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Author: Pierre Phalippou Publisher: ISBN: Category : Languages : en Pages : 0
Book Description
Vehicle manufacturers face numerous constraints regarding security, comfort, weight, and fuel consumption when designing new automotive vehicles. Numerical simulation, and more precisely, the finite element method, is extensively used in the process to achieve cost reduction while allowing to test the impact of multiple design parameters on the system behavior. Nevertheless, industrial finite element models of automotive crash are growing prohibitively expensive in computation time, slowing down the design process. Numerous model order reduction methods have been developed in order to speed-up simulations by making use of the humongous amount of collected data and the repetitiveness of computations with slight changes to the design variables. This thesis aims to apply model order reduction methods to finite element simulations of automotive crash, involving material and geometric nonlinearity as well as contact. This project, conducted in close collaboration between the car manufacturer PSA group, the software developer Altair engineering, and the computational mechanics group at the UTC-CNRS joint laboratory Roberval, targets intrusive methods necessitating modifications in the finite element solver source code. Amongst different promising methods reviewed in the state-of-the-art, our work focuses on projection-based reduced order modeling and hyper-reduction. A reduced-basis of global shape functions is built upon relevant data in the online training phase and used online to reduce the model size, enabling the hyper-reduction of internal forces and computational speed-up. The contributions of this thesis concern three aspects of the training phase. Developments of the incremental singular value decomposition allow for a more flexible and faster reduced-basis training. The proposed sparse criterion enables the formation of basis functions subsets with enhanced performances and better correlation between the online training phase approximation error and the actual error in the online reduction phase. An innovative formulation of the hyper-reduction optimization problem involving mixed-integer programming, added constraints on polynomial integration, and volume conservation is suggested for the benchmarking of future heuristic methods. All implementations are performed in the industrial explicit finite element solver Altair Radioss with complete access to the source code. To the author's best knowledge, the implementation of such a method in industrial explicit finite element solver represents a significant differentiator of the present contribution. Implementation specific difficulties relevant to this aspect of the thesis are discussed. Finally, recommendations, as well as perspectives and further developments required for the robust application of the method to industrial numerical simulations of vehicle crash, are given.
Author: Pierre Phalippou Publisher: ISBN: Category : Languages : en Pages : 0
Book Description
Vehicle manufacturers face numerous constraints regarding security, comfort, weight, and fuel consumption when designing new automotive vehicles. Numerical simulation, and more precisely, the finite element method, is extensively used in the process to achieve cost reduction while allowing to test the impact of multiple design parameters on the system behavior. Nevertheless, industrial finite element models of automotive crash are growing prohibitively expensive in computation time, slowing down the design process. Numerous model order reduction methods have been developed in order to speed-up simulations by making use of the humongous amount of collected data and the repetitiveness of computations with slight changes to the design variables. This thesis aims to apply model order reduction methods to finite element simulations of automotive crash, involving material and geometric nonlinearity as well as contact. This project, conducted in close collaboration between the car manufacturer PSA group, the software developer Altair engineering, and the computational mechanics group at the UTC-CNRS joint laboratory Roberval, targets intrusive methods necessitating modifications in the finite element solver source code. Amongst different promising methods reviewed in the state-of-the-art, our work focuses on projection-based reduced order modeling and hyper-reduction. A reduced-basis of global shape functions is built upon relevant data in the online training phase and used online to reduce the model size, enabling the hyper-reduction of internal forces and computational speed-up. The contributions of this thesis concern three aspects of the training phase. Developments of the incremental singular value decomposition allow for a more flexible and faster reduced-basis training. The proposed sparse criterion enables the formation of basis functions subsets with enhanced performances and better correlation between the online training phase approximation error and the actual error in the online reduction phase. An innovative formulation of the hyper-reduction optimization problem involving mixed-integer programming, added constraints on polynomial integration, and volume conservation is suggested for the benchmarking of future heuristic methods. All implementations are performed in the industrial explicit finite element solver Altair Radioss with complete access to the source code. To the author's best knowledge, the implementation of such a method in industrial explicit finite element solver represents a significant differentiator of the present contribution. Implementation specific difficulties relevant to this aspect of the thesis are discussed. Finally, recommendations, as well as perspectives and further developments required for the robust application of the method to industrial numerical simulations of vehicle crash, are given.
