Author: Leroy E. MadsenPublisher:
ISBN:
Category : Mathematical optimization
Languages : en
Pages : 89
Book Description
Engineering Design Optimization by the Augmented Lagrange Multiplier Method
Author: Leroy E. MadsenPublisher:
ISBN:
Category : Mathematical optimization
Languages : en
Pages : 89
Book Description
Design Optimization Using Augmented Lagrangian Particle Swarm Optimization
Author: Chethan Shivappa ThanehalliPublisher:
ISBN:
Category :
Languages : en
Pages :
Book Description
Engineering optimization problems normally include multiple, non-trivial, non-linear constraints. Traditionally gradient based optimization methods were used to solve these types of problems because of their high computational efficiency. But they generally require continuity of the optimization problem and the computation of derivatives and tend to get trapped in local minima. Hence non gradient based, evolutionary algorithms (EA) which are based on heuristic and stochastic nature and do not require continuity of the design space of the optimization problem and increase the probability to find a global optimal solution, therefore are becoming a popular choice in recent years. This work uses evolutionary algorithm based method called Augmented Lagrangian Particle Swarm Optimization (ALPSO). Note that Particle Swarm Optimization (PSO) technique was developed to solve unconstrained problem. An extended non-stationary penalty function approach, Augmented Lagrange Multiplier Method is used for constraint handling The ALPSO algorithm is robust and reliable technique for solving Engineering optimization problem. The capability of ALPSO is demonstrated by solving extension-twist coupling problem in composite laminate design. Besides verification of previously known optimal design computed by sequential quadratic programming method, ALPSO also generates new global optimal designs.
Engineering Design Optimization
Author: Joaquim R. R. A. MartinsPublisher: Cambridge University Press
ISBN: 1108833411
Category : Mathematics
Languages : en
Pages : 652
Book Description
A rigorous yet accessible graduate textbook covering both fundamental and advanced optimization theory and algorithms.
Engineering Design Optimization
Author: Joaquim R. R. A. MartinsPublisher: Cambridge University Press
ISBN: 110898861X
Category : Mathematics
Languages : en
Pages : 653
Book Description
Based on course-tested material, this rigorous yet accessible graduate textbook covers both fundamental and advanced optimization theory and algorithms. It covers a wide range of numerical methods and topics, including both gradient-based and gradient-free algorithms, multidisciplinary design optimization, and uncertainty, with instruction on how to determine which algorithm should be used for a given application. It also provides an overview of models and how to prepare them for use with numerical optimization, including derivative computation. Over 400 high-quality visualizations and numerous examples facilitate understanding of the theory, and practical tips address common issues encountered in practical engineering design optimization and how to address them. Numerous end-of-chapter homework problems, progressing in difficulty, help put knowledge into practice. Accompanied online by a solutions manual for instructors and source code for problems, this is ideal for a one- or two-semester graduate course on optimization in aerospace, civil, mechanical, electrical, and chemical engineering departments.
Optimization Methods for Engineering Design
Author: Richard L. FoxPublisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 288
Book Description
An Augmented Lagrange Multiplier Based Method for Mixed Integer Discrete Continuous Optimization and Its Applications to Mechanical Design
Author: Kannan KalyanasundaramPublisher:
ISBN:
Category : Mathematical optimization
Languages : en
Pages : 160
Book Description
New Optimization Techniques in Engineering
Author: Godfrey C. OnwuboluPublisher: Springer
ISBN: 3540399305
Category : Technology & Engineering
Languages : en
Pages : 716
Book Description
Presently, general-purpose optimization techniques such as Simulated Annealing, and Genetic Algorithms, have become standard optimization techniques. Concerted research efforts have been made recently in order to invent novel optimization techniques for solving real life problems, which have the attributes of memory update and population-based search solutions. The book describes a variety of these novel optimization techniques which in most cases outperform the standard optimization techniques in many application areas. New Optimization Techniques in Engineering reports applications and results of the novel optimization techniques considering a multitude of practical problems in the different engineering disciplines – presenting both the background of the subject area and the techniques for solving the problems.
Multidisciplinary Design Optimization Supported by Knowledge Based Engineering
Author: Jaroslaw Sobieszczanski-SobieskiPublisher: John Wiley & Sons
ISBN: 1118897099
Category : Technology & Engineering
Languages : en
Pages : 400
Book Description
Multidisciplinary Design Optimization supported by Knowledge Based Engineering supports engineers confronting this daunting and new design paradigm. It describes methodology for conducting a system design in a systematic and rigorous manner that supports human creativity to optimize the design objective(s) subject to constraints and uncertainties. The material presented builds on decades of experience in Multidisciplinary Design Optimization (MDO) methods, progress in concurrent computing, and Knowledge Based Engineering (KBE) tools. Key features: Comprehensively covers MDO and is the only book to directly link this with KBE methods Provides a pathway through basic optimization methods to MDO methods Directly links design optimization methods to the massively concurrent computing technology Emphasizes real world engineering design practice in the application of optimization methods Multidisciplinary Design Optimization supported by Knowledge Based Engineering is a one-stop-shop guide to the state-of-the-art tools in the MDO and KBE disciplines for systems design engineers and managers. Graduate or post-graduate students can use it to support their design courses, and researchers or developers of computer-aided design methods will find it useful as a wide-ranging reference.
Lagrange Multiplier Approach to Variational Problems and Applications
Author: Kazufumi ItoPublisher: SIAM
ISBN: 0898716497
Category : Mathematics
Languages : en
Pages : 354
Book Description
Analyses Lagrange multiplier theory and demonstrates its impact on the development of numerical algorithms for variational problems in function spaces.
Surrogate Model-Based Engineering Design and Optimization
Author: Ping JiangPublisher: Springer Nature
ISBN: 9811507317
Category : Technology & Engineering
Languages : en
Pages : 240
Book Description
This book covers some of the most popular methods in design space sampling, ensembling surrogate models, multi-fidelity surrogate model construction, surrogate model selection and validation, surrogate-based robust design optimization, and surrogate-based evolutionary optimization. Surrogate or metamodels are now frequently used in complex engineering product design to replace expensive simulations or physical experiments. They are constructed from available input parameter values and the corresponding output performance or quantities of interest (QOIs) to provide predictions based on the fitted or interpolated mathematical relationships. The book highlights a range of methods for ensembling surrogate and multi-fidelity models, which offer a good balance between surrogate modeling accuracy and building cost. A number of real-world engineering design problems, such as three-dimensional aircraft design, are also provided to illustrate the ability of surrogates for supporting complex engineering design. Lastly, illustrative examples are included throughout to help explain the approaches in a more “hands-on” manner.