LEADER 03545nam 2200589Ia 450 001 9910299720403321 005 20251116202210.0 010 $a9783642392986 010 $a3642392989 024 7 $a10.1007/978-3-642-39298-6 035 $a(OCoLC)852968069 035 $a(MiFhGG)GVRL6WRV 035 $a(CKB)2670000000403478 035 $a(MiAaPQ)EBC1317794 035 $a(MiFhGG)9783642392986 035 $a(EXLCZ)992670000000403478 100 $a20130605d2013 uy 0 101 0 $aeng 135 $aurun|---uuuua 181 $ctxt 182 $cc 183 $acr 200 10$aMultiple impacts in dissipative granular chains /$fNgoc Son Nguyen, Bernard Brogliato 205 $a1st ed. 2014. 210 $aHeidelberg ;$aNew York $cSpringer$d2013 215 $a1 online resource (xix, 234 pages) $cillustrations 225 1 $aLecture notes in applied and computational mechanics ;$v72 300 $a"ISSN: 1613-7736." 311 08$a9783642437755 311 08$a3642437753 311 08$a9783642392979 311 08$a3642392970 320 $aIncludes bibliographical references and index. 327 $aIntroduction -- Multiple impacts in in granular chains -- Rigid-body multiple impact laws -- LZB multiple impact model -- Analysis and validation of the LZB model. 330 $aThe extension of collision models for single impacts between two bodies, to the case of multiple impacts (which take place when several collisions occur at the same time in a multibody system) is a challenge in Solid Mechanics, due to the complexity of such phenomena, even in the frictionless case. This monograph aims at presenting the main multiple collision rules proposed in the literature. Such collisions typically occur in granular materials, the simplest of which are made of chains of aligned balls. These chains are used throughout the book to analyze various multiple impact rules which extend the classical Newton (kinematic restitution), Poisson (kinetic restitution) and Darboux-Keller (energetic or kinetic restitution) approaches for impact modelling. The shock dynamics in various types of chains of aligned balls (monodisperse, tapered, decorated, stepped chains) is carefully studied and shown to depend on several parameters: restitution coefficients, contact stiffness ratios, elasticity coefficients (linear or nonlinear force/ indentation relation), and kinetic angles (that depend on the mass ratios). The dissipation and the dispersion of kinetic energy during a multiple impact are mandatory modelling, and are quantified with suitable indices. Particular attention is paid to the ability of the presented laws to correctly predict the wave effects in the chains. Comparisons between many numerical and experimental results are shown, as well as comparisons between four different impact laws in terms of their respective abilities to correctly model dissipation and dispersion of energy. 410 0$aLecture notes in applied and computational mechanics. 606 $aMechanics, Analytic 606 $aMultibody systems 606 $aStatistical mechanics 615 0$aMechanics, Analytic. 615 0$aMultibody systems. 615 0$aStatistical mechanics. 676 $a531.11 700 $aNguye??n$b Ngo?c S?n$0968468 701 $aBrogliato$b Bernard$f1963-$062758 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910299720403321 996 $aMultiple impacts in dissipative granular chains$94187661 997 $aUNINA