Matches in SemOpenAlex for { <https://semopenalex.org/work/W2002107767> ?p ?o ?g. }
Showing items 1 to 88 of
88
with 100 items per page.
- W2002107767 abstract "A mathematical framework to analyze the cumulative behavior of higher order harmonic generation due to the interaction of two collimated waves in a weakly nonlinear hollow circular cylinder is formulated in this article. A total number of (N + 1)(N + 2)/2 − 3 nonlinear boundary problems are formulated due to the Nth order mode interactions in a cylinder with Kth order nonlinearity (N ≤ K). The cumulative criteria for the second order harmonics (second harmonics, sum and difference harmonics) due to the quadratic interactions of two waves are examined based on the nonlinear forcing terms in curvilinear coordinates. These criteria are formulated by a synchronism condition, the circumferential orders of the primary modes, as well as the nature of the primary and the secondary wave fields, i.e., torsional or longitudinal. A generalized analysis that provides insight into the cumulative nature of the Nth order harmonics by Nth order interaction of two collimated waves is conducted by considering a cylinder with strain energy function written as Murnaghan's power series. The nature of the cumulative Nth order harmonics can be determined by the parity of the number of times the primary waves interact, and their circumferential orders." @default.
- W2002107767 created "2016-06-24" @default.
- W2002107767 creator A5023363049 @default.
- W2002107767 creator A5066873379 @default.
- W2002107767 creator A5068354377 @default.
- W2002107767 date "2014-06-02" @default.
- W2002107767 modified "2023-09-23" @default.
- W2002107767 title "Higher order interaction of elastic waves in weakly nonlinear hollow circular cylinders. I. Analytical foundation" @default.
- W2002107767 cites W1977185308 @default.
- W2002107767 cites W1981385193 @default.
- W2002107767 cites W1997392718 @default.
- W2002107767 cites W1997473606 @default.
- W2002107767 cites W2000328919 @default.
- W2002107767 cites W2003520967 @default.
- W2002107767 cites W2018765765 @default.
- W2002107767 cites W2028083129 @default.
- W2002107767 cites W2028870706 @default.
- W2002107767 cites W2032432290 @default.
- W2002107767 cites W2045607687 @default.
- W2002107767 cites W2047924455 @default.
- W2002107767 cites W2051969096 @default.
- W2002107767 cites W2058800500 @default.
- W2002107767 cites W2063493598 @default.
- W2002107767 cites W2068070227 @default.
- W2002107767 cites W2072410155 @default.
- W2002107767 cites W2076639204 @default.
- W2002107767 cites W2091985655 @default.
- W2002107767 cites W2094600035 @default.
- W2002107767 cites W2094996888 @default.
- W2002107767 cites W2152168706 @default.
- W2002107767 cites W2166447298 @default.
- W2002107767 cites W4255939599 @default.
- W2002107767 doi "https://doi.org/10.1063/1.4879459" @default.
- W2002107767 hasPublicationYear "2014" @default.
- W2002107767 type Work @default.
- W2002107767 sameAs 2002107767 @default.
- W2002107767 citedByCount "20" @default.
- W2002107767 countsByYear W20021077672014 @default.
- W2002107767 countsByYear W20021077672015 @default.
- W2002107767 countsByYear W20021077672016 @default.
- W2002107767 countsByYear W20021077672017 @default.
- W2002107767 countsByYear W20021077672018 @default.
- W2002107767 countsByYear W20021077672019 @default.
- W2002107767 countsByYear W20021077672020 @default.
- W2002107767 countsByYear W20021077672021 @default.
- W2002107767 countsByYear W20021077672023 @default.
- W2002107767 crossrefType "journal-article" @default.
- W2002107767 hasAuthorship W2002107767A5023363049 @default.
- W2002107767 hasAuthorship W2002107767A5066873379 @default.
- W2002107767 hasAuthorship W2002107767A5068354377 @default.
- W2002107767 hasConcept C121332964 @default.
- W2002107767 hasConcept C134306372 @default.
- W2002107767 hasConcept C158622935 @default.
- W2002107767 hasConcept C165801399 @default.
- W2002107767 hasConcept C182310444 @default.
- W2002107767 hasConcept C188414643 @default.
- W2002107767 hasConcept C33923547 @default.
- W2002107767 hasConcept C62520636 @default.
- W2002107767 hasConcept C74650414 @default.
- W2002107767 hasConceptScore W2002107767C121332964 @default.
- W2002107767 hasConceptScore W2002107767C134306372 @default.
- W2002107767 hasConceptScore W2002107767C158622935 @default.
- W2002107767 hasConceptScore W2002107767C165801399 @default.
- W2002107767 hasConceptScore W2002107767C182310444 @default.
- W2002107767 hasConceptScore W2002107767C188414643 @default.
- W2002107767 hasConceptScore W2002107767C33923547 @default.
- W2002107767 hasConceptScore W2002107767C62520636 @default.
- W2002107767 hasConceptScore W2002107767C74650414 @default.
- W2002107767 hasFunder F4320306084 @default.
- W2002107767 hasIssue "21" @default.
- W2002107767 hasLocation W20021077671 @default.
- W2002107767 hasOpenAccess W2002107767 @default.
- W2002107767 hasPrimaryLocation W20021077671 @default.
- W2002107767 hasRelatedWork W1995708042 @default.
- W2002107767 hasRelatedWork W2003326561 @default.
- W2002107767 hasRelatedWork W2014559180 @default.
- W2002107767 hasRelatedWork W2038309000 @default.
- W2002107767 hasRelatedWork W2048389001 @default.
- W2002107767 hasRelatedWork W2078402172 @default.
- W2002107767 hasRelatedWork W2145733045 @default.
- W2002107767 hasRelatedWork W2345681405 @default.
- W2002107767 hasRelatedWork W2794336362 @default.
- W2002107767 hasRelatedWork W3033558109 @default.
- W2002107767 hasVolume "115" @default.
- W2002107767 isParatext "false" @default.
- W2002107767 isRetracted "false" @default.
- W2002107767 magId "2002107767" @default.
- W2002107767 workType "article" @default.