Surface with Application to Theories of Elastic Shells. Journal of Elasticity, 148(2), 199–206. https://doi.org/10.1007/s10659-022-09885-5

2021

  • Honein, T.E. and O’Reilly, O.M. (2021). On the Gibbs–Appell Equations for the Dynamics of Rigid Bodies. ASME Journal of Applied Mechanics, 88(7), 074501. https://doi.org/10.1115/1.4051181
  • Honein, T.E. and O’Reilly, O.M. (2021). The Geometry of Equations of Motion: Particles in Equivalent Universes. Nonlinear Dynamics, 104(4), 2979–2994. https://doi.org/10.1007/s11071-021-06565-2
  • Goldberg, N.N. and O’Reilly, O.M. (2021). Pervasive Nonlinear Vibrations Due to Rod–Obstacle Contact. Nonlinear Dynamics, 103(3), 2169–2181. https://doi.org/10.1007/s11071-021-06245-1
  • Hemingway, E.G. and O’Reilly, O.M. (2021). Continuous Models for Peristaltic Locomotion with Application to Worms and Soft Robots. Biomechanics and Modeling in Mechanobiology, 20, 5–30. https://doi.org/10.1007/s10237-020-01365-w

2020

2019

  • Goldberg, N.N., Huang, X., Majidi, C., Novelia, A., O’Reilly, O.M., Paley, D.A., and Scott, W.L. (2019). On Planar Discrete Elastic Rod Models for the Locomotion of Soft Robots. Soft Robotics, 6(5), 595–610. https://doi.org/10.1089/soro.2018.0104
  • Kim, H.-T. and O’Reilly, O.M. (2019). On the Effects of a Buoyancy Module on the Dynamics of Flexible Risers Transporting Fluid. In Proc. 29th International Offshore and Polar Engineering Conference, Honolulu, HI, Vol. 2, 1824–1831. https://www.onepetro.org/conference-paper/ISOPE-I-19-181
  • Kim, H.-T. and O’Reilly, O.M. (2019). Instability of Catenary-Type Flexible Risers Conveying Fluid in Subsea Environments. Ocean Engineering, 173, 98–115. https://doi.org/10.1016/j.oceaneng.2018.12.042
  • Akella, P., O’Reilly, O.M., and Sreenath, K. (2019). Controlling the Locomotion of Spherical Robots or why BB-8 Works. ASME Journal of Mechanisms and Robotics, 11(2), 024501. http://dx.doi.org/10.1115/1.4042296
  • O’Reilly, O.M. (2019). Engineering Dynamics: A Primer (3rd ed.). Springer-Verlag, New York. http://dx.doi.org/10.1007/978-3-030-11745-0

2018

  • Hemingway, E.G. and O’Reilly, O.M. (2018). Perspectives on Euler Angle Singularities, Gimbal Lock, and the Orthogonality of Applied Forces and Applied Moments. Multibody System Dynamics, 44(1), 31–56. https://doi.org/10.1007/s11044-018-9620-0
  • Jawed, M.K., Novelia, A., and O’Reilly, O.M. (2018). A Primer on the Kinematics of Discrete Elastic Rods. SpringerBriefs in Applied Sciences and Technology, Springer-Verlag, New York. http://dx.doi.org/10.1007/978-3-319-76965-3

2017

  • Daily-Diamond, C.A., Novelia, A., and O’Reilly, O.M. (2017). Dynamical Analysis and Development of a Biologically Inspired SMA Caterpillar Robot. Bioinspiration and Biomimetics, 21(5), 056005. https://doi.org/10.1088/1748-3190/aa8472
  • Daily-Diamond, C.A., Gregg, C.E., and O’Reilly, O.M. (2017). The Roles of Impact and Inertia in the Failure of a Shoelace Knot. Proceedings of the Royal Society of London A, 473(2200), 2016.0770. http://dx.doi.org/10.1098/rspa.2016.0770
  • de Payrebrune, K.M. and O’Reilly, O.M. (2017). On the Development of Rod-Based Models for Pneumatically Actuated Soft Robot Actuators: A Five-Parameter Constitutive Relation. International Journal of Solids and Structures, 120, 226–235. http://dx.doi.org/10.1016/j.ijsolstr.2017.05.003
  • de Payrebrune, K.M. and O’Reilly, O.M. (2017). Numerical Investigation of a Walking Soft Robot. Proceedings in Applied Mathematics and Mechanics (PAMM), 17(1), 339–340. https://doi.org/10.1002/pamm.201710139
  • O’Reilly, O.M. (2017). Modeling Nonlinear Problems in the Mechanics of Strings and Rods: The Role of the Balance Laws. Interaction of Mechanics and Mathematics, Springer. http://dx.doi.org/10.1007/978-3-319-50598-5

