DDM-Based Response Sensitivity Computation Tcl Commands:

Introduction

The following Analysis commands are added to the interpreter to create the Analysis and perform the analysis:

General commands

reliability Command

This command creates the reliability domain in which the sensitivity, reliability and optimization components are kept. This

reliability domain is parallel to the finite element (FE) domain in OpenSees. Currently, the commands for stand-alone sensitivity : analysis (e.g., sensitivityIntegrator, sensitivityAlgorithm) are set in the reliability domain only and, thus, the ‘reliability’

reliability

parameter Command

In DDM-based FE response sensitivity analysis, the sensitivity parameters can be material,

geometry or discrete loading parameters. Each parameter should be defined as:

parameter $tag <specific object arguments>

UniaxialMaterial Commands

Several uniaxial materials are available for DDM-based FE response sensitivity computation.

SteelMP Command

This command is used to construct a uniaxial Menegotto-Pinto steel material object.

Reference:

Barbato M., Conte J.P. (2006). “Finite element structural response sensitivity and reliability analyses using smooth versus

non-smooth material constitutive models.” International Journal of Reliability and Safety, 1(1-2):3-39.

uniaxialMaterial SteelMP $matTag $sigmaY $E $b

SmootPSConcrete Command

This command is used to construct a uniaxial smoothed Popovics-Saenz concrete material object,

Reference:

Zona A., Barbato M., Conte J.P. (2005). “Finite element response sensitivity analysis of steel-concrete composite beams with

deformable shear connection.” Journal of Engineering Mechanics (ASCE), 131(11):1126–1139.

uniaxialMaterial SmoothPSConcrete $matTag $fc $fu $Ec $epso $epsu $eta