Structure Preserving Integrators In Nonlinear Structural Dynamics And Flexible Multibody Dynamics
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Structure Preserving Integrators In Nonlinear Structural Dynamics And Flexible Multibody Dynamics
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Author : Peter Betsch
language : en
Publisher: Springer
Release Date : 2016-05-10
Structure Preserving Integrators In Nonlinear Structural Dynamics And Flexible Multibody Dynamics written by Peter Betsch and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-05-10 with Technology & Engineering categories.
This book focuses on structure-preserving numerical methods for flexible multibody dynamics, including nonlinear elastodynamics and geometrically exact models for beams and shells. It also deals with the newly emerging class of variational integrators as well as Lie-group integrators. It discusses two alternative approaches to the discretization in space of nonlinear beams and shells. Firstly, geometrically exact formulations, which are typically used in the finite element community and, secondly, the absolute nodal coordinate formulation, which is popular in the multibody dynamics community. Concerning the discretization in time, the energy-momentum method and its energy-decaying variants are discussed. It also addresses a number of issues that have arisen in the wake of the structure-preserving discretization in space. Among them are the parameterization of finite rotations, the incorporation of algebraic constraints and the computer implementation of the various numerical methods. The practical application of structure-preserving methods is illustrated by a number of examples dealing with, among others, nonlinear beams and shells, large deformation problems, long-term simulations and coupled thermo-mechanical multibody systems. In addition it links novel time integration methods to frequently used methods in industrial multibody system simulation.
Thermodynamically Consistent Space Time Discretization Of Non Isothermal Mechanical Systems In The Framework Of Generic
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Author : Schiebl, Mark Georg
language : en
Publisher: KIT Scientific Publishing
Release Date : 2022-01-18
Thermodynamically Consistent Space Time Discretization Of Non Isothermal Mechanical Systems In The Framework Of Generic written by Schiebl, Mark Georg and has been published by KIT Scientific Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-01-18 with Technology & Engineering categories.
The present work addresses the design of structure-preserving numerical methods that emanate from the general equation for non-equilibrium reversible-irreversible coupling (GENERIC) formalism. Novel energy-momentum (EM) consistent time-stepping schemes in the realm of molecular dynamics are proposed. Moreover, the GENERIC-based structure-preserving numerical methods are extended to the context of large-strain thermoelasticity and thermo-viscoelasticity.
Structure Preserving Space Time Discretization In A Mixed Framework For Multi Field Problems In Large Strain Elasticity
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Author : Janz, Alexander
language : en
Publisher: KIT Scientific Publishing
Release Date : 2019-07-31
Structure Preserving Space Time Discretization In A Mixed Framework For Multi Field Problems In Large Strain Elasticity written by Janz, Alexander and has been published by KIT Scientific Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-07-31 with Science categories.
Inverse Dynamics Of Underactuated Flexible Mechanical Systems Governed By Quasi Linear Hyperbolic Partial Differential Equations
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Author : Ströhle, Timo
language : en
Publisher: KIT Scientific Publishing
Release Date : 2024-02-26
Inverse Dynamics Of Underactuated Flexible Mechanical Systems Governed By Quasi Linear Hyperbolic Partial Differential Equations written by Ströhle, Timo and has been published by KIT Scientific Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-02-26 with categories.
This work is about the inverse dynamics of underactuated flexible mechanical systems governed by quasi-linear hyperbolic partial differential equations subjected to time-varying Dirichlet boundary conditions that are enforced by unknown, spatially disjunct, hence non-collocated Neumann boundary conditions.
Surveys In Differential Algebraic Equations Iv
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Author : Achim Ilchmann
language : en
Publisher: Springer
Release Date : 2017-03-08
Surveys In Differential Algebraic Equations Iv written by Achim Ilchmann and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-03-08 with Mathematics categories.
The present volume comprises survey articles on various fields of Differential-Algebraic Equations (DAEs) which have widespread applications in controlled dynamical systems, especially in mechanical and electrical engineering and a strong relation to (ordinary) differential equations. The individual chapters provide reviews, presentations of the current state of research and new concepts in - History of DAEs - DAE aspects of mechanical multibody systems - Model reduction of DAEs - Observability for DAEs - Numerical Analysis for DAEs The results are presented in an accessible style, making this book suitable not only for active researchers but also for graduate students (with a good knowledge of the basic principles of DAEs) for self-study.
Proceedings Of 8th Gacm Colloquium On Computational Mechanics
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Author : Tobias Gleim
language : en
Publisher: kassel university press GmbH
Release Date : 2019-09-04
Proceedings Of 8th Gacm Colloquium On Computational Mechanics written by Tobias Gleim and has been published by kassel university press GmbH this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-09-04 with Technology & Engineering categories.
