SensitivityIntegrator Command

• Sensitivity_Command_Manual
  • General Commands
    • reliability
    • parameter
    • addToParameter
    • updateParameter
    • sensitivityIntegrator
    • sensitivityAlgorithm
    • recorder
  • Material Commands
    • uniaxialMaterial
    • nDmaterial
  • Section Commands
    • Fiber
    • Elastic
    • Aggregator
  • Element Commands
    • dispBeamColumnWithSensitivity
    • quadWithSensitivity
    • bbarBrickWithSensitivity
  • Constraint Commands
    • Transformation

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For static analysis, the only option currently available is the following, which must be defined before the ‘analysis’ command.

sensitivityIntegrator -static

For the dynamic case, currently only the Newmark algorithm is available. Two command need to be used together:

integrator NewmarkWithSensitivity $gamma $beta

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$gamma	Newmark parameter gamma.
$beta	Newmark parameter beta.

sensitivityIntegrator -definedAbove

Currently, ‘-definedAbove’ is the only option available in OpenSees. This means that the same integration scheme (i.e.,

‘NewmarkWithSensitivity’) is used to perform both response and response sensitivity analysis.

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Reference:

： Haukaas T., Der Kiureghian A. (2004). “Finite element reliability and sensitivity methods for performance-based earthquake ： engineering.” Report No. 2003/14, Pacific Earthquake Engineering Research Center, April 2004.

： Haukaas T., Der Kiureghian A. (2005). “Parameter sensitivity and importance measures in nonlinear finite element reliability ： analysis.” Journal of Engineering Mechanics (ASCE), 131(10):1013-1026.