Thesis-1972-DeSilva.pdf (6.29 MB)
An introduction to structural optimization problems
thesis
posted on 2018-08-03, 09:16 authored by Brian M.E. De SilvaThe object of the research described in this thesis is to examine
the possibilities of developing analytical and computational procedures
for a class of structural optimization problems in the presence of
behaviour and side constraints. These are essentially optimal control
problems based on the maximum principle of Pontryagin and dynamic
programming formalism of Bellman. They are characterised by inequality
constraints on the state and control variables giving rise to systems
of highly complex differential equations which present formidable
difficulties both in the construction of the appropriate boundary
conditions and subsequent development of solution procedures for these
boundary value problems. Therefore an alternative approach is used
whereby the problem is discretised leading to a non-linear programming
approximation. The associated non-linear programs are characterised
by non-analytic "black box" type representations for the behaviour
constraints. The solutions are based on a "steepest descent–alternate step" mode of travel in design space. [Continues.]
History
School
- Science
Department
- Mathematical Sciences
Publisher
© Brian Maxwell Elmo de SilvaPublisher statement
This work is made available according to the conditions of the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0) licence. Full details of this licence are available at: https://creativecommons.org/licenses/by-nc-nd/4.0/Publication date
1972Notes
A Doctoral Thesis. Submitted in partial fulfilment of the requirements for the award of Doctor of Philosophy at Loughborough University.Language
- en