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The dynamics of multiple pair-wise collisions in a chain for designing optimal shock amplifiers

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dc.contributor.author Rodgers, Bryan
dc.contributor.author Goyal, Suresh
dc.contributor.author Kelly, Gerard
dc.contributor.author Sheehy, Michael
dc.date.accessioned 2018-01-19T12:07:34Z
dc.date.available 2018-01-19T12:07:34Z
dc.date.issued 2009
dc.identifier.uri http://hdl.handle.net/10344/6465
dc.description peer-reviewed en_US
dc.description.abstract The major focus of this work is to examine the dynamics of velocity amplification through pair-wise collisions between multiple masses in a chain, in order to develop useful machines. For instance low-cost machines based on this principle could be used for detailed, very-high acceleration shock-testing of MEMS devices. A theoretical basis for determining the number and mass of intermediate stages in such a velocity amplifier, based on simple rigid body mechanics, is proposed. The influence of mass ratios and the coefficient of restitution on the optimisation of the system is identified and investigated. In particular, two cases are examined: in the first, the velocity of the final mass in the chain (that would have the object under test mounted on it) is maximised by defining the ratio of adjacent masses according to a power law relationship; in the second, the energy transfer efficiency of the system is maximised by choosing the mass ratios such that all masses except the final mass come to rest following impact. Comparisons are drawn between both cases and the results are used in proposing design guidelines for optimal shock amplifiers. It is shown that for most practical systems, a shock amplifier with mass ratios based on a power law relationship is optimal and can easily yield velocity amplifications of a factor 5–8 times. A prototype shock testing machine that was made using above principles is briefly introduced. en_US
dc.language.iso eng en_US
dc.publisher Hindawi Publishing Corporation en_US
dc.relation.ispartofseries Shock and Vibration;16 (1), pp. 99-116
dc.relation.uri http://dx.doi.org/10.3233/SAV-2009-0467
dc.subject dynamics en_US
dc.subject multiple en_US
dc.subject pair-wise collisions en_US
dc.subject chain en_US
dc.subject designing en_US
dc.subject optimal en_US
dc.subject shock amplifiers en_US
dc.title The dynamics of multiple pair-wise collisions in a chain for designing optimal shock amplifiers en_US
dc.type info:eu-repo/semantics/article en_US
dc.type.supercollection all_ul_research en_US
dc.type.supercollection ul_published_reviewed en_US
dc.identifier.doi 10.3233/SAV-2009-0467
dc.contributor.sponsor SFI en_US
dc.contributor.sponsor Industrial Development Agency (IDA) Ireland en_US
dc.relation.projectid 03/CE3/I405 en_US
dc.rights.accessrights info:eu-repo/semantics/openAccess en_US


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