Mathematical Modeling And Optimization Of Complex Structures

Author : Pekka Neittaanmäki,Sergey Repin,Tero Tuovinen
Publisher : Springer
Page : 328 pages
File Size : 43,8 Mb
Release : 2015-10-07
Category : Technology & Engineering
ISBN : 9783319235646

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Mathematical Modeling and Optimization of Complex Structures by Pekka Neittaanmäki,Sergey Repin,Tero Tuovinen Pdf

This volume contains selected papers in three closely related areas: mathematical modeling in mechanics, numerical analysis, and optimization methods. The papers are based upon talks presented on the International Conference for Mathematical Modeling and Optimization in Mechanics, held in Jyväskylä, Finland, March 6-7, 2014 dedicated to Prof. N. Banichuk on the occasion of his 70th birthday. The articles are written by well-known scientists working in computational mechanics and in optimization of complicated technical models. Also, the volume contains papers discussing the historical development, the state of the art, new ideas, and open problems arising in modern continuum mechanics and applied optimization problems. Several papers are concerned with mathematical problems in numerical analysis, which are also closely related to important mechanical models. The main topics treated include: * Computer simulation methods in mechanics, physics, and biology; * Variational problems and methods; minimization algorithms; * Optimal control problems with distributed and discrete control; * Shape optimization and shape design problems in science and engineering; * Sensitivity analysis and parameters optimization of complex systems.

Author : Tony Hürlimann
Publisher : Springer Science & Business Media
Page : 323 pages
File Size : 54,7 Mb
Release : 2013-03-14
Category : Mathematics
ISBN : 9781475757934

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Mathematical Modeling and Optimization by Tony Hürlimann Pdf

Computer-based mathematical modeling - the technique of representing and managing models in machine-readable form - is still in its infancy despite the many powerful mathematical software packages already available which can solve astonishingly complex and large models. On the one hand, using mathematical and logical notation, we can formulate models which cannot be solved by any computer in reasonable time - or which cannot even be solved by any method. On the other hand, we can solve certain classes of much larger models than we can practically handle and manipulate without heavy programming. This is especially true in operations research where it is common to solve models with many thousands of variables. Even today, there are no general modeling tools that accompany the whole modeling process from start to finish, that is to say, from model creation to report writing. This book proposes a framework for computer-based modeling. More precisely, it puts forward a modeling language as a kernel representation for mathematical models. It presents a general specification for modeling tools. The book does not expose any solution methods or algorithms which may be useful in solving models, neither is it a treatise on how to build them. No help is intended here for the modeler by giving practical modeling exercises, although several models will be presented in order to illustrate the framework. Nevertheless, a short introduction to the modeling process is given in order to expound the necessary background for the proposed modeling framework.

Author : Yunkang Sui,Xirong Peng
Publisher : Butterworth-Heinemann
Page : 394 pages
File Size : 46,5 Mb
Release : 2017-08-29
Category : Technology & Engineering
ISBN : 9780128126561

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Modeling, Solving and Application for Topology Optimization of Continuum Structures: ICM Method Based on Step Function by Yunkang Sui,Xirong Peng Pdf

Modelling, Solving and Applications for Topology Optimization of Continuum Structures: ICM Method Based on Step Function provides an introduction to the history of structural optimization, along with a summary of the existing state-of-the-art research on topology optimization of continuum structures. It systematically introduces basic concepts and principles of ICM method, also including modeling and solutions to complex engineering problems with different constraints and boundary conditions. The book features many numerical examples that are solved by the ICM method, helping researchers and engineers solve their own problems on topology optimization. This valuable reference is ideal for researchers in structural optimization design, teachers and students in colleges and universities working, and majoring in, related engineering fields, and structural engineers. Offers a comprehensive discussion that includes both the mathematical basis and establishment of optimization models Centers on the application of ICM method in various situations with the introduction of easily coded software Provides illustrations of a large number of examples to facilitate the applications of ICM method across a variety of disciplines

Author : Hans Georg Bock
Publisher : Springer Science & Business Media
Page : 612 pages
File Size : 44,5 Mb
Release : 2005-02-14
Category : Computers
ISBN : 3540230270

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Modeling, Simulation and Optimization of Complex Processes by Hans Georg Bock Pdf

