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  • About
  • The Global ETD Search service is a free service for researchers to find electronic theses and dissertations. This service is provided by the Networked Digital Library of Theses and Dissertations.
    Our metadata is collected from universities around the world. If you manage a university/consortium/country archive and want to be added, details can be found on the NDLTD website.
101

Adaptive Operation Decisions for a System of Smart Buildings

January 2012 (has links)
abstract: Buildings (approximately half commercial and half residential) consume over 70% of the electricity among all the consumption units in the United States. Buildings are also responsible for approximately 40% of CO2 emissions, which is more than any other industry sectors. As a result, the initiative smart building which aims to not only manage electrical consumption in an efficient way but also reduce the damaging effect of greenhouse gases on the environment has been launched. Another important technology being promoted by government agencies is the smart grid which manages energy usage across a wide range of buildings in an effort to reduce cost and increase reliability and transparency. As a great amount of efforts have been devoted to these two initiatives by either exploring the smart grid designs or developing technologies for smart buildings, the research studying how the smart buildings and smart grid coordinate thus more efficiently use the energy is currently lacking. In this dissertation, a "system-of-system" approach is employed to develop an integrated building model which consists a number of buildings (building cluster) interacting with smart grid. The buildings can function as both energy consumption unit as well as energy generation/storage unit. Memetic Algorithm (MA) and Particle Swarm Optimization (PSO) based decision framework are developed for building operation decisions. In addition, Particle Filter (PF) is explored as a mean for fusing online sensor and meter data so adaptive decision could be made in responding to dynamic environment. The dissertation is divided into three inter-connected research components. First, an integrated building energy model including building consumption, storage, generation sub-systems for the building cluster is developed. Then a bi-level Memetic Algorithm (MA) based decentralized decision framework is developed to identify the Pareto optimal operation strategies for the building cluster. The Pareto solutions not only enable multiple dimensional tradeoff analysis, but also provide valuable insight for determining pricing mechanisms and power grid capacity. Secondly, a multi-objective PSO based decision framework is developed to reduce the computational effort of the MA based decision framework without scarifying accuracy. With the improved performance, the decision time scale could be refined to make it capable for hourly operation decisions. Finally, by integrating the multi-objective PSO based decision framework with PF, an adaptive framework is developed for adaptive operation decisions for smart building cluster. The adaptive framework not only enables me to develop a high fidelity decision model but also enables the building cluster to respond to the dynamics and uncertainties inherent in the system. / Dissertation/Thesis / Ph.D. Industrial Engineering 2012
102

Otimização de parâmetros concentrados de suspensão para conforto e segurança veicular / Optimization of lumped parameters of suspension for vehicle comfort and safety

Drehmer, Luis Roberto Centeno January 2012 (has links)
O presente trabalho avalia a otimização de parâmetros concentrados de suspensão em veículos e considera a importância deste processo para minimizar a aceleração vertical rms transmitida para garantir conforto e segurança ao motorista. Dessa forma, o trabalho objetiva desenvolver uma modelagem capaz de representar o veículo completo para então otimizar os parâmetros de rigidez e amortecimento no domínio da frequência e identificar, em torno do ponto ótimo, quais desses parâmetros mais influenciam nessa minimização. Para atingir esses objetivos, dois modelos veiculares (com dois e oito graus de liberdade respectivamente) são propostos conforme as orientações das normas BS 6841 (1987), ISO 8608 (1995) e ISO 2631 (1997). Os modelos são analisados linearmente e otimizados por um algoritmo heurístico de enxame de partículas. Finalmente, os resultados de rigidez e amortecimento da suspensão são obtidos e reduzem em até 35,3% a aceleração vertical rms transmitida ao motorista. Por meio de uma análise de sensibilidade, as variáveis de projeto que mais contribuem para essa redução são identificadas. / The present work evaluates the optimization of lumped parameters of suspension on vehicles and considers the importance of this process to minimize the rms vertical acceleration transmitted to ensure comfort and safety to the driver. Thus, this work aims to develop a model able to represent the whole vehicle and, then, optimize the parameters of stiffness and damping in the frequency domain and identify, around the optimal point, those parameters which most influence in this minimization. To achieve these goals, two vehicle models (with two and eight degrees of freedom respectively) are proposed according to the guidelines of the standards BS 6841 (1987), ISO 8608 (1995) and ISO 2631 (1997). The models are linearly analyzed and optimized by a heuristic algorithm of particle swarm. Finally, the results of stiffness and damping of suspension are obtained and reduces up to 35,3% of rms vertical acceleration transmitted to the driver. Through a sensitivity analysis, the design variables that most contribute to this reduction are identified.
103