Author: Karl Johan Åström Publisher: Princeton University Press ISBN: 069121347X Category : Technology & Engineering Languages : en Pages :
Book Description
The essential introduction to the principles and applications of feedback systems—now fully revised and expanded This textbook covers the mathematics needed to model, analyze, and design feedback systems. Now more user-friendly than ever, this revised and expanded edition of Feedback Systems is a one-volume resource for students and researchers in mathematics and engineering. It has applications across a range of disciplines that utilize feedback in physical, biological, information, and economic systems. Karl Åström and Richard Murray use techniques from physics, computer science, and operations research to introduce control-oriented modeling. They begin with state space tools for analysis and design, including stability of solutions, Lyapunov functions, reachability, state feedback observability, and estimators. The matrix exponential plays a central role in the analysis of linear control systems, allowing a concise development of many of the key concepts for this class of models. Åström and Murray then develop and explain tools in the frequency domain, including transfer functions, Nyquist analysis, PID control, frequency domain design, and robustness. Features a new chapter on design principles and tools, illustrating the types of problems that can be solved using feedback Includes a new chapter on fundamental limits and new material on the Routh-Hurwitz criterion and root locus plots Provides exercises at the end of every chapter Comes with an electronic solutions manual An ideal textbook for undergraduate and graduate students Indispensable for researchers seeking a self-contained resource on control theory
Author: Peter Benner Publisher: SIAM ISBN: 161197481X Category : Science Languages : en Pages : 421
Book Description
Many physical, chemical, biomedical, and technical processes can be described by partial differential equations or dynamical systems. In spite of increasing computational capacities, many problems are of such high complexity that they are solvable only with severe simplifications, and the design of efficient numerical schemes remains a central research challenge. This book presents a tutorial introduction to recent developments in mathematical methods for model reduction and approximation of complex systems. Model Reduction and Approximation: Theory and Algorithms contains three parts that cover (I) sampling-based methods, such as the reduced basis method and proper orthogonal decomposition, (II) approximation of high-dimensional problems by low-rank tensor techniques, and (III) system-theoretic methods, such as balanced truncation, interpolatory methods, and the Loewner framework. It is tutorial in nature, giving an accessible introduction to state-of-the-art model reduction and approximation methods. It also covers a wide range of methods drawn from typically distinct communities (sampling based, tensor based, system-theoretic).?? This book is intended for researchers interested in model reduction and approximation, particularly graduate students and young researchers.
Author: J. W. Dungey Publisher: Cambridge University Press ISBN: 1316601870 Category : Science Languages : en Pages : 195
Book Description
Originally published in 1958, this informative textbook was primarily designed for undergraduate students and presents a classical account of cosmic electrodynamics, as well as addressing the rapid changes and growth in the field and discussing the new and emerging developments at the time of publication. Detailed, clearly written and replete with equations and diagrams, this book systematically includes a section on each major topic and explains both the physics of the subject as well as the mathematics necessary for a thorough and full understanding. Multiple topics and sub topics are considered and analysed, including the velocity-distribution method, magnetic storms and ionospheric electrodynamics. This book captures the very dynamism and vibrancy of the subject and goes into much greater detail than most physics textbooks at the time. It will be of significant value to scholars of astrophysics as well as to anyone with an interest in the history of education.
Author: Michael Blundell Publisher: Elsevier ISBN: 0750651121 Category : Control theory Languages : en Pages : 542
Book Description
Comprehensive, up-to-date and firmly rooted in practical experience, a key publication for all automotive engineers, dynamicists and students.
Author: Winfried Keiper Publisher: Springer ISBN: 3319753193 Category : Mathematics Languages : en Pages : 184
Book Description
This edited monograph collects research contributions and addresses the advancement of efficient numerical procedures in the area of model order reduction (MOR) for simulation, optimization and control. The topical scope includes, but is not limited to, new out-of-the-box algorithmic solutions for scientific computing, e.g. reduced basis methods for industrial problems and MOR approaches for electrochemical processes. The target audience comprises research experts and practitioners in the field of simulation, optimization and control, but the book may also be beneficial for graduate students alike.
