Computational Design Optimization of Large-Scale Building Structures: Methods, Benchmarking & Applications

Lead Research Organisation: University of Edinburgh
Department Name: Sch of Mathematics

Abstract

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Description A Matlab-based implementation of structural layout optimization
(developed in 2017/2018) has been tested on real-life examples.
The solver displays good performance and the new techniques
such as member adding, warm-starting and specially designed
preconditioner for normal equations formulation of the KKT system
arising in interior point methods have been verified to work well
in practice.
A prototype implementation of a semidefinite programming solver
for handling layout optimization problems with extra stability
constraints has been developed. It has been equipped with member
adding and warm-starting techniques. The technique has been
thoroughly tested on engineering problems.

A new inexact dual logarithmic barrier method for solving general
sparse semidefinite programs has been developed and implemented
in Matlab.

A new method for free material optimization with local stresses
for laminated structures has been developed.

A new method for convex quadratic optimization of fractional
differential equations has been developed.

A new variant of interior point-proximal method of multipliers
for general convex quadratic programming problems has been developed
and implemented in Matlab.
Exploitation Route The basic formulation has been described in a paper and has been
published in Computational Optimization and Applications.
The formulation with stability constraints has been published
in Structural and Multidisciplinary Optimization.
The extension of this methodology to allow for a change
of geometry and topology has been written down in a paper
published in Structural and Multidisciplinary Optimization.
The new method for free material optimization with local stresses
for laminated structures has been developed and published
in Engineering Optimization.
The paper on a new variant of interior point-proximal method
of multipliers for quadratic programming has been published
in Computational Optimization and Applications.
A new method for convex quadratic optimization of fractional
differential equations has been described in a paper published
in SIAM Journal on Matrix Analysis and Applications.
Several conference presentations have been made in order
to spread information across to engineering community.
It is expected to increase the interest of construction industry.
Sectors Construction
URL http://www.maths.ed.ac.uk/~gondzio/reports/ipmOptLoad.html
 
Description The impact of this work is recorded against grant ref EP/N023471/1
Sector Construction