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Correction of node mapping distortions using universal serendipity elements in dynamical problems

Kucukarslan, Semih; Demir, Ali


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  <identifier identifierType="URL">https://aperta.ulakbim.gov.tr/record/18881</identifier>
  <creators>
    <creator>
      <creatorName>Kucukarslan, Semih</creatorName>
      <givenName>Semih</givenName>
      <familyName>Kucukarslan</familyName>
      <affiliation>Istanbul Tech Univ, Dept Civil Engn, TR-80626 Istanbul, Turkey</affiliation>
    </creator>
    <creator>
      <creatorName>Demir, Ali</creatorName>
      <givenName>Ali</givenName>
      <familyName>Demir</familyName>
      <affiliation>Celal Bayar Univ, Dept Civil Engn, Manisa, Turkey</affiliation>
    </creator>
  </creators>
  <titles>
    <title>Correction Of Node Mapping Distortions Using Universal Serendipity Elements In Dynamical Problems</title>
  </titles>
  <publisher>Aperta</publisher>
  <publicationYear>2011</publicationYear>
  <dates>
    <date dateType="Issued">2011-01-01</date>
  </dates>
  <resourceType resourceTypeGeneral="Text">Journal article</resourceType>
  <alternateIdentifiers>
    <alternateIdentifier alternateIdentifierType="url">https://aperta.ulakbim.gov.tr/record/18881</alternateIdentifier>
  </alternateIdentifiers>
  <relatedIdentifiers>
    <relatedIdentifier relatedIdentifierType="DOI" relationType="IsVersionOf">10.81043/aperta.18880</relatedIdentifier>
    <relatedIdentifier relatedIdentifierType="DOI" relationType="IsIdenticalTo">10.81043/aperta.18881</relatedIdentifier>
  </relatedIdentifiers>
  <rightsList>
    <rights rightsURI="http://www.opendefinition.org/licenses/cc-by">Creative Commons Attribution</rights>
    <rights rightsURI="info:eu-repo/semantics/openAccess">Open Access</rights>
  </rightsList>
  <descriptions>
    <description descriptionType="Abstract">In this paper, the use of universal serendipity elements (USE) to eliminate node mapping distortions for dynamic problem is presented. Rectangular shaped elements for USE are being introduced by using a flexible master element with an adjustable edge node location. The shape functions of the universal serendipity formulation are used to derive the mass and damping matrices for the dynamic analyses. These matrices eliminate the node mapping distortion errors that occurs incase of the standard shape function formulations. The verification of new formulation will be tested and the errors encountered in the standard formulation will be studied for a dynamically loaded deep cantilever.</description>
  </descriptions>
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