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

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Structure-preserving Integrators in Nonlinear Structural Dynamics and Flexible Multibody Dynamics978-3-319-31879-0Series ISSN 0254-1971 Series E-ISSN 2309-3706

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https://doi.org/10.1007/978-3-319-31879-0Absolute Nodel Coordinate Formulation; Energy-decaying Methods; Energy-momentum Method; Generalized-alp

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Structure-preserving Integrators in Nonlinear Structural Dynamics and Flexible Multibody Dynamics

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A Lie Algebra Approach to Lie Group Time Integration of Constrained Systems,red order reduction phenomenon in generalized-. time integration. After a tutorial-like step-by-step introduction to the generalized-. Lie group integrator, we investigate its convergence behaviour and develop a novel initialization scheme to achieve second-order accuracy in the application to const

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A Brief Introduction to Variational Integrators,screte approximations to the exact trajectory of a mechanical system on both the configuration space and the phase space. The approximation properties and the geometric characteristics of the resulting discrete trajectories are explained. Finally, we apply the variational methodology to construct sy

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Book 2016lgebraic 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

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0254-1971 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 th978-3-319-81141-3978-3-319-31879-0Series ISSN 0254-1971 Series E-ISSN 2309-3706