Research Homepage for Oliver M.
O'Reilly
Department of Mechanical Engineering
Research Interests and Activities
Dedicated
Websites:
Dynamics of the Human Spine,
Charles Taylor's one-wheeled vehicle,
Contact mechanics and brake squeal.
Rigid Body
Dynamics: Dynamics of satellites,
growing rigid bodies, rolling disks and sliding disks, and several toys such as
the Dynabee, Hoberman's sphere and Euler's disk. Previous research also includes
motorcycle navigation.
Dynamics of
the Human Spine :
Development of models to understand the mechanisms by which the spine
stabilizes and the effects of total disc replacements on this
stabilization.
MEMS Strain
Gauges and Resonator Design: Development
of a MEMS strain gauge technology, and temperature compensated MEMS resonator
design.
Cosserat Rod
Theories: Material symmetry and
constitutive relations for rods.
Dynamics of Rods with
Application to Axially Moving Materials, Plant Growth and DNA
Strands: Using rod theories to understand the vibrations
of axially moving materials and structural transitions in strands of DNA.
Most recently, I have become interested in
modeling plant growth.
Lagrange's
Equations of Motion: Establishing
Lagrange's equations of motion for systems of rigid bodies and various Cosserat
media using differential geometric methods.
Pseudospectra and
Nonlinear Stability: Using
pseudospectra to understand basins of attraction of fixed points of discrete
mechanical systems.
Discontinuous
Dynamical Systems: Models and
analysis of discrete dynamical systems featuring Coulomb friction. Application
to brake squeal and rigid body dynamics.
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