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Structure Preserving Integrators In Nonlinear Structural Dynamics And Flexible Multibody Dynamics
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Book Synopsis Structure-preserving Integrators in Nonlinear Structural Dynamics and Flexible Multibody Dynamics by : Peter Betsch
Download or read book Structure-preserving Integrators in Nonlinear Structural Dynamics and Flexible Multibody Dynamics written by Peter Betsch and published by Springer. This book was released on 2016-05-10 with total page 298 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Thermodynamically consistent space-time discretization of non-isothermal mechanical systems in the framework of GENERIC by : Schiebl, Mark Georg
Download or read book Thermodynamically consistent space-time discretization of non-isothermal mechanical systems in the framework of GENERIC written by Schiebl, Mark Georg and published by KIT Scientific Publishing. This book was released on 2022-01-18 with total page 238 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Structure-preserving space-time discretization in a mixed framework for multi-field problems in large strain elasticity by : Janz, Alexander
Download or read book Structure-preserving space-time discretization in a mixed framework for multi-field problems in large strain elasticity written by Janz, Alexander and published by KIT Scientific Publishing. This book was released on 2019-07-31 with total page 216 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Inverse dynamics of underactuated flexible mechanical systems governed by quasi-linear hyperbolic partial differential equations by : Ströhle, Timo
Download or read book Inverse dynamics of underactuated flexible mechanical systems governed by quasi-linear hyperbolic partial differential equations written by Ströhle, Timo and published by KIT Scientific Publishing. This book was released on 2024-02-26 with total page 174 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Surveys in Differential-Algebraic Equations IV by : Achim Ilchmann
Download or read book Surveys in Differential-Algebraic Equations IV written by Achim Ilchmann and published by Springer. This book was released on 2017-03-08 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Novel Mathematics Inspired by Industrial Challenges by : Michael Günther
Download or read book Novel Mathematics Inspired by Industrial Challenges written by Michael Günther and published by Springer Nature. This book was released on 2022-03-30 with total page 348 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Proceedings of 8th GACM Colloquium on Computational Mechanics by : Tobias Gleim
Download or read book Proceedings of 8th GACM Colloquium on Computational Mechanics written by Tobias Gleim and published by kassel university press GmbH. This book was released on 2019-09-04 with total page 493 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Flexible Multibody Dynamics by : O. A. Bauchau
Download or read book Flexible Multibody Dynamics written by O. A. Bauchau and published by Springer Science & Business Media. This book was released on 2010-10-23 with total page 730 pages. Available in PDF, EPUB and Kindle. Book excerpt: The author developed this text over many years, teaching graduate courses in advanced dynamics and flexible multibody dynamics at the Daniel Guggenheim School of Aerospace Engineering of the Georgia Institute of Technology. The book presents a unified treatment of rigid body dynamics, analytical dynamics, constrained dynamics, and flexible multibody dynamics. A comprehensive review of numerical tools used to enforce both holonomic and nonholonomic constraints is presented. Advanced topics such as Maggi’s, index-1, null space, and Udwadia and Kalaba’s formulations are presented because of their fundamental importance in multibody dynamics. Methodologies for the parameterization of rotation and motion are discussed and contrasted. Geometrically exact beams and shells formulations, which have become the standard in flexible multibody dynamics, are presented and numerical aspects of their finite element implementation detailed. Methodologies for the direct solution of the index-3 differential-algebraic equations characteristic of constrained multibody systems are presented. It is shown that with the help of proper scaling procedures, such equations are not more difficult to integrate than ordinary differential equations. This book is illustrated with numerous examples and should prove valuable to both students and researchers in the fields of rigid and flexible multibody dynamics.
