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Em áreas que demandam componentes de alto desempenho como a indústria automotiva, aeronáutica e aeroespacial, a otimização do desempenho dinâmico de estruturas é buscada através de diferentes abordagens, como o projeto de materiais específicos à aplicação, ou otimização estrutural topológica. Em particular, o método de otimização estrutural evolucionária bidirecional BESO (Bi-directional Evolutionary Structural Optimization) tem sido utilizado no projeto simultâneo de estruturas hierárquicas, o que significa que o domínio estrutural consiste não somente na estrutura como também na topologia microestrutural dos materiais empregados. O objetivo desse trabalho consiste em aplicar a metodologia BESO na resolução de problemas multiescala bidimensionais visando à maximização da frequência fundamental de estruturas, assim como a minimização de sua resposta quando sujeitas a excitações forçadas numa determinada faixa de frequências. O método da homogeneização é introduzido e aplicado na integração entre as diferentes escalas do problema. Em especial, o modelo de interpolação material é generalizado para o uso de dois materiais no caso de otimização da resposta no domínio da frequência. A metodologia BESO foi aplicada a casos de otimização tomando como domínio estrutural somente a macroescala (projeto estrutural), somente a microescala (projeto material), assim como ambas as escalas concomitantemente (projeto multiescala). Para os casos estudados, a redistribuição de material na macroescala levou a resultados melhores em relação à otimização que modifica a microestrutura. Para a maximização da frequência fundamental, a otimização multiescala obteve os melhores resultados, já para a minimização da resposta em frequência, a otimização somente na macroescala se mostrou mais eficiente. / In areas which demand high performance components, such as automotive, aeronautics and aerospace, the design of application deppendent materials and structural topology optimization are two approaches used in order to optimize structures‟ dynamic behaviour. In particular, the Bi-directional Evolutionary Structural Optimization (BESO) method has been applied to the simultaneous project of hierarchical structures, meaning that the project‟s domain consists not only on the structure on the macroscale, but also on the representative volume element (RVE) associated with the microstructure of the employed materials. The objective of this work is to apply the BESO method in order to solve multiscale bidimensional problems, more specifically, topology optimization problems for fundamental frequency maximization and minimization of the response in the frequency domain under harmonic excitation. The homogenization method is introduced and used to integrate the macro and microscales considered. Furthermore, the material interpolation model in generalized for two material domains in the response minimization problem. The BESO method was applied to optimizations problems where the structural domain was eiher the macrostructure (structural project), microstructure (material project), or both scales simultaneously (multiscale project). In general, material distribution at the macroscale lead to better results in comparison to optimization at the microscale. For fundamental frequency maximization, the multiscale approach obtained better results, while for minimization of the frequency response the results were optimal when the structural domain was restricted to the macrostructure.

This paper describes an intuitive way of defining geometry design variables for solving structural topology optimization problems using a genetic algorithm (GA). The geometry representation scheme works by defining a skeleton that represents the underlying topology/connectivity of the continuum structure. As the effectiveness of any GA is highly dependent on the chromosome encoding of the design variables, the encoding used here is a directed graph which reflects this underlying topology so that the genetic crossover and mutation operators of the GA can recombine and preserve any desirable geometric characteristics through succeeding generations of the evolutionary process. The overall optimization procedure is tested by solving a simulated topology optimization problem in which a 'target' geometry is pre-defined with the aim of having the design solutions converge towards this target shape. The procedure is also applied to design a straight-line compliant mechanism : a large displacement flexural structure that generates a vertical straight line path at some point when given a horizontal straight line input displacement at another point. / Singapore-MIT Alliance (SMA)

