Premium
Improved assumed‐stress hybrid shell element with drilling degrees of freedom for linear stress, buckling and free vibration analyses
Author(s) -
Rengarajan Govind,
Aminpour Mohammad A.,
Knight Norman F.
Publication year - 1995
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1620381108
Subject(s) - degrees of freedom (physics and chemistry) , quadrilateral , structural engineering , vibration , stress (linguistics) , stress resultants , buckling , finite element method , shell (structure) , bending moment , linear elasticity , stress field , engineering , physics , mechanical engineering , acoustics , linguistics , philosophy , quantum mechanics
An improved 4‐node quadrilateral assumed‐stress hybrid shell element with drilling degrees of freedom is presented. The formulation is based on Hellinger–Reissner variational principle and the shape functions are formulated directly for the 4‐node element. The element has 12 membrane degrees of freedom and 12 bending degrees of freedom. It has 9 independent stress parameters to describe the membrane stress resultant field and 13 independent stress parameters to describe the moment and transverse shear stress resultant field. The formulation encompasses linear stress, linear buckling and linear free vibration problems. The element is validated with standard test cases and is shown to be robust. Numerical results are presented for linear stress, buckling, and free vibration analyses.