STUDY OF PARTICLE SWARM FOR OPTIMAL POWER FLOW IN IEEE BENCHMARK SYSTEMS INCLUDING WIND POWER GENERATORS

Abuella, Mohamed A. 01 December 2012 (has links)
AN ABSTRACT OF THE THESIS OF Mohamed A. Abuella, for the Master of Science degree in Electrical and Computer Engineering, presented on May 10, 2012, at Southern Illinois University Carbondale. TITLE:STUDY OF PARTICLE SWARM FOR OPTIMAL POWER FLOW IN IEEE BENCHMARK SYSTEMS INCLUDING WIND POWER GENERATORS MAJOR PROFESSOR: Dr. C. Hatziadoniu, The aim of this thesis is the optimal economic dispatch of real power in systems that include wind power. The economic dispatch of wind power units is quite different of conventional thermal units. In addition, the consideration should take the intermittency nature of wind speed and operating constraints as well. Therefore, this thesis uses a model that considers the aforementioned considerations in addition to whether the utility owns wind turbines or not. The optimal power flow (OPF) is solved by using one of the modern optimization algorithms: the particle swarm optimization algorithm (PSO). IEEE 30-bus test system has been adapted to study the implementation PSO algorithm in OPF of conventional-thermal generators. A small and simple 6-bus system has been used to study OPF of a system that includes wind-powered generators besides to thermal generators. The analysis of investigations on power systems is presented in tabulated and illustrative methods to lead to clear conclusions.
104

AN EFFECTIVE PARALLEL PARTICLE SWARM OPTIMIZATION ALGORITHM AND ITS PERFORMANCE EVALUATION

Maripi, Jagadish Kumar 01 December 2010 (has links)
Population-based global optimization algorithms including Particle Swarm Optimization (PSO) have become popular for solving multi-optima problems much more efficiently than the traditional mathematical techniques. In this research, we present and evaluate a new parallel PSO algorithm that provides a significant performance improvement as compared to the serial PSO algorithm. Instead of merely assigning parts of the task of serial version to several processors, the new algorithm places multiple swarms on the available nodes in which operate independently, while collaborating on the same task. With the reduction of the communication bottleneck as well the ability to manipulate the individual swarms independently, the proposed approach outperforms the original PSO algorithm and still maintains the simplicity and ease of implementation.
105

Um algoritmo PSO híbrido para planejamento de caminhos em navegação de veículos utilizando A*

