A generalized geometrically nonlinear formulation with large rotations for finite elements with rotational degrees of freedoms

摘要: Abstract A generalized geometrically nonlinear formulation using total Lagrangian approach is presented for the finite elements with translational as well rotational degrees of freedoms. An important aspect here that restriction on magnitude nodal rotations eliminated by retaining true rotation terms in definition element displacement field and consistent derivation properties based this field. The general steps are applicable to any specific forms axisymmetric shells, two-dimensional isoparametric beams, curved transition solid-shell can be easily derived considering explicit at hand. have already been tested applied various two- three-dimensional elements, results some which here. Currently it being beam elements.