This proceedings volume contains a selection of papers presented at the symposium "International Conference on High Performance Scientific Computing'' held at the Hanoi Institute of Mathematics of the Vietnam National Center for Natural Science and Technology (NCST), March 10-14, 2003. The conference has been organized by the Hanoi Institute of Mathematics, SFB 359 ''Reactive Flows, Transport and Diffusion'', Heidelberg, Ho Chi Minh City University of Technology and Interdisciplinary Center for Scientific Computing (IWR), Heidelberg. The contributions cover the broad interdisciplinary spectrum of scientific computing and present recent advances in theory, development of methods, and applications in practice. Subjects covered are mathematical modelling, numerical simulation, methods for optimization and optimal control, parallel computing, symbolic computing, software development, applications of scientific computing in physics, chemistry, biology and mechanics, environmental and hydrology problems, transport, logistics and site location, communication networks, production scheduling, industrial and commercial problems.

Author : A. Borkowski,S. Jendo,W. Prager,M. Save
Publisher : Springer Science & Business Media
Page : 422 pages
File Size : 45,6 Mb
Release : 1990-01-31
Category : Mathematics
ISBN : 0306418622

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Structural Optimization, by A. Borkowski,S. Jendo,W. Prager,M. Save Pdf

Author : Hans Georg Bock,Ekaterina Kostina,Xuan Phu Hoang,Rolf Rannacher
Publisher : Springer Science & Business Media
Page : 665 pages
File Size : 47,6 Mb
Release : 2008-06-19
Category : Computers
ISBN : 9783540794097

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Modeling, Simulation and Optimization of Complex Processes by Hans Georg Bock,Ekaterina Kostina,Xuan Phu Hoang,Rolf Rannacher Pdf

This proceedings volume covers the broad interdisciplinary spectrum of scientific computing and presents recent advances in theory, development of methods, and applications in practice.

Author : Somnath Bhattacharyya,Jitendra Kumar,Koeli Ghoshal
Publisher : Springer Nature
Page : 497 pages
File Size : 43,9 Mb
Release : 2020-04-20
Category : Mathematics
ISBN : 9789811536151

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Mathematical Modeling and Computational Tools by Somnath Bhattacharyya,Jitendra Kumar,Koeli Ghoshal Pdf

This book features original research papers presented at the International Conference on Computational and Applied Mathematics, held at the Indian Institute of Technology Kharagpur, India during November 23–25, 2018. This book covers various topics under applied mathematics, ranging from modeling of fluid flow, numerical techniques to physical problems, electrokinetic transport phenomenon, graph theory and optimization, stochastic modelling and machine learning. It introduces the mathematical modeling of complicated scientific problems, discusses micro- and nanoscale transport phenomena, recent development in sophisticated numerical algorithms with applications, and gives an in-depth analysis of complicated real-world problems. With contributions from internationally acclaimed academic researchers and experienced practitioners and covering interdisciplinary applications, this book is a valuable resource for researchers and students in fields of mathematics, statistics, engineering, and health care.

Author : K.-H. Hoffmann,Irena Lasiecka,G. Leugering,J. Sprekels,Fredi Tröltzsch
Publisher : Birkhäuser
Page : 290 pages
File Size : 53,6 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9783034881487

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Optimal Control of Complex Structures by K.-H. Hoffmann,Irena Lasiecka,G. Leugering,J. Sprekels,Fredi Tröltzsch Pdf

Interest in the area of control of systems defined by partial differential Equations has increased strongly in recent years. A major reason has been the requirement of these systems for sensible continuum mechanical modelling and optimization or control techniques which account for typical physical phenomena. Particular examples of problems on which substantial progress has been made are the control and stabilization of mechatronic structures, the control of growth of thin films and crystals, the control of Laser and semi-conductor devices, and shape optimization problems for turbomachine blades, shells, smart materials and microdiffractive optics. This volume contains original articles by world reknowned experts in the fields of optimal control of partial differential equations, shape optimization, numerical methods for partial differential equations and fluid dynamics, all of whom have contributed to the analysis and solution of many of the problems discussed. The collection provides a state-of-the-art overview of the most challenging and exciting recent developments in the field. It is geared towards postgraduate students and researchers dealing with the theoretical and practical aspects of a wide variety of high technology problems in applied mathematics, fluid control, optimal design, and computer modelling.

