Structure Preserving Integrators In Nonlinear Structural Dynamics And Flexible Multibody Dynamics PDF Download
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Author | : Peter Betsch |
Publisher | : Springer |
Total Pages | : 298 |
Release | : 2016-05-10 |
Genre | : Technology & Engineering |
ISBN | : 3319318799 |
Download Structure-preserving Integrators in Nonlinear Structural Dynamics and Flexible Multibody Dynamics Book in PDF, ePub and Kindle
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.
Author | : Janz, Alexander |
Publisher | : KIT Scientific Publishing |
Total Pages | : 216 |
Release | : 2019-07-31 |
Genre | : Science |
ISBN | : 3731509261 |
Download Structure-preserving space-time discretization in a mixed framework for multi-field problems in large strain elasticity Book in PDF, ePub and Kindle
Author | : Schiebl, Mark Georg |
Publisher | : KIT Scientific Publishing |
Total Pages | : 238 |
Release | : 2022-01-18 |
Genre | : Technology & Engineering |
ISBN | : 3731511177 |
Download Thermodynamically consistent space-time discretization of non-isothermal mechanical systems in the framework of GENERIC Book in PDF, ePub and Kindle
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.
Author | : Ströhle, Timo |
Publisher | : KIT Scientific Publishing |
Total Pages | : 174 |
Release | : 2024-02-26 |
Genre | : |
ISBN | : 3731513366 |
Download Inverse dynamics of underactuated flexible mechanical systems governed by quasi-linear hyperbolic partial differential equations Book in PDF, ePub and Kindle
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.
Author | : Achim Ilchmann |
Publisher | : Springer |
Total Pages | : 312 |
Release | : 2017-03-08 |
Genre | : Mathematics |
ISBN | : 3319466186 |
Download Surveys in Differential-Algebraic Equations IV Book in PDF, ePub and Kindle
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.
Author | : Jorge A. C. Ambrósio |
Publisher | : |
Total Pages | : 304 |
Release | : 2001 |
Genre | : Machinery, Dynamics of |
ISBN | : |
Download Computational Aspects of Nonlinear Structural Systems with Large Rigid Body Motion Book in PDF, ePub and Kindle
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.
Author | : Michael Günther |
Publisher | : Springer Nature |
Total Pages | : 348 |
Release | : 2022-03-30 |
Genre | : Mathematics |
ISBN | : 3030961737 |
Download Novel Mathematics Inspired by Industrial Challenges Book in PDF, ePub and Kindle
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.
Author | : Tobias Gleim |
Publisher | : kassel university press GmbH |
Total Pages | : 493 |
Release | : 2019-09-04 |
Genre | : Technology & Engineering |
ISBN | : 3737650934 |
Download Proceedings of 8th GACM Colloquium on Computational Mechanics Book in PDF, ePub and Kindle
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.
Author | : O. A. Bauchau |
Publisher | : Springer Science & Business Media |
Total Pages | : 730 |
Release | : 2010-10-23 |
Genre | : Technology & Engineering |
ISBN | : 940070335X |
Download Flexible Multibody Dynamics Book in PDF, ePub and Kindle
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.
Author | : Bernd Simeon |
Publisher | : Springer Science & Business Media |
Total Pages | : 254 |
Release | : 2013-06-14 |
Genre | : Mathematics |
ISBN | : 3642351581 |
Download Computational Flexible Multibody Dynamics Book in PDF, ePub and Kindle
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.