2016

  • de Payrebrune, K.M. and O’Reilly, O.M. (2016). On Constitutive Relations for a Rod-Based Model of a Pneu-Net Bending Actuator. Extreme Mechanics Letters, 8, 38–46. http://dx.doi.org/10.1016/j.eml.2016.02.007
  • de Payrebrune, K.M. and O’Reilly, O.M. (2016). An Experimentally Validated Rod Model for Soft Continuum Robots. Proceedings in Applied Mathematics and Mechanics (PAMM), 16(1), 317–318. http://dx.doi.org/10.1002/pamm.201610147

2015

  • Diamond, C.A., Judge, C.Q., Orazov, B., Savaş, Ö., and O’Reilly, O.M. (2015). Mass-Modulation Schemes for a Class of Wave Energy Converters: Experiments, Models, and Efficacy. Ocean Engineering, 104, 452–468. https://doi.org/10.1016/j.oceaneng.2015.05.018
  • Novelia, A. and O’Reilly, O.M. (2015). On the Dynamics of the Eye: Geodesics on a Configuration Manifold, Motions of the Gaze Direction and Helmholtz’s Theorem. Nonlinear Dynamics, 80(3), 1303–1327. http://dx.doi.org/10.1007/s11071-015-1945-0
  • Novelia, A. and O’Reilly, O.M. (2015). On Geodesics of the Rotation Group SO(3). Regular and Chaotic Dynamics, 20(6), 729–738. http://dx.doi.org/10.1134/S1560354715060088
  • O’Reilly, O.M. (2015). Some Perspectives on Eshelby-Like Forces in the Elastica Arm Scale. Proceedings of the Royal Society A, 471(2174), 20140785. http://dx.doi.org/10.1098/rspa.2014.0785
  • Zhou, X., Majidi, C., and O’Reilly, O.M. (2015). Flexing Into Motion: A Locomotion Mechanism for Soft Robots. International Journal of Non-Linear Mechanics, 74, 7–17. http://dx.doi.org/10.1016/j.ijnonlinmec.2015.03.001
  • Zhou, X., Majidi, C., and O’Reilly, O.M. (2015). Soft hands: An Analysis of Some Gripping Mechanisms in Soft Robot Design. International Journal of Solids and Structures, 64–65, 155–165. http://dx.doi.org/10.1016/j.ijsolstr.2015.03.021
  • Zhou, X. and O’Reilly, O.M. (2015). On Adhesive and Buckling Instabilities in the Mechanics of Carbon Nanotubes Bundles. ASME Journal of Applied Mechanics, 82(10), 101007. http://dx.doi.org/10.1115/1.4030976

2014

  • Zhou, X., Majidi, C., and O’Reilly, O.M. (2014). Energy Efficiency in Friction-Based Locomotion Mechanisms for Soft and Hard Robots: Slower can be Faster. Nonlinear Dynamics, 78(4), 2811–2821. http://dx.doi.org/10.1007/s11071-014-1627-3

2013

  • Christophy, M., Curtin, M., Faruk Senan, N.A., Lotz, J.C., and O’Reilly, O.M. (2013). On the Modeling of the Intervertebral Joint in Multibody Models for the Spine. Multibody System Dynamics, 30, 413–432. https://doi.org/10.1007/s11044-012-9331-x
  • Diamond, C.A., O’Reilly, O.M., and Savaş, Ö. (2013). The Impulsive Effects of Momentum Transfer on the Dynamics of a Novel Ocean Wave Energy Converter. Journal of Sound and Vibration, 332(21), 5559–5565. https://doi.org/10.1016/j.jsv.2013.05.030
  • O’Reilly, O.M. and Srinivasa, A.R. (2013). A Simple Treatment of Constraint Forces and Constraint Moments in the Dynamics of Rigid Bodies. ASME Applied Mechanics Reviews, 67(1), 014801-1–8. http://dx.doi.org/10.1115/1.4028099
  • O’Reilly, O.M., Sena, M., Feely, B.T., and Lotz, J.C. (2013). On Representations for Joint Moments Using a Joint Coordinate System. Journal of Biomechanical Engineering, 135(11), 114504. http://dx.doi.org/10.1115/1.4025327

