Interpreting Adjoint Equations in Structural Optimization
Publication: Journal of Structural Engineering
Volume 112, Issue 8
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.
Get full access to this article
View all available purchase options and get full access to this article.
References
1.
Arora, J. S., and Haug, E. J., “Methods of Design Sensitivity Analysis in Structural Optimization,” AIAA Journal, Vol. 17, No. 19, 1979, pp. 970–974.
2.
Carlton, T. M., “Principle of Virtual Work in Relation to Muller‐Breslau's Principle,” International Journal of Mechanical Science, Vol. 22, No. 8, 1980, pp. 523–525.
3.
Fleming, J. F., and Shah, A. P., “Truss Influence Lines on a Time Sharing System,” Computers and Structures, Vol. 4, No. 5, Oct., 1974, pp. 933–950.
4.
Haug, E. J., and Arora, J. S., Applied Optimal Design, John Wiley & Sons, N. Y., 1979.
5.
Norris, C. H., and Wilbur, J. B., Elementary Structural Analysis, McGraw‐Hill, N. Y., 1960.
6.
Vanderplaats, G. N., “Comment on Methods of Design Sensitivity Analysis in Structural Optimization,” AIAA Journal, Vol. 18, No. 11, 1980, pp. 1406–1408.
Information & Authors
Information
Published In
Copyright
Copyright © 1986 ASCE.
History
Published online: Aug 1, 1986
Published in print: Aug 1986
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.