Interpreting Adjoint Equations in Structural Optimization
- 1 August 1986
- journal article
- Published by American Society of Civil Engineers (ASCE) in Journal of Structural Engineering
- Vol. 112 (8), 1971-1976
- https://doi.org/10.1061/(asce)0733-9445(1986)112:8(1971)
Abstract
The adjoint method has been used in structural optimization to compute sensitivity coefficients of cost and constraint functions with respect to design parameters. The adjoint method involves the calculation of an adjoint vector from certain adjoint equations. So far, the adjoint equations have been considered only as a numerical tool for computing sensitivity coefficients. In this paper, the adjoint equations are given a physical interpretation, and it is shown that the components of the adjoint vector are the influence coefficients associated with the given function. Importantly, the interpretation of adjoint equations in this paper provides a new method for obtaining influence coefficients.Keywords
This publication has 4 references indexed in Scilit:
- The principle of virtual work in relation to Müller-Breslau's principleInternational Journal of Mechanical Sciences, 1980
- Comment on "Methods of Design Sensitivity Analysis in Structural Optimization"AIAA Journal, 1980
- Methods of Design Sensitivity Analysis in Structural OptimizationAIAA Journal, 1979
- Truss influence lines on a time sharing systemComputers & Structures, 1974