Relevant bibliographies by topics / Constrained Topology Optimization / Dissertations / Theses
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Dissertations / Theses on the topic 'Constrained Topology Optimization'

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Published: 3 June 2025
Last updated: 31 July 2025

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1

Svärd, Henrik. "Topology Optimization of Fatigue-Constrained Structures." Doctoral thesis, KTH, Optimeringslära och systemteori, 2015. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-163575.

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Fatigue, or failure of material due to repeated cyclic loading, is one of the most common causes of mechanical failures. The risk of fatigue in a load carrying component is often lowered by adding material, thereby reducing stresses. This increases the component weight, reducing the performance of the component and increasing its manufacturing cost. There is thus a need to design components to be as light as possible, while keeping the risk of fatigue at a low enough level, i.e. there is a need for optimization of the component subject to fatigue constraints.  This thesis deals with design aga
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2

Holmberg, Erik. "Stress and fatigue constrained topology optimization." Licentiate thesis, Linköpings universitet, Mekanik, 2013. http://urn.kb.se/resolve?urn=urn:nbn:se:liu:diva-88094.

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This thesis concerns structural optimization in conceptual design stages, for which constraints that are adapted to industrial requirements have been developed for topology optimization problems. The objective of the project has been to identify and solve problems that today prevent structural optimization from being used in a broader sense in the avionic industry; the main focus has been on stress and fatigue constraints in topology optimization. The thesis consists of two parts. The rst part gives an introduction to topology optimization and describes the developed methods for stress and fat
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Al-Ajmi, Mohammed. "Homogenization and topology optimization of constrained layer damping treatments." College Park, Md. : University of Maryland, 2004. http://hdl.handle.net/1903/1537.

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Thesis (Ph.D.) -- University of Maryland, College Park, 2004<br>Thesis research directed by: Mechanical Engineering. Title from t.p. of PDF. Includes bibliographical references. Published by UMI Dissertation Services, Ann Arbor, Mich. Also available in paper.
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Yu, Tae-Joong. "Topology optimization under stress constraints." [Gainesville, Fla.] : University of Florida, 2003. http://purl.fcla.edu/fcla/etd/UFE0000831.

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5

Pagonakis, Dimitrios. "Volumetric topology optimization under redundancy constraints." Thesis, Massachusetts Institute of Technology, 2016. http://hdl.handle.net/1721.1/104242.

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Thesis: M. Eng., Massachusetts Institute of Technology, Department of Civil and Environmental Engineering, 2016.<br>Cataloged from PDF version of thesis.<br>Includes bibliographical references (pages 117-120).<br>With ever-increasing pollution and scarcity of resources, structural optimization, the science of finding the optimal structural arrangements under equilibrium constraints, is becoming an increasing necessity in engineering practice. However, designers are hesitant to adopt a method that is by nature a limit state and thus potentially unreliable. This thesis embeds a level of safety,
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6

Michailidis, Georgios. "Manufacturing Constraints and Multi-Phase Shape and Topology Optimization via a Level-Set Method." Phd thesis, Ecole Polytechnique X, 2014. http://pastel.archives-ouvertes.fr/pastel-00937306.

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The main contribution of this thesis is the implementation of manufacturing constraints in shape and topology optimization. Fabrication limitations related to the casting process are formulated as mathematical constraints and introduced in the optimization algorithm. In addition, based on the same theoretical and modelization tools, we propose a novel formulation for multi-phase optimization problems, which can be extended to the optimization of structures with functionally-graded properties. A key ingredient for the mathematical formulation of most problems throughout our work is the notion o
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SENHORA, FERNANDO VASCONCELOS DA. "TOPOLOGY OPTIMIZATION WITH STRESS CONSTRAINTS: AN AGGREGATION-FREE APPROACH." PONTIFÍCIA UNIVERSIDADE CATÓLICA DO RIO DE JANEIRO, 2017. http://www.maxwell.vrac.puc-rio.br/Busca_etds.php?strSecao=resultado&nrSeq=31642@1.

