The use of the reciprocals of positive and negative inertial functions in asymptotic modelling

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dc.contributor.authorWilliams, F.W.
dc.contributor.authorIlanko, Sinniah
dc.date.accessioned2014-01-15T22:18:25Z
dc.date.available2014-01-15T22:18:25Z
dc.date.copyright2006-06-08
dc.date.issued2006
dc.description.abstractThis paper shows how the recently introduced concept of positive and negative inertial functions in asymptotic modelling may be used effectively. Noting an almost linear variation of the natural frequency over a wide range of values of the reciprocal of the inertial parameter, the results presented show that both the natural frequencies of constrained systems can be calculated accurately using only moderately large artificial inertial parameters, e.g. which are only about 10 times that of the system mass and also that values about a million times more than this do not precipitate ill-conditioning when using 16 figure computer accuracy. This helps to minimize the chances of numerical problems occurring due to the limitation of machine precision.en_NZ
dc.identifier.citationWilliams, F. W., & Ilanko, S. (2006). The use of the reciprocals of positive and negative inertial functions in asymptotic modelling. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 462(2070), 1909-1915.en_NZ
dc.identifier.doi10.1098/rspa.2005.1643en_NZ
dc.identifier.urihttps://hdl.handle.net/10289/8397
dc.language.isoenen_NZ
dc.publisherRoyal Society Publishingen_NZ
dc.relation.isPartOfRoyal Society of London. Proceedings. Mathematical, Physical and Engineering Sciencesen_NZ
dc.relation.ispartofProceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
dc.relation.urihttp://rspa.royalsocietypublishing.org/content/462/2070/1909.fullen_NZ
dc.subjectinverse inertiaen_NZ
dc.subjectartificial inertiaen_NZ
dc.subjectasymptotic modellingen_NZ
dc.subjectill-conditioningen_NZ
dc.titleThe use of the reciprocals of positive and negative inertial functions in asymptotic modellingen_NZ
dc.typeJournal Articleen_NZ
pubs.begin-page1909en_NZ
pubs.elements-id34158
pubs.end-page1915en_NZ
pubs.issue2070en_NZ
pubs.volume462en_NZ
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