2012

  • Christophy, M., Faruk Senan, N.A., Lotz, J.C., and O’Reilly, O.M. (2012). A Musculoskeletal Model for the Lumbar Spine. Biomechanics and Modeling in Mechanobiology, 11, 19–34. https://doi.org/10.1007/s10237-011-0290-6
  • Majidi, C., O’Reilly, O.M., and Williams, J.A. (2012). On the Stability of a Rod Adhering to a Rigid Surface: Shear-Induced Stable Adhesion and the Instability of Peeling. Journal of the Mechanics and Physics of Solids, 60(5), 827–843. http://dx.doi.org/10.1016/j.jmps.2012.01.015
  • O’Reilly, O.M. and Peters, D.M. (2012). Nonlinear Stability Criteria for Tree-Like Structures Composed of Branched Elastic Rods. Proceedings of the Royal Society A, 468(2137), 206–226. http://dx.doi.org/10.1098/rspa.2011.0291

2011

  • O’Callaghan, L., O’Reilly, O.M., and Zhornitskaya, L. (2011). On Azimuthal Shear Waves in a Transversely Isotropic Viscoelastic Mixture: Application to Diffuse Axonal Injury. Mathematics and Mechanics of Solids, 16(6), 625–636. https://doi.org/10.1177/1081286510387855
  • O’Reilly, O.M. and Peters, D.M. (2011). On the Stability Analyses of Three Classical Buckling Problems for the Elastic Strut. Journal of Elasticity, 105(1–2), 117–136. http://dx.doi.org/10.1007/s10659-010-9299-9
  • O’Reilly, O.M. and Tresierras, T.N. (2011). On the Static Equilibria of Branched Elastic Rods. International Journal of Engineering Science, 49(2), 212–227. http://dx.doi.org/10.1016/j.ijengsci.2010.11.008
  • O’Reilly, O.M. and Tresierras, T.N. (2011). On the Evolution of Intrinsic Curvature in Rod-Based Models of Growth in Long Slender Plant Stems. International Journal of Solids and Structures, 48(9), 1239–1247. http://dx.doi.org/10.1016/j.ijsolstr.2010.12.006

2010

  • Lattanza, L.L., Chu, T., Ty, J.M., Orazov, B., Strauss, N., O’Reilly, O.M., and Buckley, J.M. (2010). Interclinician and Intraclinician Variability in the Mechanics of the Pivot Shift Test for Posterolateral Rotatory Instability (PLRI) of the Elbow. Journal of Shoulder and Elbow Surgery, 19(8), 1150–1156. https://doi.org/10.1016/j.jse.2010.05.018
  • Metzger, M.F., Faruk Senan, N.A., and O’Reilly, O.M. (2010). On Cartesian Stiffness Matrices in Rigid Body Dynamics: An Energetic Perspective. Multibody System Dynamics, 24(4), 441–472. https://doi.org/10.1007/s11044-010-9205-z
  • Metzger, M.F., Faruk Senan, N.A., O’Reilly, O.M., and Lotz, J.C. (2010). Minimizing Errors Associated with Calculating the Location of the Helical Axis for Spinal Motions. Journal of Biomechanics, 43(14), 2822–2829. https://doi.org/10.1016/j.jbiomech.2010.05.034
  • Orazov, B., O’Reilly, O.M., and Savaş, Ö. (2010). On the Dynamics of a Novel Ocean Wave Energy Converter. Journal of Sound and Vibration, 329(24), 5058–5069. http://dx.doi.org/10.1016/j.jsv.2010.07.007

2009

  • Faruk Senan, N.A. and O’Reilly, O.M. (2009). On the Use of Quaternions and Euler–Rodrigues Symmetric Parameters with Moments and Moment Potentials. International Journal of Engineering Science, 47(4), 595–609. http://dx.doi.org/10.1016/j.ijengsci.2008.12.008
  • O’Reilly, O.M., Metzger, M.F., Buckley, J.M., Moody, D.A., and Lotz, J.C. (2009). On the Stiffness Matrix of the Intervertebral Joint: Application to Total Disk Replacement. Journal of Biomechanical Engineering, 131(8), 63–87. http://dx.doi.org/10.1115/1.3148195