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PONTIFÍCIA UNIVERSIDADE CATÓLICA DO RIO DE JANEIRO<br>CONSELHO NACIONAL DE DESENVOLVIMENTO CIENTÍFICO E TECNOLÓGICO<br>FUNDAÇÃO DE APOIO À PESQUISA DO ESTADO DO RIO DE JANEIRO<br>BOLSA NOTA 10<br>As metodologias de projeto estrutural foram fortemente influenciadas pelo advento da computação. Os avanços nas áreas de análise numérica, como o método dos elementos finitos, e os softwares de Desenho Assistido por Computador, literalmente ajudaram a moldar o mundo como ele é hoje. Implementações computacionais das técnicas de otimização estrutural, como a otimização topológica, permitem a determinaç
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8

Alm, Grundström Henrik. "Topology Optimization for Additive Manufacturing Considering Stress and Anisotropy." Thesis, Linköpings universitet, Mekanik och hållfasthetslära, 2017. http://urn.kb.se/resolve?urn=urn:nbn:se:liu:diva-141609.

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Additive manufacturing (AM) is a particularly useful manufacturing method for components designed using topology optimization (TO) since it allows for a greater part complexity than any traditional manufacturing method. However, the AM process potentially leads to anisotropic material properties due to the layer-by-layer buildup of parts and the fast and directional cooling. For Ti6Al4V tensile specimens built using electron beam melting (EBM), it has been observed that flat built specimens show superior strength and elastic moduli compared to top built specimens. Designs with the loading dire
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9

Emmendoerfer, Junior Hélio. "A level set approach for topology optimization with local stress constraints." reponame:Repositório Institucional da UFSC, 2015. https://repositorio.ufsc.br/xmlui/handle/123456789/162563.

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Tese (doutorado) - Universidade Federal de Santa Catarina, Centro Tecnológico, Programa de Pós-Graduação em Engenharia Mecânica, Florianópolis, 2015.<br>Made available in DSpace on 2016-05-24T17:21:36Z (GMT). No. of bitstreams: 1 338913.pdf: 15783641 bytes, checksum: e4e5e30a9fc572b02430ff4164172aea (MD5) Previous issue date: 2015<br>Este trabalho tem como foco o problema de otimização topológica para minimização de massa com restrições locais sobre o campo de tensões de von Mises. Usando conceitos de curvas de nível (ou level sets) para o controle do domínio, desenvolve-se u
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10

Werme, Mats. "On Methods for Discrete Topology Optimization of Continuum Structures." Doctoral thesis, Stockholm : Matematik, Kungliga Tekniska högskolan, 2008. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-4644.

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11

Munro, Dirk Pieter. "Topology optimisation and simultaneous analysis and design : material penalisation and local stress constraints." Thesis, Stellenbosch : Stellenbosch University, 2014. http://hdl.handle.net/10019.1/86679.

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Thesis (MEng)--Stellenbosch University, 2014.<br>ENGLISH ABSTRACT: We investigate the simultaneous analysis and design (SAND) formulation of the topology optimisation problem. The characteristics of the formulation are presented considering the simple compliance/weight constrained problem and the more complex local stress constrained case. The problems are solved in an efficient sparse sequential approximate optimisation (SAO) framework with the SAND formulation showing an significant reduction in computational requirements compared to the traditional and inherently expensive nested analy
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12

Stolpe, Mathias. "On Models and Methods for Global Optimization of Structural Topology." Doctoral thesis, KTH, Mathematics, 2003. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-3478.

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<p>This thesis consists of an introduction and sevenindependent, but closely related, papers which all deal withproblems in structural optimization. In particular, we considermodels and methods for global optimization of problems intopology design of discrete and continuum structures.</p><p>In the first four papers of the thesis the nonconvex problemof minimizing the weight of a truss structure subject to stressconstraints is considered. First itis shown that a certainsubclass of these problems can equivalently be cast as linearprograms and thus efficiently solved to global optimality.Thereaft
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13

Feppon, Florian. "Shape and topology optimization of multiphysics systems." Thesis, Université Paris-Saclay (ComUE), 2019. http://www.theses.fr/2019SACLX080/document.

