...
Time-history
...
analysis
...
provides
...
for
...
linear
...
or
...
...
evaluation
...
of
...
dynamic
...
structural
...
response
...
under
...
loading
...
which
...
may
...
vary according to the specified time function. Dynamic equilibrium equations, given by K u(t)
...
+
...
C
...
d
...
/
...
dt
...
u(t)
...
+
...
M
...
d
...
2
...
/
...
dt
...
u(t)
...
=
...
r(t),
...
are
...
solved
...
using
...
either
...
...
or
...
...
methods.
...
Initial
...
conditions
...
may
...
be
...
set
...
by
...
continuing
...
the
...
structural
...
state
...
from
...
the
...
end
...
of
...
the previous
...
analysis.
...
Additional notes include:
Step Size – Direct-integration methods are sensitive to time-step size, which should be decreased until results are not affected.
HHT Value – A slightly negative Hilber-Hughes-Taylor alpha value is also advised to damp out higher frequency modes, and to encourage convergence of nonlinear direct-integration solutions.
Nonlinearity – Material and geometric nonlinearity, including P-delta and large-displacement effects, may be simulated during nonlinear direct-integration time-history analysis.
See Also
Multi-support excitation article
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