2008

  • Azevedo, R.G., Huang, W., O’Reilly, O.M., and Pisano, A.P. (2008). Dual-Mode Temperature Compensation for a Comb-Driven MEMS Resonant Strain Gauge. Sensors and Actuators A: Physical, 144(2), 374–380. http://dx.doi.org/10.1016/j.sna.2008.02.007
  • Faruk Senan, N.A., O’Reilly, O.M., and Tresierras, T.N. (2008). Modeling the Growth and Branching of Plants: A Simple Rod-Based Model. Journal of the Mechanics and Physics of Solids, 56(10), 3021–3036. http://dx.doi.org/10.1016/j.jmps.2008.06.005
  • Lew, E.S., Orazov, B., and O’Reilly, O.M. (2008). The Dynamics of Charles Taylor’s Remarkable One-Wheeled Vehicle. Regular & Chaotic Dynamics, 13(3), 257–266. http://dx.doi.org/10.1134/S1560354708040035

2007

2006

2005

  • Coaplen, J.P., Kessler, P., O’Reilly, O.M., Stevens, D.M., and Hedrick, J.K. (2005). On Navigation Systems for Motorcycles: The Influence and Estimation of Roll Angle. Journal of Navigation, 58(3), 375–388. http://dx.doi.org/10.1017/S037346330500336X
  • Kinkaid, N.M., O’Reilly, O.M., and Papadopoulos, P. (2005). On the Transient Dynamics of a Multi-Degree-of-Freedom Friction Oscillator: A New Mechanism for disc brake noise. Journal of Sound and Vibration, 287(4–5), 901–917. http://dx.doi.org/10.1016/j.jsv.2004.12.005
  • Lauderdale, T.A. and O’Reilly, O.M. (2005). Modeling MEMS Resonators with Rod-Like Components Accounting for Anisotropy, Temperature, and Strain Dependencies. International Journal of Solids and Structures, 42(26), 6523–6549. http://dx.doi.org/10.1016/j.ijsolstr.2005.06.010

2004

  • Davis, W.O., O’Reilly, O.M., and Pisano, A.P. (2004). On the Nonlinear Dynamics of Tether Suspensions for MEMS. ASME Journal of Vibration and Acoustics, 126(3), 326–331. http://dx.doi.org/10.1115/1.1760558
  • Ong, J.J. and O’Reilly, O.M. (2004). On the Equations of Motion for Rigid Bodies with Surface Growth. International Journal of Engineering Science, 42(19–20), 2159–2174. http://dx.doi.org/10.1016/j.ijengsci.2004.07.010
  • O’Reilly, O.M. and Tan, M.H. (2004). Steady Motions of an Axisymmetric Satellite: An Atlas of Their Bifurcations. International Journal of Non-Linear Mechanics, 39(6), 921–940. http://dx.doi.org/10.1016/S0020-7462(03)00075-1
  • O’Reilly, O.M. and Varadi, P.C. (2004). 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, 71(4), 541–545. http://dx.doi.org/10.1115/1.1756139

2003

  • Kinkaid, N.M., O’Reilly, O.M., and Papadopoulos, P. (2003). Automotive Disk Brake Squeal. Journal of Sound and Vibration, 267(1), 105–166. http://dx.doi.org/10.1016/S0022-460X(02)01573-0
  • O’Reilly, O.M. and Thoma, B.L. (2003). On the Dynamics of a Deformable Satellite in the Gravitational Field of a Spherical Rigid Body. Celestial Mechanics & Dynamical Astronomy, 86(1), 1–28. http://dx.doi.org/10.1023/A:1023648221628
  • O’Reilly, O.M. and Varadi, P.C. (2003). On Energetics and Conservations for Strings in the Presence of Singular Sources of Momentum and Energy. Acta Mechanica, 165(1–2), 27–45. http://dx.doi.org/10.1007/s00707-003-0032-7

2002

2001

2000

1999

  • O’Reilly, O.M. and Varadi, P.C. (1999). Hoberman’s Sphere, Euler Parameters and Lagrange’s Equations. Journal of Elasticity, 56(2), 171–180. http://dx.doi.org/10.1023/A:1007624027030
  • Varadi, P.C., Lo, G.-J., O’Reilly, O.M., and Papadopoulos, P.P. (1999). 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, 32(1), 85–108. http://dx.doi.org/10.1076/vesd.32.1.85.4227

