I am a passionate and driven academic who is committed to multidisciplinary working (health/clinical). I strive to ensure that the interrelationship between research informed teaching and enterprise informed teaching is maintained to enhance the delivery of undergraduate and postgraduate curriculums. I have a particular interest in the role of spinal biomechanics & spinal orthotics.
I am a passionate and driven academic who is committed to multidisciplinary working (health/clinical). I strive to ensure that the interrelationship between research informed teaching and enterprise informed teaching is maintained to enhance the delivery of undergraduate and postgraduate curriculums. I have a particular interest in the role of spinal biomechanics & spinal orthotics.
2. Discrete lumped mass:
• §Discrete model
• the governing equations are ordinary differential
equations,
• relatively easy to solve.
• §In many cases, known as distributed or continuous
systems, it is not possible to identify discrete
masses, dampers.
• §A continuous distribution of the mass, damping,
and elasticity
• each of the infinite number of points of the
system can vibrate.
• ♾ degrees of freedom.
• §Continuous model, the governing equations are
3. Continuous Systems:
§Examples are:
• A string
• A shaft (torsional)
• A beam (longitudinal and transverse)
• A membrane (plate-transverse)
§ infinite degrees of freedom = infinite modes of
vibration!!!
§1-n 1st, 2nd, 3rd,……..nth
§ Each with a characteristic frequency and mode
shape.
§Can ‘all’ be occurring simultaneously- lower order
ones tend to dominate
4. Continuous Systems:
An added (essential!!!) factor is that the modes
of vibration also depend on how the system is
fixed in space-
• Simply supported
• Clamped
• Free
• Any external forces or moments