Gasperazzo, Stéfano Terci 27 November 2014 (has links)
Submitted by Maykon Nascimento (maykon.albani@hotmail.com) on 2015-08-03T18:48:30Z No. of bitstreams: 2 license_rdf: 23148 bytes, checksum: 9da0b6dfac957114c6a7714714b86306 (MD5) Um algoritmo PSO híbrido para planejamento de caminhos em navegação de veículos utilizando A.pdf: 2604695 bytes, checksum: ed8f69e49eaefe272bccd6025290c381 (MD5) / Approved for entry into archive by Elizabete Silva (elizabete.silva@ufes.br) on 2015-08-13T21:44:43Z (GMT) No. of bitstreams: 2 license_rdf: 23148 bytes, checksum: 9da0b6dfac957114c6a7714714b86306 (MD5) Um algoritmo PSO híbrido para planejamento de caminhos em navegação de veículos utilizando A.pdf: 2604695 bytes, checksum: ed8f69e49eaefe272bccd6025290c381 (MD5) / Made available in DSpace on 2015-08-13T21:44:43Z (GMT). No. of bitstreams: 2 license_rdf: 23148 bytes, checksum: 9da0b6dfac957114c6a7714714b86306 (MD5) Um algoritmo PSO híbrido para planejamento de caminhos em navegação de veículos utilizando A.pdf: 2604695 bytes, checksum: ed8f69e49eaefe272bccd6025290c381 (MD5) Previous issue date: 2015 / Utilizar robôs autônomos capazes de planejar o seu caminho é um desafio que atrai vários pesquisadores na área de navegação de robôs. Neste contexto, este trabalho tem como objetivo implementar um algoritmo PSO híbrido para o planejamento de caminhos em ambientes estáticos para veículos holonômicos e não holonômicos. O algoritmo proposto possui duas fases: a primeira utiliza o algoritmo A* para encontrar uma trajetória inicial viável que o algoritmo PSO otimiza na segunda fase. Por fim, uma fase de pós planejamento pode ser aplicada no caminho a fim de adaptá-lo às restrições cinemáticas do veículo não holonômico. O modelo Ackerman foi considerado para os experimentos. O ambiente de simulação de robótica CARMEN (Carnegie Mellon Robot Navigation Toolkit) foi utilizado para realização de todos os experimentos computacionais considerando cinco instâncias de mapas geradas artificialmente com obstáculos. O desempenho do algoritmo desenvolvido, A*PSO, foi comparado com os algoritmos A*, PSO convencional e A* Estado Híbrido. A análise dos resultados indicou que o algoritmo A*PSO híbrido desenvolvido superou em qualidade de solução o PSO convencional. Apesar de ter encontrado melhores soluções em 40% das instâncias quando comparado com o A*, o A*PSO apresentou trajetórias com menos pontos de guinada. Investigando os resultados obtidos para o modelo não holonômico, o A*PSO obteve caminhos maiores entretanto mais suaves e seguros. / Autonomous robots with the ability of planning their own way is a challenge that attracts many researchers in the area of robot navigation. In this context, this work aims to implement a hybrid PSO algorithm for planning paths in static environments for holonomic and non-holonomic vehicles. The proposed algorithm has two phases: the first uses A* algorithm to generates an initial and feasible trajectory which is optimized by the PSO algorithm in the second stage. Finally a post path planning phase can be applied in order to adapt it to non-holonomic vehicle kinematic constraints. The Ackerman model has been considered for the experiments. The Carnegie Mellon Robot Navigation Toolkit (CARMEN) was used to perform the computational experiments considering five instances of maps artificially generated with obstacles. The performance of the A*PSO algorithm was compared with A*, PSO and A*-Hybrid State. The results of the dynamic instances were not compared with other algorithms. The computational results indicates that the algorithm A*PSO outperformes the PSO algorithm. With respect to the algorithm A*, the A*PSO achieved better solutions for 40% of the tested instances, but all of them, with less waypoints. For non-holonomic instances, the A*PSO obtained longer paths, however smoother and safer.
106

Dimensionamento ótimo de painéis fotovoltaicos usando enxame de partículas modificado para reduzir as perdas de energia e melhorar o perfil de tensão.

Souza, Jeane Silva de 29 February 2016 (has links)
Submitted by Morgana Silva (morgana_linhares@yahoo.com.br) on 2016-09-27T17:05:15Z No. of bitstreams: 1 arquivototal.pdf: 2911484 bytes, checksum: a40eec3093de5890811339c6b3e86fa7 (MD5) / Made available in DSpace on 2016-09-27T17:05:15Z (GMT). No. of bitstreams: 1 arquivototal.pdf: 2911484 bytes, checksum: a40eec3093de5890811339c6b3e86fa7 (MD5) Previous issue date: 2016-02-29 / Coordenação de Aperfeiçoamento de Pessoal de Nível Superior - CAPES / This work presents a method of sizing photovoltaic panels using modified Particle swarm (MPSO) in order to reduce power losses and improve the voltage profile. For implementation was used the PowerFactory® software, specifically programing language DIgSILENT (DPL). The proposed method was applied at the first time in the IEEE 13-bus system. After validating, it was applied to a real system, Federal University of Paraíba (UFPB). The results show that the proposed method have the ability to provide the best dimensions of photovoltaic panels distributed at the University, improving of the voltage profile and reducing energy losses / Este trabalho apresenta um método de dimensionamento de painéis fotovoltaicos usando enxame de partículas modificado (MPSO), a fim de reduzir as perdas de energia e melhorar o perfil de tensão. Para a implementação é utilizado o software PowerFactory®, especificamente a linguagem de programação em DIgSILENT (DPL). O método proposto foi aplicado inicialmente no sistema IEEE 13-barras. Após a validação, foi aplicada a um sistema real, Universidade Federal da Paraíba (UFPB). Os resultados mostram que o método proposto tem a capacidade de proporcionar as melhores dimensões de módulos fotovoltaicos distribuídos na micro rede da Universidade, melhorando o perfil de tensão e reduzindo as perdas de energia.
107

