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Investigation of Tympanic Membrane Influences on Middle-Ear Impedance Measurements and Simulations Read chapter Read first chapter

2020 | OriginalPaper | Chapter

On the Numerical Treatment of Nonlinear Flexible Multibody Systems with the Use of Quasi-Newton Methods

Authors : Radek Bulín, Michal Hajžman

Published in: Multibody Dynamics 2019

Publisher: Springer International Publishing

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Abstract

This paper deals with the use of quasi-Newton methods for dynamical simulations of nonlinear flexible multibody systems which are modelled using absolute nodal coordinate formulation (ANCF). Three ANCF beam elements are briefly reminded and implemented. The Newmark integration method for index 3 differential-algebraic equations is coupled with the iterative quasi-Newton method in order to reduce computational time. The described algorithm is implemented and tested on the benchmark problem of a flexible pendulum.

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previous chapter Implementation of Linear Springs and Dampers in a Newmark Second Order Direct Integration Method for 2D Multibody Dynamics
next chapter Interior-Point Solver for Non-smooth Multi-Body Dynamics with Finite Elements
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Metadata
Title
On the Numerical Treatment of Nonlinear Flexible Multibody Systems with the Use of Quasi-Newton Methods
Authors
Radek Bulín
Michal Hajžman
Copyright Year
2020
Book
Multibody Dynamics 2019

Print ISBN: 978-3-030-23131-6

Electronic ISBN: 978-3-030-23132-3

Copyright Year: 2020

DOI
https://doi.org/10.1007/978-3-030-23132-3_40

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