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Cette thèse est consacrée à l'optimisation de la topologie et de la forme de systèmesmultiphysiques motivés par des applications de l'industrie aéronautique. Nouscalculons les dérivées de forme de fonctions de coût arbitraires pour un modèlefluide, thermique et mécanique faiblement couplé. Nous développons ensuite unalgorithme de type gradient adapté à la résolution de problèmes d'optimisation deformes sous contraintes qui ne requiert par de réglage de paramètres nonphysiques. Nous introduisons ensuite une méthode variationnelle qui permet decalculer des intégrales le long de rayons sur un mai
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14

Changizi, Navid. "FRAME TOPOLOGY OPTIMIZATION WITH STANDARD CROSS SECTIONS: ACCOUNTING FOR BUCKLING, STRESS CONSTRAINTS AND GEOMETRIC VARIABILITY." Cleveland State University / OhioLINK, 2016. http://rave.ohiolink.edu/etdc/view?acc_num=csu1470847100.

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15

Kubo, Seiji. "Topology optimization for the duct flow problems in laminar and turbulent flow regimes." Kyoto University, 2019. http://hdl.handle.net/2433/242491.

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Isaacs, Amitay Engineering &amp Information Technology Australian Defence Force Academy UNSW. "Development of optimization methods to solve computationally expensive problems." Awarded by:University of New South Wales - Australian Defence Force Academy. Engineering & Information Technology, 2009. http://handle.unsw.edu.au/1959.4/43758.

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Evolutionary algorithms (EAs) are population based heuristic optimization methods used to solve single and multi-objective optimization problems. They can simultaneously search multiple regions to find global optimum solutions. As EAs do not require gradient information for the search, they can be applied to optimization problems involving functions of real, integer, or discrete variables. One of the drawbacks of EAs is that they require evaluations of numerous candidate solutions for convergence. Most real life engineering design optimization problems involve highly nonlinear objective a
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17

Wang, Lyang Suan. "Automating Parametric Redesign of Structural Thin-Walled Frames Based On Topology Optimized Structure." The Ohio State University, 2019. http://rave.ohiolink.edu/etdc/view?acc_num=osu156618342438725.

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18

Lippi, Tiago Naviskas. "Restrições de manufatura aplicadas ao método de otimização topológica." Universidade de São Paulo, 2008. http://www.teses.usp.br/teses/disponiveis/3/3152/tde-02062008-173757/.

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O projeto de um componente mecânico é uma atividade muito complexa, onde muitas vezes se tem restrições de projeto como peso do componente e rigidez máxima, e também restrições de manufatura, associada aos processos de fabricação disponíveis para serem utilizados. É fato conhecido que a Otimização Topológica (OT), apesar de ser um método extremamente eficiente para a obtenção de soluções ótimas, gera soluções com geometrias complexas que são ou muito caras de se fabricar ou infactíveis. A técnica de projeção foi escolhida como adequada para implementar as restrições propostas neste trabalho. E
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19

Varella, Guilherme. "Aplicação de um modelo substituto para otimização estrutural topológica com restrição de tensão e estimativa de erro a posteriori." reponame:Biblioteca Digital de Teses e Dissertações da UFRGS, 2015. http://hdl.handle.net/10183/127869.

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Este trabalho apresenta uma metodologia de otimização topológica visando reduzir o volume de uma estrutura tridimensional sujeita a restrição de tensão. A análise estrutural é feita através do método dos elementos finitos, as tensões são calculadas nos pontos de integração Gaussiana e suavizadas. Para evitar problemas associados a singularidades na tensão é aplicado o método de relaxação de tensão, que penaliza o tensor constitutivo. A norma-p é utilizada para simular a função máximo, que é utilizada como restrição global de tensão. O estimador de erro de Zienkiewicz e Zhu é usado para calcula
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20

Dash, Satabdee. "Design for Additive Manufacturing : An Optimization driven design approach." Thesis, KTH, Maskinkonstruktion (Inst.), 2020. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-281246.

