Matches in SemOpenAlex for { <https://semopenalex.org/work/W2028180816> ?p ?o ?g. }
Showing items 1 to 78 of
78
with 100 items per page.
- W2028180816 endingPage "812" @default.
- W2028180816 startingPage "812" @default.
- W2028180816 abstract "This paper is concerned with the vibration analysis of spherical shells closed at one pole and open at the other by means of the linear classical bending theory of shells. Frequency equations are derived in terms of Legendre functions with complex indices, and for axisymmetric vibration the natural frequencies and mode shapes are deduced for opening angles ranging from a shallow to a closed spherical shell. It is found that for all opening angles the frequency spectrum consists of two coupled infinite sets of modes that can be labeled as bending (or flexural) and membrane modes. This distinction is made on the basis of the comparison of the strain energies due to bending and stretching of each mode. It is also found that the membrane modes are practically independent of thickness whereas the bending modes vary with thickness. When the opening angle is large and the shell may be considered shallow, only then are the modes distinguished by predominantly large transverse or longitudinal displacements, which were investigated recently for shallow spherical shells by Kalnins [in Proc. 4th U. S. Congr. Appl. Mech. (1963)]. Previous analyses of axisymmetric vibration of spherical shells by Lamb, Love, and more recently by Baker [_J. Acoust. Soc. Am. 33, 1749 (1961)] with the use of membrane theory have shown that one of the two infinite sets of modes is spaced within a finite interval of the frequency spectrum. It is shown that this set of modes is a degenerate case of bending modes, and, if deduced by means of membrane theory, it is applicable only when the thickness of the shell is zero. When the bending theory is employed, then the frequency interval for this set of modes extends to infinity for every value of thickness that is greater than zero. [This work has been supported by a grant from the National Science Foundation.]" @default.
- W2028180816 created "2016-06-24" @default.
- W2028180816 creator A5026260955 @default.
- W2028180816 date "1963-05-01" @default.
- W2028180816 modified "2023-10-16" @default.
- W2028180816 title "Effect of Bending on Vibrations of Spherical Shells" @default.
- W2028180816 doi "https://doi.org/10.1121/1.2142583" @default.
- W2028180816 hasPublicationYear "1963" @default.
- W2028180816 type Work @default.
- W2028180816 sameAs 2028180816 @default.
- W2028180816 citedByCount "14" @default.
- W2028180816 countsByYear W20281808162014 @default.
- W2028180816 countsByYear W20281808162017 @default.
- W2028180816 countsByYear W20281808162018 @default.
- W2028180816 countsByYear W20281808162019 @default.
- W2028180816 crossrefType "journal-article" @default.
- W2028180816 hasAuthorship W2028180816A5026260955 @default.
- W2028180816 hasConcept C108280814 @default.
- W2028180816 hasConcept C111458787 @default.
- W2028180816 hasConcept C121332964 @default.
- W2028180816 hasConcept C128172907 @default.
- W2028180816 hasConcept C159985019 @default.
- W2028180816 hasConcept C192562407 @default.
- W2028180816 hasConcept C198394728 @default.
- W2028180816 hasConcept C24890656 @default.
- W2028180816 hasConcept C2524010 @default.
- W2028180816 hasConcept C2781052500 @default.
- W2028180816 hasConcept C32758168 @default.
- W2028180816 hasConcept C33026886 @default.
- W2028180816 hasConcept C33923547 @default.
- W2028180816 hasConcept C5475335 @default.
- W2028180816 hasConcept C57879066 @default.
- W2028180816 hasConcept C62520636 @default.
- W2028180816 hasConcept C72319582 @default.
- W2028180816 hasConcept C74650414 @default.
- W2028180816 hasConcept C87210426 @default.
- W2028180816 hasConcept C97355855 @default.
- W2028180816 hasConceptScore W2028180816C108280814 @default.
- W2028180816 hasConceptScore W2028180816C111458787 @default.
- W2028180816 hasConceptScore W2028180816C121332964 @default.
- W2028180816 hasConceptScore W2028180816C128172907 @default.
- W2028180816 hasConceptScore W2028180816C159985019 @default.
- W2028180816 hasConceptScore W2028180816C192562407 @default.
- W2028180816 hasConceptScore W2028180816C198394728 @default.
- W2028180816 hasConceptScore W2028180816C24890656 @default.
- W2028180816 hasConceptScore W2028180816C2524010 @default.
- W2028180816 hasConceptScore W2028180816C2781052500 @default.
- W2028180816 hasConceptScore W2028180816C32758168 @default.
- W2028180816 hasConceptScore W2028180816C33026886 @default.
- W2028180816 hasConceptScore W2028180816C33923547 @default.
- W2028180816 hasConceptScore W2028180816C5475335 @default.
- W2028180816 hasConceptScore W2028180816C57879066 @default.
- W2028180816 hasConceptScore W2028180816C62520636 @default.
- W2028180816 hasConceptScore W2028180816C72319582 @default.
- W2028180816 hasConceptScore W2028180816C74650414 @default.
- W2028180816 hasConceptScore W2028180816C87210426 @default.
- W2028180816 hasConceptScore W2028180816C97355855 @default.
- W2028180816 hasIssue "5_Supplement" @default.
- W2028180816 hasLocation W20281808161 @default.
- W2028180816 hasOpenAccess W2028180816 @default.
- W2028180816 hasPrimaryLocation W20281808161 @default.
- W2028180816 hasRelatedWork W2028180816 @default.
- W2028180816 hasRelatedWork W2034180552 @default.
- W2028180816 hasRelatedWork W2067004104 @default.
- W2028180816 hasRelatedWork W2074218318 @default.
- W2028180816 hasRelatedWork W2084601241 @default.
- W2028180816 hasRelatedWork W2085686006 @default.
- W2028180816 hasRelatedWork W2087551959 @default.
- W2028180816 hasRelatedWork W2089513188 @default.
- W2028180816 hasRelatedWork W4283748385 @default.
- W2028180816 hasRelatedWork W646353518 @default.
- W2028180816 hasVolume "35" @default.
- W2028180816 isParatext "false" @default.
- W2028180816 isRetracted "false" @default.
- W2028180816 magId "2028180816" @default.
- W2028180816 workType "article" @default.