Abaqus Keywords Reference Guide  
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*PROBABILITY DENSITY FUNCTION
Specify a probability density function.

This option is used to define a probability density function.

Product: Abaqus/Explicit  

Type: Model data

Level: Part,  Part instance  

References:

Required parameters:

NAME

Set this parameter equal to the name of the probability density function.

TYPE

Set TYPE=UNIFORM to define a uniform probability density function.

Set TYPE=NORMAL to define a normal probability density function.

Set TYPE=LOGNORMAL to define a log-normal probability density function.

Set TYPE=PIECEWISE LINEAR to specify a histogram.

Set TYPE=DISCRETE to specify a discrete probability density function.

Data line to define a uniform probability density function (TYPE=UNIFORM): 

First (and only) line:

  1. Minimum value of random variable.

  2. Maximum value of random variable.

Data line to define a normal probability density function (TYPE=NORMAL or LOGNORMAL): 

First (and only) line:

  1. Minimum value of random variable.

  2. Maximum value of random variable.

  3. Mean value of random variable.

  4. Standard deviation of random variable.

Data lines to specify a histogram (TYPE=PIECEWISE LINEAR): 

First line:

  1. Enter the value of the random variable (midpoint of a range of values for a histogram).

  2. Enter the percentage of the total count that fall in this range of values.

Repeat this data line as often as necessary. Up to 8 pairs of entries are allowed per line.

Data line to define a constant probability density function (TYPE=DISCRETE): 

First (and only) line:

  1. Enter a discrete value of the random variable.

  2. Enter the probability of occurrence of this discrete value.