The focus of this research is on the development of a novel multi-disciplinary design optimization scheme for micro-compliant devices. Topology optimization is a powerful tool that can address the need for a systematic method to design MEMS. It is expected that systematic design methods will make the design of micro devices transparent to the user and thus spur their use. Although topology optimization of MEMS devices with embedded actuation has received a great deal of attention among researchers recently, there is not a significant amount of literature available on the subject. The limited literature available addresses multi-physics topology optimization, which employs the homogenization method. However, the products of this method inherit the drawbacks of homogenized material discretization, including checkerboard pattern, gray-scale material and narrow flexural hinges in the optimum solution. In this thesis, a new topology optimization scheme is introduced that addresses the specific needs of MEMS domain. A new discretization approach with frame-ground structure is introduced. This approach offers significant conceptual and practical advantages to the compliant MEMS optimization problem, including compatibility with MEMS fabrication processes. The design spaces of compliant mechanisms are non-convex and it is critical to employ an algorithm capable of converging to the global optimum without the need to evaluate gradients of objective function. In this thesis, an efficient real-coded genetic algorithm is implemented, which shows a better repeatability and converges to very similar solutions in different runs. This new method of optimization facilitates the use of a coarse subdivision of the design domain rather than the homogenized material method, for the same resolution of shape definition. Therefore, the topology optimization scheme developed in this thesis significantly reduces the computational burden without compromising the sharpness of the shape definition. As the problem of compliant mechanism design is posed as a set of conflicting objectives, a well-posed multi-criteria objective function is introduced which avoids one objective dominating the solution. Moreover, the formulation is modified to incorporate electro-thermal boundaries and enables the optimization of the compliant mechanisms to transfer maximum motion or maximum force at the output. A number of design examples are used to demonstrate the ability of the procedure to generate non-intuitive topologies. Their performance is verified using ANSYS and compared with results from the homogenization method and designs reported in the available literature.

The focus of this research is on the development of a novel multi-disciplinary design optimization scheme for micro-compliant devices. Topology optimization is a powerful tool that can address the need for a systematic method to design MEMS. It is expected that systematic design methods will make the design of micro devices transparent to the user and thus spur their use. Although topology optimization of MEMS devices with embedded actuation has received a great deal of attention among researchers recently, there is not a significant amount of literature available on the subject. The limited literature available addresses multi-physics topology optimization, which employs the homogenization method. However, the products of this method inherit the drawbacks of homogenized material discretization, including checkerboard pattern, gray-scale material and narrow flexural hinges in the optimum solution. In this thesis, a new topology optimization scheme is introduced that addresses the specific needs of MEMS domain. A new discretization approach with frame-ground structure is introduced. This approach offers significant conceptual and practical advantages to the compliant MEMS optimization problem, including compatibility with MEMS fabrication processes. The design spaces of compliant mechanisms are non-convex and it is critical to employ an algorithm capable of converging to the global optimum without the need to evaluate gradients of objective function. In this thesis, an efficient real-coded genetic algorithm is implemented, which shows a better repeatability and converges to very similar solutions in different runs. This new method of optimization facilitates the use of a coarse subdivision of the design domain rather than the homogenized material method, for the same resolution of shape definition. Therefore, the topology optimization scheme developed in this thesis significantly reduces the computational burden without compromising the sharpness of the shape definition. As the problem of compliant mechanism design is posed as a set of conflicting objectives, a well-posed multi-criteria objective function is introduced which avoids one objective dominating the solution. Moreover, the formulation is modified to incorporate electro-thermal boundaries and enables the optimization of the compliant mechanisms to transfer maximum motion or maximum force at the output. A number of design examples are used to demonstrate the ability of the procedure to generate non-intuitive topologies. Their performance is verified using ANSYS and compared with results from the homogenization method and designs reported in the available literature.

Structural topology optimization has been extensively studied in aeronautical, civil, and mechanical engineering applications in order to improve performance of systems. This thesis focuses on an optimal design of damping treatment using topology optimization, and the reduction of computational expense of the topology optimization procedure. This thesis presents mainly two works on topology optimization. In the first work, topology optimization is implemented to optimally design damping treatments in unconstrained-layer damping material. Since the damping effect relies on the placement of damping treatment, and the weight of damping material may be an important factor, the placement of damping material is optimally determined using topology optimization with an allowable maximum. Unconstrained-layer plate and shell structures are modeled. The damping layer on the unconstrained-layer structures is considered as the design domain. Using topology optimization, the damping layer is designed numerically, and then experimentally validated by comparing the damping effects. In the numerical example, the topological damping treatment usually provides much higher damping effects compared to other approaches such as strain energy distribution (SED) and an evolutionary structural optimization (ESO). In the second work, a numerical algorithm, named as reducible design variable method (RDVM) topology optimization, is proposed in order to efficiently reduce the computational expense. Since it usually requires thousands to millions of design variables and up to hundreds of iterations in topology optimization, the major difficulty is its computational expense. The RDVM topology optimization is implemented into static (minimization of compliance) and dynamic (maximization of the fundamental resonance frequency) problems. The RDVM significantly reduces computing time, as confirmed by numerical examples. / Thesis (Ph.D, Mechanical and Materials Engineering) -- Queen's University, 2011-07-08 10:10:20.606

