User guide
calculated. The response spectra calculation must be
run again if the limits given in the ‘Options’ window
are changed after the response spectra calculation
was made);
20. Arias intensity (AI) in velocity units based on the
selected acceleration unit calculated from
where g is acceleration due to gravity in ms
-2
(i.e.
g=9.80665ms
-2
) and a(t) is ground acceleration (Arias,
1970);
21. normalized energy density (ED) in units based on the
selected velocity unit calculated from
where v(t) is ground velocity [see Sarma (1971)] [note
that, to get the true energy density, the normalized
energy density should be multiplied by Vρ/4 where V
is wave velocity and ρ is mass density of the
recording site (Sarma, 1971)];
22. cumulative absolute velocity (CAV) in selected
velocity units calculated from
where
a(t)
is the ground acceleration,
N
is the number
of 1-second time windows in the time series,
PGA
i
is
the PGA (in g) during time window i,
t
i
is the start time
of time window i,
a
min
is an acceleration threshold
(user-defined but commonly 0.025g) to exclude low
amplitude motions contributing to the sum and
H(x)
is
the Heaviside step function (unity for x>0 and 0
otherwise) (EPRI, 2006);
23. number of absolute effective cycles (peak counting
including non-zero crossings) in acceleration time-
history (Hancock & Bommer, 2005);
24. number of equivalent effective cycles using user-
defined damage exponent (peak counting including
non-zero crossings) in acceleration time-history
(Hancock & Bommer, 2005);
May 2009 31
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