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Increasing application of Additive Manufacturing (AM) in industrial production demands product reimagination (assemblies, subsystems) from an AM standpoint. Simulation driven design tools play an important part in achieving this with design optimization subject to the capabilities of AM technologies. Therefore, the bus frames department (RBRF) in Scania CV AB, Södertälje wanted to examine the synergies between topology optimization and Design for AM (DfAM) in the context of this thesis. In this thesis, a methodology is developed to establish a DfAM framework involving topology optimization and
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21

Emmendoerfer, Junior Hélio. "A level set approach for topology optimization with local stress constraints: Uma abordagem de curvas de nível para otimização topológica com restrições de tensão local." reponame:Repositório Institucional da UFSC, 2015. https://repositorio.ufsc.br/xmlui/handle/123456789/169289.

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Tese (doutorado) - Universidade Federal de Santa Catarina, Centro Tecnológico, Programa de Pós-Graduação em Engenharia Mecânica, Florianópolis, 2015.<br>Made available in DSpace on 2016-10-19T12:38:22Z (GMT). No. of bitstreams: 1 338913.pdf: 15783641 bytes, checksum: e4e5e30a9fc572b02430ff4164172aea (MD5) Previous issue date: 2015<br>Este trabalho tem como foco o problema de otimização topológica para minimização de massa com restrições locais sobre o campo de tensões de von Mises. Usando conceitos de curvas de nível (ou level sets) para o controle do domínio, desenvolve-se um procedimento d
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22

De, Leon Daniel Milbrath. "Otimização topológica de mecanismos flexíveis com controle da tensão máxima considerando não linearidades geométrica e material." reponame:Biblioteca Digital de Teses e Dissertações da UFRGS, 2015. http://hdl.handle.net/10183/118880.

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Mecanismos flexíveis, nos quais a deformação elástica é aproveitada na atuação cinemática, têm grande empregabilidade em dispositivos de mecânica de precisão, engenharia biomédica, e mais recentemente em microeletromecanismos (MEMS). Entre as diversas técnicas empregadas para o seu projeto, a otimização topológica tem se mostrado a mais genérica e sistemática. A grande dificuldade destes projetos é conciliar os requisitos cinemáticos com a resistência mecânica da estrutura. Neste trabalho, é implementado um critério de resistência dentro da formulação do problema de otimização, com o intuito d
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23

Silva, Everton da. "Uma formulação de otimização topológica com restrição de tensão suavizada." reponame:Biblioteca Digital de Teses e Dissertações da UFRGS, 2012. http://hdl.handle.net/10183/61396.

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No presente trabalho, foi implementada uma formulação de otimização topológica com o objetivo de encontrar o mínimo volume de estruturas contínuas bidimensionais, em estado plano de tensão, sujeitas à restrição de tensão de von Mises. Foi utilizado o Método dos Elementos Finitos para discretizar o domínio, com o elemento não conforme de Taylor. A tensão foi suavizada, calculando-se um valor de tensão para cada nó do elemento. O fenômeno da singularidade foi contornado através do método de relaxação da tensão, penalizando-se o tensor constitutivo. Foi usada uma única medida de tensão global, a
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Stump, Fernando Viegas. "Otimização topológica aplicada ao projeto de estruturas tradicionais e estruturas com gradação funcional sujeitas a restrição de tensão." Universidade de São Paulo, 2006. http://www.teses.usp.br/teses/disponiveis/3/3152/tde-22042007-230503/.

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Este trabalho apresenta a aplicação do Método de Otimização Topológica (MOT) considerando restrição de tensão mecânica em dois problemas de Engenharia: o projeto de estruturas mecânicas sujeitas a restrição de tensão e o projeto da distribuição de material em estruturas constituídas por Materiais com Gradação Funcional (MsGF). O MOT é um método numérico capaz de fornecer de forma automática o leiaute básico de uma estrutura mecânica para que esta atenda a um dado requisito de projeto, como o limite sobre a máxima tensão mecânica no componente. Os MsGF são materiais cujas propriedades variam gr
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Meneghelli, Luís Renato. "Projeto de mecanismos flexíveis com restrição de tensões utilizando o método da otimização topológica." Universidade do Estado de Santa Catarina, 2013. http://tede.udesc.br/handle/handle/2055.

