Nonlinear Dynamics
Active Faculty:
Andrew J. Szeri, nonlinear dynamics of bubbles & particles in fluid flow
Benson H. Tongue, efficient simulation of nonlinear flows
Publications:
- Kinkaid N.M., O'Reilly O.M. & Turcotte J.S. On the steady
motions of a rotating elastic rod. Journal of Applied Mechanics
Transacions of the ASME, 2001, vol. 68: 766-771.
- O'Reilly O.M. & Srinivasa A.R. On a decomposition of
generalized constraint forces. Proceedings of the Royal Society of London,
Series A, 2001, vol. 457: 1307-1313.
- Nordenholz T.R. & O'Reilly O.M. A class of motions of
elastic, symmetric Cosserat points: existence, bifurcation, and stability.
International Journal of Nonlinear Mechanics, 2001, vol. 36: 353-374.
- Lin, H. & Szeri, A. J. Shock formation in the presence of
entropy gradients. Journal of Fluid Mechanics, 2001, vol. 431: 161-188.
- Luo C. & O'Reilly O.M. On the material symmetry of elastic
rods. Journal of Elasticity, 2000, vol. 60: 35-56.
- Gulick D.W. & O'Reilly O.M. On the dynamics of the Dynabee.
Journal of Applied Mechanics Transacions of the ASME, 2000, vol. 67:
321-325.
- Moss, W. C., Levatin, J. L. & Szeri, A. J. A new damping
mechanism in strongly collapsing bubbles. Proceedings of the Royal Society
of London, 2000, vol. 456: 2983-2994.
- O'Reilly, O. M. & Varadi, P. C. Hoberman's sphere, Euler
parameters and Lagrange's equations. Journal of Elasticity, 1999, vol.
56:171-180.
- O'Reilly, O. M. & Varadi, P. C. A treatment of shocks in
one-dimensional thermomechanical media. Continuum Mechanics and
Thermodynamics, 1999, vol. 11:339-352.
- Vuong, V.Q., Szeri, A.J. & Young, D.A. Shock formation
within sonoluminescence bubbles, Physics of Fluids, 1999, vol. 11(1):
10-17.
- Fyrillas, M. M. & Szeri, A. J. Control of ultra- and
subharmonic resonances. Journal of Nonlinear Science, 1998, vol.8:
131-159.
- O'Reilly O.M., On the computation of relative rotations
and geometric phases in the motions of rigid bodies, Journal of Applied
Mechanics 64 (4): 969-974, 1997.
- O'Reilly O. M. & Tongue B. H. Some comments on vehicle
instability due to brake lockup. Journal of Sound and Vibration, 1996 Aug
1, vol. 194, no.5: 760-764.
- O'Reilly, O. M. & Turcotte, J. S. Another mode of vibration
in a Timoshenko beam. Journal of Sound and Vibration, 1996 Dec 12, vol.
198, no.4: 517-521.
- Ma, F. & Lee, W. C. On the equations of non-linear
vibrations. International Journal of Non-Linear Mechanics, 1996 Nov, vol.
31, no.6: 907-913.
- Szeri, A. J. Exploitation of brownian motions for the optimal
control of fiber orientation distributions. Physics of Fluids, June 1996,
vol.8, no.6: 1384-8.
- White M. T. & Tongue B. H. Application of interpolated cell
mapping to an analysis of the lorenz equations. Journal of Sound and
Vibration, 1995 Nov 29, vol. 188, no.2:209-226.
- Szeri, A. J. & Leal, L. G. Orientation dynamics and
stretching of particles in unsteady, three-dimensional fluid flows:
unsteady attractors. Chaos, Solitons and Fractals, June 1994, vol.4,
no.6:913-27.
- Dual J. & O'Reilly O. M. Resonant torsional vibrations - an
application to dynamic viscometry. Archive Of Applied Mechanics-Ingenieur
Archiv, 1993 Sep, vol. 63, no.7:437-451.
- O'Reilly O. M. Global bifurcations in the forced vibration of a
damped string. International Journal of Non-Linear Mechanics, 1993 May,
vol. 28, no.3:337-351.
- Szeri, A. J. Pattern formation in recirculating flows of
suspensions of orientable particles. Philosophical Transactions of the
Royal Society of London A, 1993, vol.345: 477-506.
- O'Reilly O & Holmes P. J. Non-linear, non-planar and
non-periodic vibrations of a string. Journal of Sound and Vibration, 1992
Mar 22, V153, no.3:413-435.
- Szeri, A. J., Milliken, W. J. & Leal, L. G. Rigid particles
suspended in time-dependent flows: irregular versus regular motion,
disorder vs. order. Journal of Fluid Mechanics, 1992, vol.237:33-56.
- Szeri, A. J. & Leal, L. G. The onset of chaotic oscillations
and subcritical cavitation of a spherical bubble in an incompressible
liquid. Physics of Fluids A, 1991, vol.3, no.4: 551-555.
- Flowers G. T. & Tongue B. H. Experimental study of the
effects of nonlinearities on ground resonance. Journal of Guidance Control
and Dynamics, 1990 Jul-Aug, vol. 13, no.4:725-731.
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