Otimização de parâmetros concentrados de suspensão para conforto e segurança veicular / Optimization of lumped parameters of suspension for vehicle comfort and safety

Drehmer, Luis Roberto Centeno January 2012 (has links)
O presente trabalho avalia a otimização de parâmetros concentrados de suspensão em veículos e considera a importância deste processo para minimizar a aceleração vertical rms transmitida para garantir conforto e segurança ao motorista. Dessa forma, o trabalho objetiva desenvolver uma modelagem capaz de representar o veículo completo para então otimizar os parâmetros de rigidez e amortecimento no domínio da frequência e identificar, em torno do ponto ótimo, quais desses parâmetros mais influenciam nessa minimização. Para atingir esses objetivos, dois modelos veiculares (com dois e oito graus de liberdade respectivamente) são propostos conforme as orientações das normas BS 6841 (1987), ISO 8608 (1995) e ISO 2631 (1997). Os modelos são analisados linearmente e otimizados por um algoritmo heurístico de enxame de partículas. Finalmente, os resultados de rigidez e amortecimento da suspensão são obtidos e reduzem em até 35,3% a aceleração vertical rms transmitida ao motorista. Por meio de uma análise de sensibilidade, as variáveis de projeto que mais contribuem para essa redução são identificadas. / The present work evaluates the optimization of lumped parameters of suspension on vehicles and considers the importance of this process to minimize the rms vertical acceleration transmitted to ensure comfort and safety to the driver. Thus, this work aims to develop a model able to represent the whole vehicle and, then, optimize the parameters of stiffness and damping in the frequency domain and identify, around the optimal point, those parameters which most influence in this minimization. To achieve these goals, two vehicle models (with two and eight degrees of freedom respectively) are proposed according to the guidelines of the standards BS 6841 (1987), ISO 8608 (1995) and ISO 2631 (1997). The models are linearly analyzed and optimized by a heuristic algorithm of particle swarm. Finally, the results of stiffness and damping of suspension are obtained and reduces up to 35,3% of rms vertical acceleration transmitted to the driver. Through a sensitivity analysis, the design variables that most contribute to this reduction are identified.
108

Utilização de CPGs e técnicas de inteligência computacional na geração de marcha em robôs humanóides / Using CPGs and computational intelligence techniques in the gait generation of humanoid robots