This conference book contains papers presented at the 8th GACM Colloquium on Computational Mechanics for Young Scientists from Academia and Industry. The conference was held from August 28th – 30th, 2019 in Kassel, hosted by the Institute of Mechanics and Dynamics of the department for civil and environmental engineering and by the chair of Engineering Mechanics / Continuum Mechanics of the department for mechanical engineering of the University of Kassel. The aim of the conference is, to bring together young scientits who are engaged in academic and industrial research on Computational Mechanics and Computer Methods in Applied Sciences. It provides a plattform to present and discuss recent results from research efforts and industrial applications. In more than 150 presentations, given by young scientists, current scientific developments and advances in engineering practice in this field are presented and discussed. The contributions of the young researchers are supplemented by a poster session and plenary talks from four senior scientists from academia and industry as well as from the GACM Best PhD Award winners 2017 and 2018.
Computational Flexible Multibody Dynamics
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Author : Bernd Simeon
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-06-14
Computational Flexible Multibody Dynamics written by Bernd Simeon and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-06-14 with Mathematics categories.
This monograph, written from a numerical analysis perspective, aims to provide a comprehensive treatment of both the mathematical framework and the numerical methods for flexible multibody dynamics. Not only is this field permanently and rapidly growing, with various applications in aerospace engineering, biomechanics, robotics, and vehicle analysis, its foundations can also be built on reasonably established mathematical models. Regarding actual computations, great strides have been made over the last two decades, as sophisticated software packages are now capable of simulating highly complex structures with rigid and deformable components. The approach used in this book should benefit graduate students and scientists working in computational mechanics and related disciplines as well as those interested in time-dependent partial differential equations and heterogeneous problems with multiple time scales. Additionally, a number of open issues at the frontiers of research are addressed by taking a differential-algebraic approach and extending it to the notion of transient saddle point problems.
Nonlinear Dynamics Volume 2
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Author : Gaetan Kerschen
language : en
Publisher: Springer Science & Business Media
Release Date : 2014-03-28
Nonlinear Dynamics Volume 2 written by Gaetan Kerschen and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-03-28 with Technology & Engineering categories.
This second volume of eight from the IMAC - XXXII Conference, brings together contributions to this important area of research and engineering. The collection presents early findings and case studies on fundamental and applied aspects of Structural Dynamics, including papers on: Linear Systems Substructure Modelling Adaptive Structures Experimental Techniques Analytical Methods Damage Detection Damping of Materials & Members Modal Parameter Identification Modal Testing Methods System Identification Active Control Modal Parameter Estimation Processing Modal Data
Novel Mathematics Inspired By Industrial Challenges
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Author : Michael Günther
language : en
Publisher: Springer Nature
Release Date : 2022-03-30
Novel Mathematics Inspired By Industrial Challenges written by Michael Günther and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-03-30 with Mathematics categories.
This contributed volume convenes a rich selection of works with a focus on innovative mathematical methods with applications in real-world, industrial problems. Studies included in this book are all motivated by a relevant industrial challenge, and demonstrate that mathematics for industry can be extremely rewarding, leading to new mathematical methods and sometimes even to entirely new fields within mathematics. The book is organized into two parts: Computational Sciences and Engineering, and Data Analysis and Finance. In every chapter, readers will find a brief description of why such work fits into this volume; an explanation on which industrial challenges have been instrumental for their inspiration; and which methods have been developed as a result. All these contribute to a greater unity of the text, benefiting not only practitioners and professionals seeking information on novel techniques but also graduate students in applied mathematics, engineering, and related fields.
Nonlinear Structures Systems Volume 1
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Author : Gaetan Kerschen
language : en
Publisher: Springer Nature
Release Date : 2020-09-12
Nonlinear Structures Systems Volume 1 written by Gaetan Kerschen and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-09-12 with Technology & Engineering categories.
Nonlinear Structures & Systems, Volume 1: Proceedings of the 38th IMAC, A Conference and Exposition on Structural Dynamics, 2020, the first volume of eight from the Conference brings together contributions to this important area of research and engineering. The collection presents early findings and case studies on fundamental and applied aspects of Nonlinear Dynamics, including papers on: Nonlinear Reduced-order Modeling Jointed Structures: Identification, Mechanics, Dynamics Experimental Nonlinear Dynamics Nonlinear Model & Modal Interactions Nonlinear Damping Nonlinear Modeling & Simulation Nonlinearity & System Identification