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

Küçükarslan S., DEMİR A.

Structural Engineering and Mechanics, cilt.40, sa.2, ss.245-256, 2011 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 40 Sayı: 2
  • Basım Tarihi: 2011
  • Doi Numarası: 10.12989/sem.2011.40.2.245
  • Dergi Adı: Structural Engineering and Mechanics
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.245-256
  • Anahtar Kelimeler: Dynamic analysis, Finite element method, Node mapping distortion, Universal serendipity element (USE)
  • Manisa Celal Bayar Üniversitesi Adresli: Evet

Özet

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.