Paiva, Rafael Cortes de 18 August 2014 (has links)
Dissertação (mestrado)—Universidade de Brasília, Faculdade de Tecnologia, Departamento de Engenharia Elétrica, 2014. / Submitted by Ana Cristina Barbosa da Silva (annabds@hotmail.com) on 2014-11-25T17:23:31Z No. of bitstreams: 1 2014_RafaelCortesdePaiva.pdf: 7660330 bytes, checksum: eaad53db8e1c76edec638a3e30ee5f3e (MD5) / Approved for entry into archive by Raquel Viana(raquelviana@bce.unb.br) on 2014-11-25T17:58:53Z (GMT) No. of bitstreams: 1 2014_RafaelCortesdePaiva.pdf: 7660330 bytes, checksum: eaad53db8e1c76edec638a3e30ee5f3e (MD5) / Made available in DSpace on 2014-11-25T17:58:54Z (GMT). No. of bitstreams: 1 2014_RafaelCortesdePaiva.pdf: 7660330 bytes, checksum: eaad53db8e1c76edec638a3e30ee5f3e (MD5) / Nesse trabalho foi realizado o estudo de técnicas bio-inspiradas para gerar a marcha de um robô bípede. Foi utilizado o conceito de CPG, Central Pattern Generator (CPG), que é uma rede neural capaz de produzir respostas rítmicas. Elas foram modeladas como osciladores acoplados chamados de osciladores neurais. Para tanto foram utilizados alguns modelos de osciladores, o modelo de Matsuoka, o modelo de Kuramoto e o modelo de Kuramoto com acoplamento entre a dinâmica do oscilador e a dinâmica da marcha. Foram usados dois modelos de robôs, o Bioloid e o NAO. Para otimizar os parâmetros dos osciladores foram utilizados o Algoritmo Genético (AG), o Particle Swarm Optimization (PSO) e o Nondominated sorting Genetic Algorithm II (NSGA-II). Foi utilizada uma função de custo que através de determinadas condições tem como objetivo obter uma marcha eficiente. No NSGA-II, além dessa função de custo, foi utilizada outra função de custo que considera o trabalho realizado pelo robô. Além disso, também foi utilizada a aprendizagem por reforço para treinar um controlador que corrige a postura do robô durante a marcha. Foi possível propor um framework para obter os parâmetros dos osciladores e através dele obter uma marcha estável em ambas as plataformas. Também foi possível propor um framework utilizando aprendizagem por reforço para treinar um controlador para corrigir a postura do robô com a marcha sendo gerado pelo oscilador de Kuramoto com acoplamento. O objetivo do algoritmo foi minimizar a velocidade do ângulo de arfagem do corpo do robô, dessa forma, a variação do ângulo de arfagem também foi minimizada consequentemente. Além disso, o robô andou mais “cautelosamente” para poder manter a postura e dessa forma percorreu uma distância menor do que se estivesse sem o controlador. ______________________________________________________________________________ ABSTRACT / This document describes computational optimized bipedal robot gait generators. Thegaits are applied by a neural oscillator, composed of coupled central pattern generators(CPG), which are neural networks capable of producing rhythmic output. The models ofthe oscillators used were the Matsuoka model, Kuramoto model and Kura moto model withcoupling between the dynamics of the oscillator and dynamics of the gait. Two bipedalrobots, a NAO and a Bioloid, were used. The neural oscillators were optimized with threealgorithms, a Genetic Algorithm (GA), Particle Swarm Optimization (PSO) and Nondominatedsorting Genetic Algorithm II (NSGA-II). It was used a fitness function that has theobjective to obtain an efficient gait through some conditions. In NSGA-II, besides this fitnessfunction, another one was used that has the objective to minimize the work done by therobot. Additionally, reinforcement learning techniques were used to train a controller thatcorrects the robots gait posture. It was proposed a framework to obtain the parameters of theoscillators used and obtain efficient gaits in both robots. Also, it was proposed a frameworkusing reinforcement learning to train a controller to correct the robots gait posture. The objective of the algorithm was to minimize the pitch angular velocity, consequently the pitchangle standard deviation was minimized. Additionally, the robot moved with more “caution” and walked less compared with the walk without the posture controller.
109

Comparação de algoritmos de enxame de partículas para otimização de problemas em larga escala / Comparison of particle swarm optimization algorithms for large scale problems