Author : Kwang-Yong Kim,Abdus Samad,Ernesto Benini
Publisher : John Wiley & Sons
Page : 406 pages
File Size : 41,9 Mb
Release : 2019-01-14
Category : Science
ISBN : 9781119188308

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Design Optimization of Fluid Machinery by Kwang-Yong Kim,Abdus Samad,Ernesto Benini Pdf

Dieses aktuelle Referenzwerk behandelt numerische Optimierungsmethoden für Strömungsmaschinen und die wichtigsten industriellen Anwendungen. Grundlagen sind umfangreiche Forschung und Erfahrung der Autoren. Die logischen Zusammenhänge, um den Bereich der numerischen Strömungssimulation (CFD) zu verstehen, werden anhand der Grundlagen der Strömungsmechanik, von Strömungsmaschinen und ihrer Komponenten erläutert. Im Anschluss folgt eine Einführung in Methoden der Ein- und Mehrzieloptimierung, die automatische Optimierung, in Ersatzmodelle und Entwicklungsalgorithmen. Das Fachbuch schließt mit der ausführlichen Erklärung von Designansätzen und Anwendungen für Pumpen, Turbinen, Kompressoren und weiteren Systemen von Strömungsmaschinen. Der Nachdruck liegt hier bei Systemen für erneuerbare Energien. - Die Autoren sind führende Experten des Fachgebiets. - Ein handliches Fachbuch zu Optimierungsmethoden mittels numerischer Strömungssimulation bei Strömungsmaschinen. - Beschreibt wichtige Anwendungsbereiche in der Industrie und enthält Kapitel zu Systemen für erneuerbaren Energien. Design Optimization of Fluid Machinery ist ein wichtiger Leitfaden für Graduierte, Forscher und Ingenieure aus den Bereichen Strömungsmaschinen und zugehörige Optimierungsmethoden. Als Fachbuch mit allem Wissenswerten zu dem Thema richtet es sich an Studenten höherer Semester der Fachrichtungen Maschinenbau und verwandter Bereiche der Strömungssimulation und Luft-/Raumfahrttechnik.

Author : Josef Kallrath
Publisher : Springer Science & Business Media
Page : 427 pages
File Size : 44,6 Mb
Release : 2013-12-01
Category : Mathematics
ISBN : 9781461302155

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Modeling Languages in Mathematical Optimization by Josef Kallrath Pdf

This volume presents a unique combination of modeling and solving real world optimization problems. It is the only book which treats systematically the major modeling languages and systems used to solve mathematical optimization problems, and it also provides a useful overview and orientation of today's modeling languages in mathematical optimization. It demonstrates the strengths and characteristic features of such languages and provides a bridge for researchers, practitioners and students into a new world: solving real optimization problems with the most advances modeling systems.

Author : Giorgio Fasano,János D. Pintér
Publisher : Springer
Page : 492 pages
File Size : 41,7 Mb
Release : 2016-12-31
Category : Mathematics
ISBN : 9783319415086

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Space Engineering by Giorgio Fasano,János D. Pintér Pdf

This book presents a selection of advanced case studies that cover a substantial range of issues and real-world challenges and applications in space engineering. Vital mathematical modeling, optimization methodologies and numerical solution aspects of each application case study are presented in detail, with discussions of a range of advanced model development and solution techniques and tools. Space engineering challenges are discussed in the following contexts: •Advanced Space Vehicle Design •Computation of Optimal Low Thrust Transfers •Indirect Optimization of Spacecraft Trajectories •Resource-Constrained Scheduling, •Packing Problems in Space •Design of Complex Interplanetary Trajectories •Satellite Constellation Image Acquisition •Re-entry Test Vehicle Configuration Selection •Collision Risk Assessment on Perturbed Orbits •Optimal Robust Design of Hybrid Rocket Engines •Nonlinear Regression Analysis in Space Engineering •Regression-Based Sensitivity Analysis and Robust Design •Low-Thrust Multi-Revolution Orbit Transfers •Modeling and Optimization of Balance Layout Problems •Pilot-Induced Oscillations Alleviation •Modeling and Optimization of Hybrid Transfers to Near-Earth Objects •Probabilistic Safety Analysis of the Collision Between Space Debris and Satellite •Flatness-based Low-thrust Trajectory Optimization for Spacecraft Proximity Operations The contributing authors are expert researchers and practitioners in either the space engineering and/or in the applied optimization fields. Researchers and practitioners working in various applied aspects of space engineering will find this book practical and informative. Academics, graduate and post-graduate students in aerospace engineering, applied mathematics, operations research, optimization, and optimal control, will find this book useful.

