Design sensitivity analysis for structural elements

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

This page discusses:

ProductsAbaqus/Design

Elements tested

  • B21
  • B21H
  • B22
  • B22H
  • B23
  • B23H
  • B31
  • B31H
  • B31OS
  • B31OSH
  • B32
  • B32H
  • B32OS
  • B32OSH
  • B33
  • B33H
  • M3D3
  • M3D4
  • M3D4R
  • M3D6
  • M3D8
  • M3D8R
  • M3D9
  • M3D9R
  • MAX1
  • MAX2
  • MGAX1
  • MGAX2
  • S4R
  • S4R5
  • S4
  • S3R
  • STRI3
  • S8R
  • S8R5
  • S9R5
  • STRI65
  • SAX1
  • SAX2
  • SAXA14
  • SAXA24
  • T2D2
  • T2D2H
  • T2D3
  • T2D3H
  • T3D2
  • T3D2H
  • T3D3
  • T3D3H

Features tested

This section includes a general set of simple tests to verify the design sensitivity analysis (DSA) technique for membrane and shell elements. Geometrically linear and nonlinear tests are done for both total and incremental DSA formulations. A full range of design parameters is used, including those related to sizing (for example, material properties, thickness) and shape (that is, nodal coordinates). All problems test static steps, and some selected problems also test frequency steps.

Problem description

All problems are two-element models with elastic or composite material properties. The models are fixed at one end and loaded using displacements, point loads, or distributed loads at the opposite end. At least one material property and one nodal coordinate are used as design parameters for each test; a sizing parameter, such as thickness, is also used as a design parameter if appropriate for the particular model.

Results and discussion

All sensitivity results are verified by comparison to hand calculations or to overall finite difference results.

Input files

pdsatottruss.inp

Total DSA with truss elements.

pdsainctruss.inp

Incremental DSA with truss elements; includes frequency step.

pdsatotm3d.inp

Total DSA with membrane elements.

pdsaincm3d.inp

Incremental DSA with membrane elements; includes frequency step.

pdsatotmax.inp

Total DSA with axisymmetric membrane elements.

pdsaincmax.inp

Incremental DSA with axisymmetric membrane elements.

pdsatotmaxa.inp

Total DSA with axisymmetric membrane elements with twist.

pdsaincmaxa.inp

Incremental DSA with axisymmetric membrane elements with twist.

pdsaincbeam.inp

Incremental DSA with beam elements.

pdsatots3d.inp

Total DSA with shell elements; includes frequency step.

pdsaincs3d.inp

Incremental DSA with shell elements; includes frequency step.

pdsatotsax.inp

Total DSA with axisymmetric shell elements; includes frequency step.

pdsaincsax.inp

Incremental DSA with axisymmetric shell elements.

pdsatotsaxa.inp

Total DSA with axisymmetric shell elements with asymmetric deformations.

pdsaincsaxa.inp

Incremental DSA with axisymmetric shell elements with asymmetric deformations.

pdsatotbeam.inp

Total DSA with beam elements.