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Made available in DSpace on 2016-12-12T20:25:11Z (GMT). No. of bitstreams: 1 Luis Reanto Meneghelli.pdf: 5980064 bytes, checksum: 65a0002e42f206e56e3875504a6f0660 (MD5) Previous issue date: 2013-03-07<br>Coordenação de Aperfeiçoamento de Pessoal de Nível Superior<br>Compliant mechanisms are mechanical devices that transform or transfer motion, force or energy through a single part. These mechanisms have important applications in micro electromechanical systems (MEMS) as well as systems that require large accuracy in motion and micro scale. In this work the compliant mechanisms design is perf
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Silva, Felipe Langellotti. "Projeto de painéis compósitos reforçados utilizando os métodos de otimização paramétrica e topológica." Universidade de São Paulo, 2015. http://www.teses.usp.br/teses/disponiveis/3/3152/tde-24012016-144730/.

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O crescimento do emprego de materiais compósitos e a flexibilização dos processos de manufatura permitem a adoção deste tipo de material em diversos casos que antes não eram explorados. Este trabalho investiga técnicas de otimização aplicáveis a painéis compósitos laminados e com reforçadores co-curados. Painéis reforçados são amplamente utilizados na indústria aeronáutica por conferirem resistência a carregamentos no plano e de flexão à elementos de baixo peso estrutural que são empregados em estruturas aeronáuticas típicas, como fuselagens. Por meio da otimização paramétrica que adota como v
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Mitjana, Florian. "Optimisation topologique de structures sous contraintes de flambage." Thesis, Toulouse 3, 2018. http://www.theses.fr/2018TOU30343/document.

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L'optimisation topologique vise à concevoir une structure en recherchant la disposition optimale du matériau dans un espace de conception donné, permettant ainsi de proposer des designs optimaux innovants. Cette thèse est centrée sur l'optimisation topologique pour des problèmes de conception de structures prenant en compte des contraintes de flambage. Dans une large variété de domaines de l'ingénierie, la conception innovante de structures est cruciale. L'allègement des structures lors la phase de conception tient une place prépondérante afin de réduire les coûts de fabrication. Ainsi l'objec
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Silva, Gustavo Assis da. "Otimização topológica de estruturas contínuas considerando incertezas." Universidade do Estado de Santa Catarina, 2016. http://tede.udesc.br/handle/handle/2071.

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Made available in DSpace on 2016-12-12T20:25:13Z (GMT). No. of bitstreams: 1 Gustavo Assis da Silva.pdf: 2694304 bytes, checksum: 361de063d220eeeebb77985807d4fc22 (MD5) Previous issue date: 2016-02-22<br>Coordenação de Aperfeiçoamento de Pessoal de Nível Superior<br>This work addresses the use of the topology optimization of continuum structures under uncertainties in material properties associated to stiffness. The perturbation approach is used to perform the uncertainties quantification and the midpoint method is used for the random field discretization, where a decorrelation technique is
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Kiyono, César Yukishigue. "Projeto de transdutores piezocompósitos de casca multi-camada utilizando o método de otimização topológica." Universidade de São Paulo, 2013. http://www.teses.usp.br/teses/disponiveis/3/3152/tde-30072013-210104/.

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Transdutores baseados em cascas piezocompósitas têm uma vasta aplicação no campo de estruturas inteligentes, principalmente como atuadores, sensores e coletores de energia. Essas estruturas piezocompósitas são geralmente compostas por dois ou mais tipos de materiais, como por exemplo materiais piezelétricos, ortotrópicos elásticos (possuem fibras de reforçamento) e isotrópicos (materiais homogêneos). Vários fatores devem ser considerados no projeto de transdutores baseados em cascas piezocompósitas, como o tamanho, a forma, a localização e a polarização do material piezelétrico, bem como a ori
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Dumas, Jérémie. "Synthèse de formes contrôlable pour la fabrication digitale." Thesis, Université de Lorraine, 2017. http://www.theses.fr/2017LORR0008/document.