Melo, Leonardo Alves Moreira de 26 October 2018 (has links)
Submitted by Luciana Ferreira (lucgeral@gmail.com) on 2018-11-29T10:40:19Z No. of bitstreams: 2 Dissertação - Leonardo Alves Moreira de Melo - 2018.pdf: 2693689 bytes, checksum: 850fbad5a82099825d2478ba3415dcac (MD5) license_rdf: 0 bytes, checksum: d41d8cd98f00b204e9800998ecf8427e (MD5) / Approved for entry into archive by Luciana Ferreira (lucgeral@gmail.com) on 2018-11-29T11:09:58Z (GMT) No. of bitstreams: 2 Dissertação - Leonardo Alves Moreira de Melo - 2018.pdf: 2693689 bytes, checksum: 850fbad5a82099825d2478ba3415dcac (MD5) license_rdf: 0 bytes, checksum: d41d8cd98f00b204e9800998ecf8427e (MD5) / Made available in DSpace on 2018-11-29T11:09:58Z (GMT). No. of bitstreams: 2 Dissertação - Leonardo Alves Moreira de Melo - 2018.pdf: 2693689 bytes, checksum: 850fbad5a82099825d2478ba3415dcac (MD5) license_rdf: 0 bytes, checksum: d41d8cd98f00b204e9800998ecf8427e (MD5) Previous issue date: 2018-10-26 / Fundação de Amparo à Pesquisa do Estado de Goiás - FAPEG / In order to address an issue concerning the increasing number of algorithms based on particle swarm optimization (PSO) applied to solve large-scale optimization problems (up to 2000 variables), this article presents analysis and comparisons among five state- of-the-art PSO algorithms (CCPSO2, LSS- PSO, OBL-PSO, SPSO and VCPSO). Tests were performed to illustrate the e ciency and feasibility of using the algorithms for this type of problem. Six benchmark functions most commonly used in the literature (Ackley 1, Griewank, Rastrigin, Rosenbrock, Schwefel 1.2 and Sphere) were tested. The experiments were performed using a high-dimensional problem (500 variables), varying the number of particles (50, 100 and 200 particles) in each algorithm, thus increasing the computational complexity. The analysis showed that the CCPSO2 and OBL-PSO algorithms found significantly better solutions than the other algorithms for more complex multimodal problems (which most resemble realworld problems). However, considering unimodal functions, the CCPSO2 algorithm stood out before the others. Our results and experimental analysis suggest that CCPSO2 and OBL- PSO seem to be highly competitive optimization algorithms to solve complex and multimodal optimization problems. / O número de algoritmos baseados na otimização por enxame de partículas (PSO) aplicados para resolver problemas de otimização em grande escala (até 2.000 variáveis) aumentou significativamente. Este trabalho apresenta análises e comparações entre cinco algoritmos (CCPSO2, LSSPSO, OBL-CPSO, SPSO e VCPSO). Testes foram realizados para ilustrar a eficiência e viabilidade de usar os algoritmos para resolver problemas em larga escala. Seis funções de referência que são comumente utilizadas na literatura (Ackley 1, Griewank, Rastrigin, Rosenbrock, Schwefel 1.2 e Sphere) foram utilizadas para testar a performancedesses algoritmos. Os experimentos foram realizados utilizando um problema de alta dimensionalidade (500 variáveis), variando o número de partículas (50, 100 e 200 partículas) em cada algoritmo, aumentando assim a complexidade computacional. A análise mostrou que os algoritmos CCPSO2 e OBL-CPSO mostraram-se significativamente melhores que os outros algoritmos para problemas multimodais mais complexos (que mais se assemelham a problemas reais). No entanto, considerando as funções unimodais, o algoritmo CCPSO2 destacou-se perante os demais. Nossos resultados e análises experimentais sugerem que o CCPSO2 e o OBL-CPSO são algoritmos de otimização altamente competitivos para resolver problemas de otimização complexos e multimodais em larga escala.
110

Otimização de parâmetros concentrados de suspensão para conforto e segurança veicular / Optimization of lumped parameters of suspension for vehicle comfort and safety

Drehmer, Luis Roberto Centeno January 2012 (has links)
O presente trabalho avalia a otimização de parâmetros concentrados de suspensão em veículos e considera a importância deste processo para minimizar a aceleração vertical rms transmitida para garantir conforto e segurança ao motorista. Dessa forma, o trabalho objetiva desenvolver uma modelagem capaz de representar o veículo completo para então otimizar os parâmetros de rigidez e amortecimento no domínio da frequência e identificar, em torno do ponto ótimo, quais desses parâmetros mais influenciam nessa minimização. Para atingir esses objetivos, dois modelos veiculares (com dois e oito graus de liberdade respectivamente) são propostos conforme as orientações das normas BS 6841 (1987), ISO 8608 (1995) e ISO 2631 (1997). Os modelos são analisados linearmente e otimizados por um algoritmo heurístico de enxame de partículas. Finalmente, os resultados de rigidez e amortecimento da suspensão são obtidos e reduzem em até 35,3% a aceleração vertical rms transmitida ao motorista. Por meio de uma análise de sensibilidade, as variáveis de projeto que mais contribuem para essa redução são identificadas. / The present work evaluates the optimization of lumped parameters of suspension on vehicles and considers the importance of this process to minimize the rms vertical acceleration transmitted to ensure comfort and safety to the driver. Thus, this work aims to develop a model able to represent the whole vehicle and, then, optimize the parameters of stiffness and damping in the frequency domain and identify, around the optimal point, those parameters which most influence in this minimization. To achieve these goals, two vehicle models (with two and eight degrees of freedom respectively) are proposed according to the guidelines of the standards BS 6841 (1987), ISO 8608 (1995) and ISO 2631 (1997). The models are linearly analyzed and optimized by a heuristic algorithm of particle swarm. Finally, the results of stiffness and damping of suspension are obtained and reduces up to 35,3% of rms vertical acceleration transmitted to the driver. Through a sensitivity analysis, the design variables that most contribute to this reduction are identified.

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