Author: Andreas Horni Publisher: Ubiquity Press ISBN: 190918876X Category : Technology & Engineering Languages : en Pages : 620
Book Description
The MATSim (Multi-Agent Transport Simulation) software project was started around 2006 with the goal of generating traffic and congestion patterns by following individual synthetic travelers through their daily or weekly activity programme. It has since then evolved from a collection of stand-alone C++ programs to an integrated Java-based framework which is publicly hosted, open-source available, automatically regression tested. It is currently used by about 40 groups throughout the world. This book takes stock of the current status. The first part of the book gives an introduction to the most important concepts, with the intention of enabling a potential user to set up and run basic simulations. The second part of the book describes how the basic functionality can be extended, for example by adding schedule-based public transit, electric or autonomous cars, paratransit, or within-day replanning. For each extension, the text provides pointers to the additional documentation and to the code base. It is also discussed how people with appropriate Java programming skills can write their own extensions, and plug them into the MATSim core. The project has started from the basic idea that traffic is a consequence of human behavior, and thus humans and their behavior should be the starting point of all modelling, and with the intuition that when simulations with 100 million particles are possible in computational physics, then behavior-oriented simulations with 10 million travelers should be possible in travel behavior research. The initial implementations thus combined concepts from computational physics and complex adaptive systems with concepts from travel behavior research. The third part of the book looks at theoretical concepts that are able to describe important aspects of the simulation system; for example, under certain conditions the code becomes a Monte Carlo engine sampling from a discrete choice model. Another important aspect is the interpretation of the MATSim score as utility in the microeconomic sense, opening up a connection to benefit cost analysis. Finally, the book collects use cases as they have been undertaken with MATSim. All current users of MATSim were invited to submit their work, and many followed with sometimes crisp and short and sometimes longer contributions, always with pointers to additional references. We hope that the book will become an invitation to explore, to build and to extend agent-based modeling of travel behavior from the stable and well tested core of MATSim documented here.
Author: Martin Treiber Publisher: Springer Science & Business Media ISBN: 3642324592 Category : Science Languages : en Pages : 505
Book Description
This textbook provides a comprehensive and instructive coverage of vehicular traffic flow dynamics and modeling. It makes this fascinating interdisciplinary topic, which to date was only documented in parts by specialized monographs, accessible to a broad readership. Numerous figures and problems with solutions help the reader to quickly understand and practice the presented concepts. This book is targeted at students of physics and traffic engineering and, more generally, also at students and professionals in computer science, mathematics, and interdisciplinary topics. It also offers material for project work in programming and simulation at college and university level. The main part, after presenting different categories of traffic data, is devoted to a mathematical description of the dynamics of traffic flow, covering macroscopic models which describe traffic in terms of density, as well as microscopic many-particle models in which each particle corresponds to a vehicle and its driver. Focus chapters on traffic instabilities and model calibration/validation present these topics in a novel and systematic way. Finally, the theoretical framework is shown at work in selected applications such as traffic-state and travel-time estimation, intelligent transportation systems, traffic operations management, and a detailed physics-based model for fuel consumption and emissions.
Author: Louis G. Birta Publisher: Springer Science & Business Media ISBN: 1846286212 Category : Computers Languages : en Pages : 463
Book Description
This book provides a balanced and integrated presentation of modelling and simulation activity for both Discrete Event Dynamic Systems (DEDS) and Continuous Time Dynamic Systems (CYDS). The authors establish a clear distinction between the activity of modelling and that of simulation, maintaining this distinction throughout. The text offers a novel project-oriented approach for developing the modelling and simulation methodology, providing a solid basis for demonstrating the dependency of model structure and granularity on project goals. Comprehensive presentation of the verification and validation activities within the modelling and simulation context is also shown.
Author: Pierre Phalippou
Author: Pierre Phalippou
Author: Karl Johan Åström
Author: Peter Benner
Author: J. W. Dungey
Author: Michael Blundell
Author: Winfried Keiper
Author: Andreas Horni
Author: 
Author: Martin Treiber
Author: Louis G. Birta