ABAQUS Keywords Reference Manual  

*AMPLITUDE
Define an amplitude curve.

This option allows arbitrary time (or frequency in an ABAQUS/Standard analysis) variations of load, displacement, and other prescribed variable magnitudes to be given throughout a step.

Products: ABAQUS/Standard  ABAQUS/Explicit  

Type: Model or history data

Level: Model  Step  

Reference:

Required parameter:

NAME

Set this parameter equal to a label that will be used to refer to the amplitude curve.

Optional parameters:

DEFINITION

Set DEFINITION=TABULAR (default) to give the amplitude-time (or amplitude-frequency) definition in tabular form.

Set DEFINITION=EQUALLY SPACED, PERIODIC, MODULATED, DECAY, SMOOTH STEP, SOLUTION DEPENDENT, or BUBBLE to define the amplitude according to the definitions given in “Amplitude curves,” Section 19.1.2 of the ABAQUS Analysis User's Manual.

INPUT

Set this parameter equal to the name of the alternate input file containing the data lines for this option. See “Input syntax rules,” Section 1.2.1 of the ABAQUS Analysis User's Manual, for the syntax of such file names. If this parameter is omitted, it is assumed that the data follow the keyword line.

TIME

Set TIME=STEP TIME (default) for step time. If the step in which the amplitude is referenced is in the frequency domain, STEP TIME corresponds to frequency.

Set TIME=TOTAL TIME for total time accumulated over all non-perturbation analysis steps.

See “Conventions,” Section 1.2.2 of the ABAQUS Analysis User's Manual, for a discussion of these time measures.

VALUE

Set VALUE=RELATIVE (default) for relative magnitude definition.

Set VALUE=ABSOLUTE for direct input of absolute magnitudes. In this case the data line values in the load option are ignored. VALUE=ABSOLUTE should not be used when temperatures are specified for nodes connected to beam and shell elements whose section definition includes TEMPERATURE=GRADIENTS (default).

Required parameter for DEFINITION=EQUALLY SPACED: 

FIXED INTERVAL

Set this parameter equal to the fixed time (or frequency) interval at which the amplitude data will be given.

Optional parameter for DEFINITION=EQUALLY SPACED: 

BEGIN

Set this parameter equal to the time (or lowest frequency) at which the first amplitude is given. The default is BEGIN=0.0.

Optional parameter for DEFINITION=TABULAR or DEFINITION=EQUALLY SPACED: 

SMOOTH

Set this parameter equal to the fraction of the time interval before and after each time point during which the piecewise linear time variation is to be replaced by a smooth quadratic time variation in any case when time derivatives of the amplitude definition are required. The defaults are SMOOTH=0.25 in ABAQUS/Standard and SMOOTH=0.0 in ABAQUS/Explicit. The allowable range is 0.0 SMOOTH 0.5. A value of 0.05 is suggested for amplitude definitions that contain large time intervals to avoid severe deviation from the specified definition. This parameter is applicable only when time derivatives are needed (for displacement or velocity boundary conditions in a direct integration dynamic analysis) and is ignored for all other uses of this option.

Data lines to define tabular data (DEFINITION=TABULAR): 

First line:

  1. Time or frequency.

  2. Amplitude value (relative or absolute) at the first point.

  3. Time or frequency.

  4. Amplitude value (relative or absolute) at the second point.

  5. Etc., up to four pairs per line.

Repeat this data line as often as necessary. Each line (except the last one) must have exactly four time/magnitude or frequency/magnitude data pairs.

Data lines to define equally spaced data (DEFINITION=EQUALLY SPACED): 

First line:

  1. Amplitude value at the time or frequency given on the BEGIN parameter.

  2. Amplitude value at the next point.

  3. Etc., up to eight values per line.

Repeat this data line as often as necessary. Each line (except the last one) must have exactly eight amplitude values.

Data lines to define periodic data (DEFINITION=PERIODIC): 

First line:

  1. , the number of terms in the Fourier series.

  2. , the circular frequency, in radians per time.

  3. , the starting time.

  4. , the constant term in the Fourier series.

Second line:

  1. , the first coefficient of the cosine terms.

  2. , the first coefficient of the sine terms.

  3. , the second coefficient of the cosine terms.

  4. , the second coefficient of the sine terms.

  5. Etc., up to eight values per line.

Repeat this data line as often as necessary. Each line (except the last one) must have exactly eight entries, to a total of 2 entries.

Data line to define modulated data (DEFINITION=MODULATED): 

First (and only) line:

  1. .

  2. .

  3. .

  4. .

  5. .

Data line to define exponential decay (DEFINITION=DECAY): 

First (and only) line:

  1. , the constant term.

  2. , the coefficient of the exponential function.

  3. , the start time of the exponential function.

  4. , the decay time of the exponential funciton.

Data line to define a solution-dependent amplitude (DEFINITION=SOLUTION DEPENDENT): 

First (and only) line:

  1. Initial amplitude value (default = 1.0).

  2. Minimum amplitude value (default = 0.1).

  3. Maximum amplitude value (default = 1000.).

Data line to define smooth step data (DEFINITION=SMOOTH STEP): 

First line:

  1. Time or frequency.

  2. Amplitude value (relative or absolute) at the first point.

  3. Time or frequency.

  4. Amplitude value (relative or absolute) at the second point.

  5. Etc., up to four pairs per line.

Repeat this data line as often as necessary. Each line (except the last one) must have exactly four time/magnitude or frequency/magnitude data pairs.

Data line to define bubble loading (DEFINITION=BUBBLE): 

First line:

  1. Charge material constant, .

  2. Charge material constant, .

  3. Charge material constant, .

  4. Charge material constant, .

  5. Adiabatic charge constant, .

  6. Ratio of specific heats for gas, .

  7. Density of charge material, .

  8. Mass of charge material, .

  9. Depth magnitude of charge material, .

Second line:

  1. Fluid mass density, .

  2. Sound speed in fluid, .

  3. -direction cosine of fluid surface normal.

  4. -direction cosine of fluid surface normal.

  5. -direction cosine of fluid surface normal.

Third line:

  1. Acceleration due to gravity, .

  2. Atmospheric pressure, .

  3. Wave effect parameter, . Set to 1.0 for wave effects in the fluid and gas; set to 0.0 to neglect these effects.

  4. Flow drag coefficient, .

Fourth line:

  1. Time duration, .

  2. Maximum number of time steps for the bubble simulation, . The bubble amplitude simulation ceases when the number of steps reaches or the time duration, , is reached.

  3. Relative step size control parameter, .

  4. Absolute step size control parameter, .

  5. Step size control exponent, . The step size, , is decreased or increased according to the error estimate: .