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Time-history

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analysis

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provides

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for

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linear

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or

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nonlinear

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evaluation

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of

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dynamic

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structural

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response

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under

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loading

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which

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may

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vary according to the specified time function. Dynamic equilibrium equations, given by K u(t)

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+

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C

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d

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/

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dt

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u(t)

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+

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M

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d

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2

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/

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dt

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u(t)

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=

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r(t),

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are

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solved

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using

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either

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modal

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or

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direct-integration

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methods.

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Initial

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conditions

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may

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be

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set

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by

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continuing

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the

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structural

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state

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from

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the

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end

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of

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the previous

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analysis.

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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.

  • NonlinearityMaterial and geometric nonlinearity, including P-delta and large-displacement effects, may be simulated during nonlinear direct-integration time-history analysis.

  • LinksLink objects capture nonlinear behavior during modal (FNA) applications.

See Also

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Related Emails:

  • Email "Impact of time-step size (relative to modal periods) on results": (bm → , 7/14/2010, ID 3145753)

Related Incidents:

  • Incident 26167: Explains reason for inconsistent results for acceleration time-history input and displacement time-history input

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