Shape Sensitivity Analysis and Computer-Aided Design of Nonlinear Structures

A unified approach for explicit structural design sensitivity analysis of linear and non-linear elastic systems is presented. First-order sensitivity expressions involving the complete set of design variables, including shape design parameters, are derived for general response functionals. Both direct differentiation and adjoint variable methods are developed in a general, variational context. The resulting sensitivity expressions are valid for use with approximate solutions based on any of several weak, weighted residual forms of the elasticity equations. Several illustrative examples are included.

Name thesis:degree_name

Ph.D.

Level thesis:degree_level

Dissertation

Discipline thesis:degree_discipline

Civil Engineering

Grantor

University of Illinois at Urbana-Champaign

Date dc:date

10000-01-01

Author dc:creator

• Phelan, David Gerald

Contributors dc:contributor

• Haber, Robert

• Engineering, Civil
• Engineering, Mechanical

Identifier

(UMI)AAI8823226

OAI identifier oai:identifier

oai:www.ideals.illinois.edu:2142/69977