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L’objet principal de cette thèse est de proposer des méthodes pour la synthèse de formes qui soient contrôlables et permettent d’imprimer les résultats obtenus. Les imprimantes 3D étant désormais plus faciles d’accès que jamais, les logiciels de modélisation doivent maintenant prendre en compte les contraintes de fabrication imposées par les technologies de fabrication additives. En conséquence, des algorithmes efficaces doivent être développés afin de modéliser les formes complexes qui peuvent être créées par impression 3D. Nous développons des algorithmes pour la synthèse de formes par l’exe
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Dumas, Jérémie. "Synthèse de formes contrôlable pour la fabrication digitale." Electronic Thesis or Diss., Université de Lorraine, 2017. http://www.theses.fr/2017LORR0008.

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L’objet principal de cette thèse est de proposer des méthodes pour la synthèse de formes qui soient contrôlables et permettent d’imprimer les résultats obtenus. Les imprimantes 3D étant désormais plus faciles d’accès que jamais, les logiciels de modélisation doivent maintenant prendre en compte les contraintes de fabrication imposées par les technologies de fabrication additives. En conséquence, des algorithmes efficaces doivent être développés afin de modéliser les formes complexes qui peuvent être créées par impression 3D. Nous développons des algorithmes pour la synthèse de formes par l’exe
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(6632099), Vincenzo G. Vernacchio. "Size Dependent Failure Constrained Topology Optimization Approaches." Thesis, 2019.

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<div>New approaches in topology optimization and manufacturing techniques are generating multi-scale, physically realized mechanical components from advanced materials. Current optimization formulations do not consider the dependence of strength on feature size. By failing to account for the mechanical models of this behavior, sub-optimal structures are generated.</div><div><br></div><div>A currently available academic density-based topology optimization code is extended to incorporate strength constraints. A continuum theory of failure novel to the optimization field is implemented to account
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Lee, Edmund. "Stress-constrained Structural Topology Optimization with Design-dependent Loads." Thesis, 2012. http://hdl.handle.net/1807/32254.

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Topology optimization is commonly used to distribute a given amount of material to obtain the stiffest structure, with predefined fixed loads. The present work investigates the result of applying stress constraints to topology optimization, for problems with design-depending loading, such as self-weight and pressure. In order to apply pressure loading, a material boundary identification scheme is proposed, iteratively connecting points of equal density. In previous research, design-dependent loading problems have been limited to compliance minimization. The present study employs a more practic
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34

Pai, Rohan Vinay. "Parameter study on topology optimization of constrained layer damping treatments." 2003. http://etd.utk.edu/2003/PaiRohan.pdf.

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Thesis (M.S.)--University of Tennessee, Knoxville, 2003.<br>Title from title page screen (viewed Mar. 29, 2004). Thesis advisor: Arnold Lumsdaine. Document formatted into pages (x, 87 p. : ill. (some col.)). Vita. Includes bibliographical references (p. 79-86).
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Ansari, Masoud. "Optimal Vibration Control in Structures using Level set Technique." Thesis, 2013. http://hdl.handle.net/10012/7948.

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Vibration control is inevitable in many fields, including mechanical and civil engineering. This matter becomes more crucial for lightweight systems, like those made of magnesium. One of the most commonly practiced methods in vibration control is to apply constrained layer damping (CLD) patches to the surface of a structure. In order to consider the weight efficiency of the structure, the best shape and locations of the patches should be determined to achieve the optimum vibration suppression with the lowest amount of damping patch. In most research work done so far, the shape of patches are a
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Tavakoli, Ruhollah. "Optimal Design of Feeding System in Steel Castings." Phd thesis, 2009. http://tel.archives-ouvertes.fr/tel-00484191.

