Multiple Impacts in Dissipative Granular C...

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Sprache: Englisch

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Beschreibung

The extension of collision models for single impacts between two bodies, to the case of multiple impacts (which take place when several collisions occur at the same time in a multibody system) is a challenge in Solid Mechanics, due to the complexity of such phenomena, even in the frictionless case. This monograph aims at presenting the main multiple collision rules proposed in the literature. Such collisions typically occur in granular materials, the simplest of which are made of chains of aligned balls. These chains are used throughout the book to analyze various multiple impact rules which extend the classical Newton (kinematic restitution), Poisson (kinetic restitution) and Darboux-Keller (energetic or kinetic restitution) approaches for impact modelling. The shock dynamics in various types of chains of aligned balls (monodisperse, tapered, decorated, stepped chains) is carefully studied and shown to depend on several parameters: restitution coefficients, contact stiffness ratios, elasticity coefficients (linear or nonlinear force/ indentation relation), and kinetic angles (that depend on the mass ratios). The dissipation and the dispersion of kinetic energy during a multiple impact are mandatory modelling, and are quantified with suitable indices. Particular attention is paid to the ability of the presented laws to correctly predict the wave effects in the chains. Comparisons between many numerical and experimental results are shown, as well as comparisons between four different impact laws in terms of their respective abilities to correctly model dissipation and dispersion of energy.

Zusammenfassung

Presents generalities about multiple impacts incl. definition, discrepancy with respect to single impacts, various classes of models for impacts, etc

Emphasis on granular chains of aligned balls, which is a topic of interest for both mechanicians and physicists working on granular matter, and more generally to anyone interested in complex impacts phenomena

Includes an experimental validation of the LZB model and wave propagation in granular chains

Inhaltsverzeichnis

Introduction.- Multiple impacts in in granular chains.- Rigid-body multiple impact laws.- LZB multiple impact model.- Analysis and validation of the LZB model.

Details

Erscheinungsjahr:	2013
Fachbereich:	Fertigungstechnik
Genre:	Mathematik , Medizin , Naturwissenschaften , Technik
Rubrik:	Naturwissenschaften & Technik
Medium:	Buch
Inhalt:	xx 234 S.
ISBN-13:	9783642392979
ISBN-10:	3642392970
Sprache:	Englisch
Einband:	Gebunden
Autor:	Brogliato, Bernard Nguyen, Ngoc Son
Hersteller:	Springer-Verlag GmbH Springer Berlin Heidelberg
Verantwortliche Person für die EU:	Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com
Maße:	241 x 160 x 19 mm
Von/Mit:	Bernard Brogliato (u. a.)
Erscheinungsdatum:	18.07.2013
Gewicht:	0,553 kg