Design optimization: Difference between revisions

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'''Design optimisationoptimization''' is an engineering design '''methodology''' using a mathematical formulation of a design problem to support selection of the optimal design among many alternatives. Design optimization involves the following stages:

<ref name="edo2021">{{Cite book|url=http://flowlab.groups.et.byu.net/mdobook.pdf|title=Engineering Design Optimization|last1=Martins|first1=Joaquim R. R. A.|last2=Ning|first2=Andrew|date=2021-10-01|publisher=Cambridge University Press|isbn=978-1108833417|language=en}}</ref>

<ref name="pyp2017">{{Cite book|url=http://principlesofoptimaldesign.org/|title=Principles of Optimal Design: Modeling and Computation|last1=Papalambros|first1=Panos Y.|last2=Wilde|first2=Douglass J.|date=2017-01-31|publisher=Cambridge University Press|isbn=9781316867457|language=en}}</ref>

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# Feasibility: Values for set of variables that satisfies all constraints and minimizes/maximizes Objective.

== Design optimisationoptimization problem ==

{{Main|OptimisationOptimization problem}}

The formal mathematical ([[Canonical form|standard form]]) statement of the design optimisationoptimization problem is <ref>{{Cite book|url=https://web.stanford.edu/~boyd/cvxbook/bv_cvxbook.pdf|title=Convex Optimization|last1=Boyd|first1=Stephen|last2=Boyd|first2=Stephen P.|last3=California)|first3=Stephen (Stanford University Boyd|last4=Vandenberghe|first4=Lieven|last5=Angeles)|first5=Lieven (University of California Vandenberghe, Los|date=2004-03-08|publisher=Cambridge University Press|isbn=9780521833783|language=en}}</ref>

<math>\begin{align}

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== Application ==

Design optimisationoptimization applies the methods of [[mathematical optimisationoptimization]] to design problem formulations and it is sometimes used interchangeably with the term [[engineering optimisationoptimization]]. When the objective function ''f'' is a [[Vector-valued function|vector]] rather than a [[Scalar field|scalar]], the problem becomes a [[multi-objective optimisationoptimization]] one. If the design optimisationoptimization problem has more than one mathematical solutions the methods of [[global optimisationoptimization]] are used to identified the global optimum.

'''Optimization Checklist''' <ref name="pyp2017" />

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A detailed and rigorous description of the stages and practical applications with examples can be found in the book [http://www.cambridge.org/gh/academic/subjects/engineering/control-systems-and-optimization/principles-optimal-design-modeling-and-computation-3rd-edition?format=HB&isbn=9781107132672#C3r6r6aLRe2bUoef.97 Principles of Optimal Design].

Practical design optimisationoptimization problems are typically solved numerically and many [[:Category:Mathematical optimization software|optimization software]] exist in academic and commercial forms.<ref>{{Cite book|url=https://books.google.com/books?id=wy5hBwAAQBAJ&q=design+optimization+with+matlab+achille+messac&pg=PR17|title=Optimization in Practice with MATLAB®: For Engineering Students and Professionals|last=Messac|first=Achille|author-link1=Achille Messac|date=2015-03-19|publisher=Cambridge University Press|isbn=9781316381373|language=en}}</ref> There are several ___domain-specific applications of design optimisationoptimization posing their own specific challenges in formulating and solving the resulting problems; these include, [[shape optimisationoptimization]], [[wing-shape optimisationoptimization]], [[topology optimisationoptimization]], [[architectural design optimisationoptimization]], [[Power optimisationoptimization (EDA)|power optimisationoptimization]]. Several books, articles and journal publications are listed below for reference.

One modern application of design optimization is structural design optimization (SDO) is in building and construction sector. SDO emphasizes automating and optimizing structural designs and dimensions to satisfy a variety of performance objectives. These advancements aim to optimize the configuration and dimensions of structures to optimize augmenting strength, minimize material usage, reduce costs, enhance energy efficiency, improve sustainability, and optimize several other performance criteria. Concurrently, structural design automation endeavors to streamline the design process, mitigate human errors, and enhance productivity through computer-based tools and optimization algorithms. Prominent practices and technologies in this ___domain include the parametric design, generative design, building information modelling (BIM) technology, machine learning (ML), and artificial intelligence (AI), as well as integrating finite element analysis (FEA) with simulation tools.<ref>Towards BIM-Based Sustainable Structural Design Optimization: A Systematic Review and Industry Perspective. Sustainability 2023, 15, 15117. https://doi.org/10.3390/su152015117</ref>

== Journals ==

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=== Structural Topology Optimization ===

{{refbegin}}

*{{cite journal |title=Generating optimal topologies in structural design using a homogenization method |journal=Computer Methods in Applied Mechanics and Engineering |volume=71 |issue=2 |pages=197–224 |date=1988-11-01 |doi=10.1016/0045-7825(88)90086-2 |issn=0045-7825 |url= | last1 = Bendsøe | first1 = Martin Philip | last2 = Kikuchi | first2 = Noboru|hdl=2027.42/27079 |hdl-access=free }}

*{{cite book |first=Martin P. |last=Bendsøe |title=Optimization of structural topology, shape, and material |publisher=Springer |date=1995 |isbn=3540590579 }}

*{{cite book |first=Hassani |last=Behrooz |title=Homogenization and Structural Topology Optimization : Theory, Practice and Software |publisher=Springer |date=1999 |isbn=9781447108917 |oclc=853262659 }}

*{{cite book |lastlast1=Bendsøe |firstfirst1=Martin P. |last2=Sigmund |first2=O. |title=Topology optimization : theory, methods, and applications |publisher=Springer |edition=2nd |date=2013 |isbn=9783662050866 |oclc=50448149 |url=https://wwwbooks.google.com/books/edition/Topology_Optimization/ZCjsCAAAQBAJ?hlid=enZCjsCAAAQBAJ&pg=PR1}}

*{{cite book |editor-last=Rozvany |editor-first=G.I.N. |editor-last2=Lewiński |editor-first2=T. |title=Topology optimization in structural and continuum mechanics |publisher=Springer |date=2014 |isbn=9783709116432 |oclc=859524179 |url=https://wwwbooks.google.com/books/edition/Topology_Optimization_in_Structural_and/B8HHBAAAQBAJ?hlid=en&gbpv=1B8HHBAAAQBAJ&pg=PP1}}

{{refend}}