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Titlebook: Structure-preserving Integrators in Nonlinear Structural Dynamics and Flexible Multibody Dynamics; Peter Betsch Book 2016 CISM Internation

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书目名称Structure-preserving Integrators in Nonlinear Structural Dynamics and Flexible Multibody Dynamics
编辑Peter Betsch
视频video
概述Presents a state-of-the-art review of structure-preserving.numerical methods for constrained mechanical systems.Offers contemporary treatment of numerical methods for.flexible multibody dynamics.Outli
丛书名称CISM International Centre for Mechanical Sciences
图书封面Titlebook: Structure-preserving Integrators in Nonlinear Structural Dynamics and Flexible Multibody Dynamics;  Peter Betsch Book 2016 CISM Internation
描述This book focuses on structure-preserving numerical methodsfor flexible multibody dynamics, including nonlinear elastodynamics andgeometrically exact models for beams and shells. It also deals with the newlyemerging class of variational integrators as well as Lie-group integrators. Itdiscusses two alternative approaches to the discretization in space ofnonlinear beams and shells. Firstly, geometrically exact formulations, whichare typically used in the finite element community and, secondly, the absolutenodal coordinate formulation, which is popular in the multibody dynamicscommunity. Concerning the discretization in time, the energy-momentum methodand its energy-decaying variants are discussed. It also addresses a number ofissues that have arisen in the wake of the structure-preserving discretizationin space. Among them are the parameterization of finite rotations, theincorporation of algebraic constraints and the computer implementation of thevarious numerical methods. The practical application of structure-preservingmethods is illustrated by a number of examples dealing with, among others,nonlinear beams and shells, large deformation problems, long-term simulationsand coupled th
出版日期Book 2016
关键词Absolute Nodel Coordinate Formulation; Energy-decaying Methods; Energy-momentum Method; Generalized-alp
版次1
doihttps://doi.org/10.1007/978-3-319-31879-0
isbn_softcover978-3-319-81141-3
isbn_ebook978-3-319-31879-0Series ISSN 0254-1971 Series E-ISSN 2309-3706
issn_series 0254-1971
copyrightCISM International Centre for Mechanical Sciences 2016
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The Absolute Nodal Coordinate Formulation,h finite elements that circumvent severe issues like Poisson or shear locking. The performance of these elements is evaluated and a detailed assessment comprising the convergence order, the number of iterations, and Jacobian updates for large deformation benchmark problems is provided.
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High Frequency Dissipative Integration Schemes for Linear and Nonlinear Elastodynamics,hese include spectral, energy, and backward error analyses. For the nonlinear case, additionally, we study the preservation of conservation laws and the approximation of relative equilibria. The chapter should provide a general overview of dissipative methods, their issues, and the tools available for their formulation and analysis.
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Book 2016models for beams and shells. It also deals with the newlyemerging class of variational integrators as well as Lie-group integrators. Itdiscusses two alternative approaches to the discretization in space ofnonlinear beams and shells. Firstly, geometrically exact formulations, whichare typically used
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978-3-319-81141-3CISM International Centre for Mechanical Sciences 2016
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