Matches in SemOpenAlex for { <https://semopenalex.org/work/W3139329344> ?p ?o ?g. }
Showing items 1 to 97 of
97
with 100 items per page.
- W3139329344 endingPage "1966" @default.
- W3139329344 startingPage "1955" @default.
- W3139329344 abstract "In this paper, a semi-analytical approach is provided for the modal density of periodic mediums based on the symplectic method. For two-dimensional periodic mediums with a plate component and one-dimensional periodic mediums with a beam component and truss component, the symplectic method is introduced to describe the conditions of continuity and periodicity of the unit cell. And then by virtue of the adjoint symplectic orthogonal relations, an eigenproblem is first established for the dispersion relation of the periodic mediums. The group velocity is then obtained semi-analytically by differentiating the eigenproblem with respect to frequency. Since the expressions of the kinematic and the kinetic variables of the unit cell involved in derivation processes are expressed in terms of symplectic analytical waves, the modal density of periodic mediums can be obtained with high efficiency and with high accuracy. Numerical examples including two-dimensional periodic mediums with a plate component and one-dimensional periodic mediums with a beam component and truss component are provided. The comparison of the present results with the results obtained from the finite element model confirms the effectiveness of the proposed method." @default.
- W3139329344 created "2021-03-29" @default.
- W3139329344 creator A5023014397 @default.
- W3139329344 creator A5032792899 @default.
- W3139329344 date "2021-03-01" @default.
- W3139329344 modified "2023-10-14" @default.
- W3139329344 title "A semi-analytical model for the modal density of periodic mediums based on the symplectic method" @default.
- W3139329344 cites W1963906506 @default.
- W3139329344 cites W1976038625 @default.
- W3139329344 cites W1983986406 @default.
- W3139329344 cites W1992070901 @default.
- W3139329344 cites W1996289501 @default.
- W3139329344 cites W2001290100 @default.
- W3139329344 cites W2004824474 @default.
- W3139329344 cites W2007601538 @default.
- W3139329344 cites W2011863593 @default.
- W3139329344 cites W2021022515 @default.
- W3139329344 cites W2022008470 @default.
- W3139329344 cites W2028944462 @default.
- W3139329344 cites W2033276070 @default.
- W3139329344 cites W2083364298 @default.
- W3139329344 cites W2086098690 @default.
- W3139329344 cites W2086725720 @default.
- W3139329344 cites W2134227365 @default.
- W3139329344 cites W2157506285 @default.
- W3139329344 cites W2327832109 @default.
- W3139329344 cites W2506214490 @default.
- W3139329344 cites W2588555035 @default.
- W3139329344 cites W2602077958 @default.
- W3139329344 cites W2783587549 @default.
- W3139329344 cites W2793065367 @default.
- W3139329344 cites W2922671462 @default.
- W3139329344 cites W2949654968 @default.
- W3139329344 cites W2973341531 @default.
- W3139329344 cites W2999831900 @default.
- W3139329344 cites W3010636623 @default.
- W3139329344 cites W3017077337 @default.
- W3139329344 cites W4239196344 @default.
- W3139329344 cites W841268311 @default.
- W3139329344 doi "https://doi.org/10.1121/10.0003800" @default.
- W3139329344 hasPubMedId "https://pubmed.ncbi.nlm.nih.gov/33765820" @default.
- W3139329344 hasPublicationYear "2021" @default.
- W3139329344 type Work @default.
- W3139329344 sameAs 3139329344 @default.
- W3139329344 citedByCount "2" @default.
- W3139329344 countsByYear W31393293442022 @default.
- W3139329344 countsByYear W31393293442023 @default.
- W3139329344 crossrefType "journal-article" @default.
- W3139329344 hasAuthorship W3139329344A5023014397 @default.
- W3139329344 hasAuthorship W3139329344A5032792899 @default.
- W3139329344 hasConcept C121332964 @default.
- W3139329344 hasConcept C127413603 @default.
- W3139329344 hasConcept C134306372 @default.
- W3139329344 hasConcept C168167062 @default.
- W3139329344 hasConcept C168619227 @default.
- W3139329344 hasConcept C173534245 @default.
- W3139329344 hasConcept C188027245 @default.
- W3139329344 hasConcept C192562407 @default.
- W3139329344 hasConcept C33923547 @default.
- W3139329344 hasConcept C62520636 @default.
- W3139329344 hasConcept C66938386 @default.
- W3139329344 hasConcept C71139939 @default.
- W3139329344 hasConceptScore W3139329344C121332964 @default.
- W3139329344 hasConceptScore W3139329344C127413603 @default.
- W3139329344 hasConceptScore W3139329344C134306372 @default.
- W3139329344 hasConceptScore W3139329344C168167062 @default.
- W3139329344 hasConceptScore W3139329344C168619227 @default.
- W3139329344 hasConceptScore W3139329344C173534245 @default.
- W3139329344 hasConceptScore W3139329344C188027245 @default.
- W3139329344 hasConceptScore W3139329344C192562407 @default.
- W3139329344 hasConceptScore W3139329344C33923547 @default.
- W3139329344 hasConceptScore W3139329344C62520636 @default.
- W3139329344 hasConceptScore W3139329344C66938386 @default.
- W3139329344 hasConceptScore W3139329344C71139939 @default.
- W3139329344 hasFunder F4320321001 @default.
- W3139329344 hasFunder F4320324173 @default.
- W3139329344 hasIssue "3" @default.
- W3139329344 hasLocation W31393293441 @default.
- W3139329344 hasOpenAccess W3139329344 @default.
- W3139329344 hasPrimaryLocation W31393293441 @default.
- W3139329344 hasRelatedWork W2009148714 @default.
- W3139329344 hasRelatedWork W2021791095 @default.
- W3139329344 hasRelatedWork W2022863061 @default.
- W3139329344 hasRelatedWork W2139391323 @default.
- W3139329344 hasRelatedWork W2152925048 @default.
- W3139329344 hasRelatedWork W2168478714 @default.
- W3139329344 hasRelatedWork W2963613140 @default.
- W3139329344 hasRelatedWork W2980231599 @default.
- W3139329344 hasRelatedWork W3108275052 @default.
- W3139329344 hasRelatedWork W4284968746 @default.
- W3139329344 hasVolume "149" @default.
- W3139329344 isParatext "false" @default.
- W3139329344 isRetracted "false" @default.
- W3139329344 magId "3139329344" @default.
- W3139329344 workType "article" @default.