Page 122 - Dynamic Loading and Design of Structures
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Page 99
Figure 3.6 (a) Galloping: definition diagram; (b) galloping: construction of force/displacement loop.
the motion. The energy input to the system per cycle is thus U a
(3.48)
The maximum value of the kinetic energy provides a simple estimate of the energy of
oscillation per unit length of prism U (say). The energy dissipated by damping by cycle is
thus
(3.49)
The condition for instability thus gives the critical velocity Vc, or the
corresponding reduced velocity VRC,
(3.50)
in which K is the Scruton number
s