Author : Andrzej Ziębik,Krzysztof Hoinka
Publisher : Springer Science & Business Media
Page : 346 pages
File Size : 41,8 Mb
Release : 2012-10-13
Category : Technology & Engineering
ISBN : 9781447143819

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Energy Systems of Complex Buildings by Andrzej Ziębik,Krzysztof Hoinka Pdf

The production and consumption of energy carriers in complex buildings take place within the network of interconnected energy processes. For this reason, a change carried out in one energy process influences other energy processes. Therefore, all balance equations of energy carriers should be investigated as a whole, and energy management of complex buildings creates a large energy system with internal relationships between energy installations and the equipment, as well as external relationships with the environment. Energy Systems of Complex Buildings presents the system approach to the energy-ecological analysis of energy management in complex buildings. Mathematical models of balancing the direct energy consumption, as well as cumulative energy consumption and cumulative emission of noxious substances are based on input-output analysis. Algorithms devoted to system analysis in the exploitation of energy management of complex buildings are included. In the case of ecological analysis, a new approach is presented basing on the idea of thermoecological costs. In this way, two groups of noxious influence (depletion of non-renewable energy resources and emissions of noxious substances) are taken into account. The LCA energy-ecological analysis of complex buildings has also been presented. Students, building designers, energy auditors, and researchers will learn the methodology of evaluating the energy and ecological effects by applying new technologies and devices in buildings, which influence future investigations concerning the energy and ecological analysis of complex buildings.

Author : Lakhmi C. Jain,Margarita N. Favorskaya,Ilia S. Nikitin,Dmitry L. Reviznikov
Publisher : Springer Nature
Page : 378 pages
File Size : 55,7 Mb
Release : 2021-03-14
Category : Technology & Engineering
ISBN : 9789813348264

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Applied Mathematics and Computational Mechanics for Smart Applications by Lakhmi C. Jain,Margarita N. Favorskaya,Ilia S. Nikitin,Dmitry L. Reviznikov Pdf

This book presents best selected research papers presented at the Thirteenth International Conference on Applied Mathematics and Mechanics in the Aerospace Industry (AMMAI 2020), held from September 6 to September 13, 2020, at the Alushta Health and Educational Center (The Republic of Crimea). The book is dedicated to solving actual problems of applied mechanics using modern computer technology including smart paradigms. Physical and mathematical models, numerical methods, computational algorithms, and software complexes are discussed, which allow to carry out high-precision mathematical modeling in fluid, gas, and plasma mechanics, in general mechanics, deformable solid mechanics, in strength, destruction and safety of structures, etc. Technologies and software systems that provide effective solutions to the problems at various multi-scale levels are considered. Special attention is paid to the training of highly qualified specialists for the aviation and space industry. The book is recommended for specialists in the field of applied mathematics and mechanics, mathematical modeling, information technologies, and developers of modern applied software systems.

Author : José Manuel García Sánchez
Publisher : Springer Nature
Page : 291 pages
File Size : 41,5 Mb
Release : 2020-10-31
Category : Business & Economics
ISBN : 9783030572501

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Modelling in Mathematical Programming by José Manuel García Sánchez Pdf

This book provides basic tools for learning how to model in mathematical programming, from models without much complexity to complex system models. It presents a unique methodology for the building of an integral mathematical model, as well as new techniques that help build under own criteria. It allows readers to structure models from the elements and variables to the constraints, a basic modelling guide for any system with a new scheme of variables, a classification of constraints and also a set of rules to model specifications stated as logical propositions, helping to better understand models already existing in the literature. It also presents the modelling of all possible objectives that may arise in optimization problems regarding the variables values. The book is structured to guide the reader in an orderly manner, learning of the components that the methodology establishes in an optimization problem. The system includes the elements, which are all the actors that participate in the system, decision activities that occur in the system, calculations based on the decision activities, specifications such as regulations, impositions or actions of defined value and objective criterion, which guides the resolution of the system.

Author : Martin Philip Bendsoe,Ole Sigmund
Publisher : Springer
Page : 370 pages
File Size : 46,9 Mb
Release : 2011-09-17
Category : Mathematics
ISBN : 364207698X

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Topology Optimization by Martin Philip Bendsoe,Ole Sigmund Pdf

The topology optimization method solves the basic enginee- ring problem of distributing a limited amount of material in a design space. The first edition of this book has become the standard text on optimal design which is concerned with the optimization of structural topology, shape and material. This edition, has been substantially revised and updated to reflect progress made in modelling and computational procedures. It also encompasses a comprehensive and unified description of the state-of-the-art of the so-called material distribution method, based on the use of mathematical programming and finite elements. Applications treated include not only structures but also materials and MEMS.