Adjoint design sensitivity analysis for implicit transient dynamic procedures

This problem contains basic test cases for one or more Abaqus elements and features.

This page discusses:

Elements tested
Features tested
Problem description
Results and discussion
Input files

Products Abaqus/Standard

Elements tested

CPS4
C3D8
S4

Features tested

This section includes a general set of simple tests to verify the adjoint design sensitivity analysis techniques for shell and solid continuum elements for an implicit transient dynamic step. Geometric nonlinearity, contact (with friction), and multi-point constraints are used for the models. A full range of design variables are used, including those related to topology and sizing sensitivities.

Problem description

All tests use elastic constitutive material properties. The design parameters are either relative material density or shell element thickness. Design responses are defined at a number of time points.

Results and discussion

All adjoint sensitivity results are verified by comparing them to results obtained using finite difference calculations.

Input files

CPS4_dyn_DV_Stiff.inp: Topology sensitivities for CPS4 elements with relative material density as design variables.

S4_dyn_DV_Stiff.inp: Topology sensitivities for S4 elements with relative material density as design variables.

S4_dyn_DV_Thick.inp: Sizing sensitivities for S4 elements with shell thickness as design variables.
C3D8_dyn_MD_DV_Node.inp: Shape sensitivities for C3D8 elements in a moderate dissipation application transient dynamic analysis with nodal positions as design variables.
C3D8_dyn_QS_DV_Node.inp: Shape sensitivities for C3D8 elements in a quasi-static application transient dynamic analysis with nodal positions as design variables.
C3D8_dyn_TF_DV_Node.inp: Shape sensitivities for C3D8 elements in a transient fidelity application transient dynamic analysis with nodal positions as design variables.
CPS4_dyn_Cont_Nonlin_DV_Node.inp: Shape sensitivities for CPS4 elements in a nonlinear transient dynamic analysis involving contact with nodal positions as design variables.
S4_dyn_MPC_DV_Node.inp: Bead sensitivities for S4 elements in a transient dynamic analysis involving multi-point constraints with nodal positions as design variables.