1998

  • Nordenholz, T.R. and O’Reilly, O.M. (1998). On Steady Motions of Isotropic, Elastic Cosserat Points. IMA Journal of Applied Mathematics, 60(1), 55–72. http://dx.doi.org/10.1093/imamat/60.1.55
  • Nordenholz, T.R. and O’Reilly, O.M. (1998). On the Existence of a Stretch for a Prescribed Stress in Isotropic, Incompressible Elastic Materials. Mathematics and Mechanics of Solids, 3(2), 169–181. http://dx.doi.org/10.1177/108128659800300203
  • O’Reilly, O.M. (1998). On Constitutive Relations for Elastic Rods. International Journal of Solids and Structures, 35(11), 1009–1024. http://dx.doi.org/10.1016/S0020-7683(97)00100-5
  • O’Reilly, O.M. and Varadi, P.C. (1998). A Unified Treatment of Constraints in the Theory of a Cosserat Point. ZAMP — Journal of Applied Mathematics and Physics, 49(2), 205–223. http://dx.doi.org/10.1007/s000330050216

1997

1996

  • O’Reilly, O.M. (1996). Steady Motions of a Drawn Cable. ASME Journal of Applied Mechanics, 63(1), 180–189. http://dx.doi.org/10.1115/1.2787196
  • O’Reilly, O.M. (1996). The Dynamics of Rolling Disks and Sliding Disks. Nonlinear Dynamics, 10(3), 287–305. http://dx.doi.org/10.1007/BF00045108
  • O’Reilly, O.M. (1996). A Properly Invariant Theory of Infinitesimal Deformations of an Elastic Cosserat Point. ZAMP — Journal of Applied Mathematics and Physics, 47(2), 179–193. http://dx.doi.org/10.1007/BF00916823
  • O’Reilly, O.M., Malhotra, N.K., and Namachchivaya, N.S. (1996). Some Aspects of Destabilization of the Equilibria of Reversible Dynamical Systems with Application to Follower Forces. Nonlinear Dynamics, 10(1), 63–87. http://dx.doi.org/10.1007/BF00114799
  • O’Reilly, O.M. and Tongue, B.H. (1996). Some Comments on Vehicle Instability due to Brake Lockup. Journal of Sound and Vibration, 194(5), 760–764. http://dx.doi.org/10.1006/jsvi.1996.0393
  • O’Reilly, O.M. and Turcotte, J.S. (1996). Another Mode of Vibration in a Timoshenko Beam. Journal of Sound and Vibration, 198(4), 517–521. http://dx.doi.org/10.1006/jsvi.1996.0585
  • O’Reilly, O.M. and Turcotte, J.S. (1996). Some Remarks on Invariance Requirements for Constrained Rods. Mathematics and Mechanics of Solids, 1(3), 343–348. http://dx.doi.org/10.1177/108128659600100306

1995

  • Nordenholz, T.R. and O’Reilly, O.M. (1995). On Kinematical Conditions for Steady Motions of Strings and Rods. ASME Journal of Applied Mechanics, 62(3), 820–822. https://doi.org/10.1115/1.2897023
  • O’Reilly, O.M. (1995). A Properly Invariant Theory of Small Deformations Superposed on Large Deformations of an Elastic Rod. Journal of Elasticity, 39(2), 97–131. http://dx.doi.org/10.1007/BF00043412
  • O’Reilly, O.M. and Varadi, P. (1995). Elastic Equilibria of Translating Cables. Acta Mechanica, 108(1–4), 189–206. http://dx.doi.org/10.1007/BF01177338

1993

1992

  • Mielke, A., Holmes, P., and O’Reilly, O. (1992). Cascades of Homoclinic Orbits to, and Chaos near, a Hamiltonian Saddle-Center. Journal of Dynamics and Differential Equations, 4(1), 95–126. http://dx.doi.org/10.1007/BF01048157
  • O’Reilly, O.M. and Holmes, P.J. (1992). Non-Linear, Non-Planar and Non-Periodic Vibrations of a String. Journal of Sound and Vibration, 153(3), 413–435. http://dx.doi.org/10.1016/0022-460X(92)90374-7