Under-running of passenger vehicle is one of the major parameters to be considered during the design and development of truck chassis. Front Under-run Protection Device (FUPD) plays an important role in avoiding under-running of vehicles from front side of a truck. This thesis is used to develop additional device which stops the impact from frontal area, which will not allow the passenger car inside the truck. The complete thesis was started from an idea of adding FUPD to truck chassis. Design of FUPD is done using 3D CAD software CATIA V5R20, then complete FUPD assembly is imported and done pre-processing using Altair Hyper Mesh, for visualizing the results. Crash analysis is done using Altair Radioss & results interpretation is done using HyperView and Hypergraph. FUPD is designed based on ECE R93 which satisfies the failure criteria (Standard) of displacement less than 400 mm. An Initial Design is generated along with Holding Brackets as an assembly using CATIA V5 as a tool. Base design is further optimized for getting light weight structure that meets structural performance criteria. By assuming all the loading conditions as per the standards, an amount of 27% mass reduction is obtained in FUPD Assembly along with holding bracket.

Orientador: Renato Pavanello / Dissertação (mestrado) - Universidade Estadual de Campinas, Faculdade de Engenharia Mecânica / Made available in DSpace on 2018-08-27T18:05:36Z (GMT). No. of bitstreams: 1 QuispeRodriguez_Sergio_M.pdf: 51003475 bytes, checksum: 7e557fe0fe0448fd7cae415ebca527f8 (MD5) Previous issue date: 2015 / Resumo: A otimização estrutural topológica é uma ferramenta aplicada atualmente em muitos campos da engenharia tendo se consolidado no meio acadêmico e industrial. Em muitos casos práticos os carregamentos mecânicos e térmicos ocorrem simultaneamente nas estruturas. Nestas situações, a aplicação do método de otimização estrutural topológica deve contemplar tanto os requisitos mecânicos, como os requisitos térmicos. Assim, uma abordagem multi-física e multi-objetivo precisa ser desenvolvida para a solução desta classe de problemas. O presente trabalho é dedicado ao estudo da aplicação do método BESO (BESO - Bi-directional Evolutionary Structural Optimization) à sistemas multi-físicos considerando inicialmente os carregamentos termo-mecânicos como forças de corpo ou seja, forças dependentes do projeto. As funções objetivo consideradas são a flexibilidade média da estrutura e a capacidade térmica do sistema. A análise termo-mecânica é realizada usando o método de acoplamento sequencial, onde obtêm-se inicialmente a resposta do campo térmico, ou aplica-se um campo previamente conhecido do ponto da estrutura e na sequência calculam-se as forças térmicas geradas e a dilatação da estrutura. Explora-se também a otimização termo-mecânica multiobjetivo, em que duas funções objetivo são consideradas simultaneamente. Considera-se como o objetivo do problema de otimização, a minimização da flexibilidade média e a minimização da capacidade térmica, usando o método de soma ponderada. Para a validação dos procedimentos de otimização implementados neste trabalho, são apresentados exemplos de otimização para sistemas termo-mecânicos bidimensionais. A viabilidade do método para aplicação em problemas de engenharia e a comparação de resultados com outros métodos de otimização, permite afirmar que as técnicas propostas podem ser usadas na solução de problemas de otimização topológica de sistemas termo-mecânicos / Abstract: The structural topology optimization is an usefull tool applied in many engineering fields, having been established in the academic and industrial environments. In many practical cases, the mechanical and thermal loads occur simultaneously in a structure. In these cases, the aplication of structural topology optimization should consider the thermal and mechanical requirements. For this reason, a multi-physic and multi-objective approach needs to be developed for the solution of these types of problems. The present work is dedicated to the study of the BESO method (BESO - Bi-directional Evolutionary Structural Optimization) applied to multi-physic systems taking in consideration thermo-mechanical loads as design dependent body loads. The objective functions considered are the compliance and heat capacity of the system. The thermo-mechanical analysis is carried out using a sequential coupling method, where the thermal field response is obtained initially, and in the sequence, the thermal loads or dilation loads are calculated. The bi-objective thermo-mechanical optimization problem is also analysed, where two objective functions are considered simultaneously. To validate the procedures implemented in this work, some 2-D examples of thermo-mechancial systems optimization are presented. The feasibility of the method for the aplication in engineering problems and the comparison of the results obtained using other methods, alows to state that the proposed techniques can be used in the solution of optimization problems of thermo-mechanical systems / Mestrado / Mecanica dos Sólidos e Projeto Mecanico / Mestre em Engenharia Mecânica

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