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In the present study, the optimal design of feeding system in steel sand-mold castings is considered. The first part of this research includes fundamental studies on the physics of shrinkage defect formation during the casting process. The results of these studies lead to new findings on the mechanism of shrinkage defect formation, effect of melt quality on the distribution of defects within the castings and the connection between shrinkage and gases defects. The theoretical analysis of thermal criterion functions for the prediction of shrinkage defects in castings and introducing new criterio
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CHEN, KUN-YANG, and 陳堃鍚. "Structural topology optimization with constraints using penalty functions." Thesis, 2009. http://ndltd.ncl.edu.tw/handle/94179033351501700480.

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碩士<br>中原大學<br>土木工程研究所<br>97<br>Owing to the rapid development of powerful and cost-efficient computers with graphic capabilities, multi-windows and fast computation, topology optimization has received intensive attention in industry and academia in recent years. In the literature, a lot of researches focus on the topology optimization with minimum total strain energy; however, most structures in practical designs have to meet some requirements, such as stress, displacements, and frequencies in the specifications. In this paper, the structural topology optimizations with different constraints a
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38

Hsu, Fang-ming, and 許芳明. "An Adaptive Volume Constraint Technique of Topology Optimization." Thesis, 2008. http://ndltd.ncl.edu.tw/handle/78786549280365094791.

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博士<br>國立臺灣科技大學<br>機械工程系<br>96<br>This paper provides a simple but robust algorithm, the adaptive volume constraint (AVC) algorithm, to replace the fixed volume constraint (FVC) in the traditional topology optimization method so that it can obtain the minimum-compliance optimal structure that simultaneously meets the additional stress and/or displacement limits. The traditional homogenization methods or material distributed methods aim at distributing a fixed amount of material to most effective elements in the design domain to create the maximum stiffness or the minimum compliance structure (F
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39

Hsu, Shao-Jui, and 許劭睿. "Minimum weight topology optimization subject to displacement or frequency constraints." Thesis, 2010. http://ndltd.ncl.edu.tw/handle/50590576612602386088.

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碩士<br>國立中興大學<br>機械工程學系所<br>98<br>Since 1988 BendsØe and Kikuchi [1] published the homogenization method to solve structural topology optimization problems, more and more researchers have used this method to generate initial shapes of structures. In this thesis, the objective function is defined as minimum weight subject to two types of constraints: one is the displacement and the other one is the natural frequency. The normalized density of each finite element is adopted as the design variable. Some formulas representing the relationship between Young’s modulus and the normalized density are u
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James, Kai. "Optimal structural topology design for multiple load cases with stress constraints." 2006. http://link.library.utoronto.ca/eir/EIRdetail.cfm?Resources__ID=450283&T=F.

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You, Yan Siang, and 顏祥祐. "Finding two-dimensional optimum topology with various constraints using sizing optimization technique." Thesis, 2015. http://ndltd.ncl.edu.tw/handle/56226627501859679111.

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碩士<br>國立中興大學<br>機械工程學系所<br>103<br>Abstract Solving minimum-compliance topology optimization problems must calculate the sensitivity of compliance with respect to the design variable by using element strain energy. The constraint is the amount of material used in the design space. If other constraints are needed, their sensitivities must be computed. This is not an easy job. To avoid this difficulty, this thesis tries to use sizing optimization module in MSC / NASTRAN to solve 2-D topology optimization problems with all kinds of constraints. In doing so, no complicated sensitivity computati
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Wang, Shengyin, and Kang Tai. "A Constraint Handling Strategy for Bit-Array Representation GA in Structural Topology Optimization." 2003. http://hdl.handle.net/1721.1/3882.

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In this study, an improved bit-array representation method for structural topology optimization using the Genetic Algorithm (GA) is proposed. The issue of representation degeneracy is fully addressed and the importance of structural connectivity in a design is further emphasized. To evaluate the constrained objective function, Deb's constraint handling approach is further developed to ensure that feasible individuals are always better than infeasible ones in the population to improve the efficiency of the GA. A hierarchical violation penalty method is proposed to drive the GA search towards th
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