Book Synopsis Computational Flexible Multibody Dynamics by : Bernd Simeon
Download or read book Computational Flexible Multibody Dynamics written by Bernd Simeon and published by Springer Science & Business Media. This book was released on 2013-06-14 with total page 254 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis The Finite Element Method for Solid and Structural Mechanics by : O. C. Zienkiewicz
Download or read book The Finite Element Method for Solid and Structural Mechanics written by O. C. Zienkiewicz and published by Elsevier. This book was released on 2005-08-09 with total page 653 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the key text and reference for engineers, researchers and senior students dealing with the analysis and modelling of structures – from large civil engineering projects such as dams, to aircraft structures, through to small engineered components. Covering small and large deformation behaviour of solids and structures, it is an essential book for engineers and mathematicians. The new edition is a complete solids and structures text and reference in its own right and forms part of the world-renowned Finite Element Method series by Zienkiewicz and Taylor. New material in this edition includes separate coverage of solid continua and structural theories of rods, plates and shells; extended coverage of plasticity (isotropic and anisotropic); node-to-surface and 'mortar' method treatments; problems involving solids and rigid and pseudo-rigid bodies; and multi-scale modelling. - Dedicated coverage of solid and structural mechanics by world-renowned authors, Zienkiewicz and Taylor - New material including separate coverage of solid continua and structural theories of rods, plates and shells; extended coverage for small and finite deformation; elastic and inelastic material constitution; contact modelling; problems involving solids, rigid and discrete elements; and multi-scale modelling
Book Synopsis Nonlinear Dynamics, Volume 2 by : Gaetan Kerschen
Download or read book Nonlinear Dynamics, Volume 2 written by Gaetan Kerschen and published by Springer Science & Business Media. This book was released on 2014-03-28 with total page 314 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
Book Synopsis The Finite Element Method Set by : O. C. Zienkiewicz
Download or read book The Finite Element Method Set written by O. C. Zienkiewicz and published by Elsevier. This book was released on 2005-11-25 with total page 1863 pages. Available in PDF, EPUB and Kindle. Book excerpt: The sixth editions of these seminal books deliver the most up to date and comprehensive reference yet on the finite element method for all engineers and mathematicians. Renowned for their scope, range and authority, the new editions have been significantly developed in terms of both contents and scope. Each book is now complete in its own right and provides self-contained reference; used together they provide a formidable resource covering the theory and the application of the universally used FEM. Written by the leading professors in their fields, the three books cover the basis of the method, its application to solid mechanics and to fluid dynamics.* This is THE classic finite element method set, by two the subject's leading authors * FEM is a constantly developing subject, and any professional or student of engineering involved in understanding the computational modelling of physical systems will inevitably use the techniques in these books * Fully up-to-date; ideal for teaching and reference
Book Synopsis Simulation Techniques for Applied Dynamics by : Martin Arnold
Download or read book Simulation Techniques for Applied Dynamics written by Martin Arnold and published by Springer Science & Business Media. This book was released on 2009-06-15 with total page 382 pages. Available in PDF, EPUB and Kindle. Book excerpt: The coupling of models from different physical domains and the efficient and reliable simulation of multidisciplinary problems in engineering applications are important topics for various fields of engineering, in simulation technology and in the development and analysis of numerical solvers. The volume presents advanced modelling and simulation techniques for the dynamical analysis of coupled engineering systems consisting of mechanical, electrical, hydraulic and biological components as well as control devices often based on computer hardware and software. The book starts with some basics in multibody dynamics and in port-based modelling and focuses on the modelling and simulation of heterogeneous systems with special emphasis on robust and efficient numerical solution techniques and on a variety of applied problems including case studies of co-simulation in industrial applications, methods and problems of model based controller design and real-time application.
Book Synopsis Nonlinear Structures & Systems, Volume 1 by : Gaetan Kerschen
Download or read book Nonlinear Structures & Systems, Volume 1 written by Gaetan Kerschen and published by Springer Nature. This book was released on 2020-09-12 with total page 291 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
Book Synopsis Dynamics of Multibody Systems by : Ahmed A. Shabana
Download or read book Dynamics of Multibody Systems written by Ahmed A. Shabana and published by Cambridge University Press. This book was released on 2013-09-02 with total page 397 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introducing multibody dynamics with an emphasis on flexible body dynamics, this edition features an additional chapter with explanations for the fundamental issues addressed.
Book Synopsis Scientific and Technical Aerospace Reports by :
Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1995 with total page 500 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Computational Aspects of Nonlinear Structural Systems with Large Rigid Body Motion by : Jorge A. C. Ambrósio
Download or read book Computational Aspects of Nonlinear Structural Systems with Large Rigid Body Motion written by Jorge A. C. Ambrósio and published by . This book was released on 2001 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt: Published as an outgrowth of a July 2000 NATO Advanced Research Workshop, this volume brings together work representing the various generally non-interacting scientific communities concerned with the workshop topic, in the interests of generating some cross-talk. The field has seen some major recent developments, some finding their way into commercial, general purpose software intended for complex industrial applications. Thirteen contributions consider four major themes: flexible multibody systems, finite element procedures for structural systems with large rotations, numerical integration methods for rigid and flexible systems, and advanced methods in systems with large rigid body motion. The contributors are based in France, Italy, Germany, Greece, Portugal, Poland, the US, and Australia. Author index only. Annotation copyrighted by Book News, Inc., Portland, OR.
