03545nam 2200589Ia 450 991029972040332120251116202210.09783642392986364239298910.1007/978-3-642-39298-6(OCoLC)852968069(MiFhGG)GVRL6WRV(CKB)2670000000403478(MiAaPQ)EBC1317794(MiFhGG)9783642392986(EXLCZ)99267000000040347820130605d2013 uy 0engurun|---uuuuatxtccrMultiple impacts in dissipative granular chains /Ngoc Son Nguyen, Bernard Brogliato1st ed. 2014.Heidelberg ;New York Springer20131 online resource (xix, 234 pages) illustrationsLecture notes in applied and computational mechanics ;72"ISSN: 1613-7736."9783642437755 3642437753 9783642392979 3642392970 Includes bibliographical references and index.Introduction -- Multiple impacts in in granular chains -- Rigid-body multiple impact laws -- LZB multiple impact model -- Analysis and validation of the LZB model.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.Lecture notes in applied and computational mechanics.Mechanics, AnalyticMultibody systemsStatistical mechanicsMechanics, Analytic.Multibody systems.Statistical mechanics.531.11Nguyễn Ngọc Sơn968468Brogliato Bernard1963-62758MiAaPQMiAaPQMiAaPQBOOK9910299720403321Multiple impacts in dissipative granular chains4187661UNINA00678nam a2200205 u 450099100441562930753620260126100438.0260126s1993 -uk r 001 0 eng 9780198144779Bibl. Dip.le Aggr. Studi Umanistici - Sez. Filologia Classicaita883Gera, Deborah Levine214675Xenophon's Cyropaedia:Style, Genre, and Literary Technique /Deborah Levine GeraOxford :Claendon press,1993xii, 348 ;22 cm.Oxford Classical MonographsXenophon991004415629307536Xenophon's Cyropaedia4530771UNISALENTO