Matches in SemOpenAlex for { <https://semopenalex.org/work/W1982071062> ?p ?o ?g. }
Showing items 1 to 79 of
79
with 100 items per page.
- W1982071062 endingPage "513" @default.
- W1982071062 startingPage "504" @default.
- W1982071062 abstract "Abstract Soft impacting mechanical systems—where the impacting surface is cushioned with a spring–damper support—are common in engineering. Mathematically such systems come under the description of switching dynamical systems, where the dynamics toggle between two (or more) sets of differential equations, determined by switching conditions. It has been shown that the Poincare map of such a system would have a power of 1/2 (the so-called square-root singularity) if the vector fields at the two sides of the switching manifold differ, and a power of 3/2 if they are the same. These results were obtained by concentrating on the leading order terms in a Taylor expansion of the zero-time discontinuity map, and are true in the immediate neighbourhood of a grazing orbit. In this paper we investigate how the character of the two-dimensional map changes over a large parameter range as the system is driven from a non-impacting orbit to an impacting orbit. This study leads to vital conclusions regarding the character of the normal form of the map not only in the immediate vicinity of the grazing orbit, but also away from it, as dependent on the system parameters. We obtain these characteristics by experiment and by simulation." @default.
- W1982071062 created "2016-06-24" @default.
- W1982071062 creator A5024727666 @default.
- W1982071062 creator A5045192798 @default.
- W1982071062 creator A5048408738 @default.
- W1982071062 creator A5056495298 @default.
- W1982071062 creator A5074868206 @default.
- W1982071062 date "2008-07-01" @default.
- W1982071062 modified "2023-09-23" @default.
- W1982071062 title "The nature of the normal form map for soft impacting systems" @default.
- W1982071062 cites W155191008 @default.
- W1982071062 cites W1969191910 @default.
- W1982071062 cites W1971396077 @default.
- W1982071062 cites W1988848880 @default.
- W1982071062 cites W2004692994 @default.
- W1982071062 cites W2005988040 @default.
- W1982071062 cites W2011227277 @default.
- W1982071062 cites W2012069094 @default.
- W1982071062 cites W2015922184 @default.
- W1982071062 cites W2025470515 @default.
- W1982071062 cites W2030450697 @default.
- W1982071062 cites W2032713764 @default.
- W1982071062 cites W2051973676 @default.
- W1982071062 cites W2053979403 @default.
- W1982071062 cites W2059380896 @default.
- W1982071062 cites W2060587651 @default.
- W1982071062 cites W2065198486 @default.
- W1982071062 cites W2089879558 @default.
- W1982071062 cites W2094656677 @default.
- W1982071062 cites W2123268129 @default.
- W1982071062 cites W2137239416 @default.
- W1982071062 cites W2148764917 @default.
- W1982071062 cites W2159251357 @default.
- W1982071062 doi "https://doi.org/10.1016/j.ijnonlinmec.2008.04.001" @default.
- W1982071062 hasPublicationYear "2008" @default.
- W1982071062 type Work @default.
- W1982071062 sameAs 1982071062 @default.
- W1982071062 citedByCount "54" @default.
- W1982071062 countsByYear W19820710622012 @default.
- W1982071062 countsByYear W19820710622013 @default.
- W1982071062 countsByYear W19820710622014 @default.
- W1982071062 countsByYear W19820710622015 @default.
- W1982071062 countsByYear W19820710622016 @default.
- W1982071062 countsByYear W19820710622017 @default.
- W1982071062 countsByYear W19820710622018 @default.
- W1982071062 countsByYear W19820710622019 @default.
- W1982071062 countsByYear W19820710622020 @default.
- W1982071062 countsByYear W19820710622021 @default.
- W1982071062 countsByYear W19820710622022 @default.
- W1982071062 countsByYear W19820710622023 @default.
- W1982071062 crossrefType "journal-article" @default.
- W1982071062 hasAuthorship W1982071062A5024727666 @default.
- W1982071062 hasAuthorship W1982071062A5045192798 @default.
- W1982071062 hasAuthorship W1982071062A5048408738 @default.
- W1982071062 hasAuthorship W1982071062A5056495298 @default.
- W1982071062 hasAuthorship W1982071062A5074868206 @default.
- W1982071062 hasConcept C41008148 @default.
- W1982071062 hasConceptScore W1982071062C41008148 @default.
- W1982071062 hasIssue "6" @default.
- W1982071062 hasLocation W19820710621 @default.
- W1982071062 hasOpenAccess W1982071062 @default.
- W1982071062 hasPrimaryLocation W19820710621 @default.
- W1982071062 hasRelatedWork W2093578348 @default.
- W1982071062 hasRelatedWork W2350741829 @default.
- W1982071062 hasRelatedWork W2358668433 @default.
- W1982071062 hasRelatedWork W2376932109 @default.
- W1982071062 hasRelatedWork W2382290278 @default.
- W1982071062 hasRelatedWork W2390279801 @default.
- W1982071062 hasRelatedWork W2748952813 @default.
- W1982071062 hasRelatedWork W2766271392 @default.
- W1982071062 hasRelatedWork W2899084033 @default.
- W1982071062 hasRelatedWork W3004735627 @default.
- W1982071062 hasVolume "43" @default.
- W1982071062 isParatext "false" @default.
- W1982071062 isRetracted "false" @default.
- W1982071062 magId "1982071062" @default.
- W1982071062 workType "article" @default.