Dynamics of flexible beams for multibody systems: a computational procedure
Computer Methods in Applied Mechanics and Engineering
Fully adherent fiber-matrix FEM formulation for geometrically nonlinear 2D solid analysis
Finite Elements in Analysis and Design
Global structural optimization considering expected consequences of failure and using ANN surrogates
Computers and Structures
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This study presents an alternative three-dimensional geometric non-linear frame formulation based on generalized unconstrained vector and positions to solve structures and mechanisms subjected to dynamic loading. The formulation is classified as total Lagrangian with exact kinematic description. The resulting element presents warping and non-constant transverse strain modes, which guarantees locking-free behavior for the adopted three-dimensional constitutive relation, Saint-Venant-Kirchhoff, for instance. The application of generalized vectors is an alternative to the use of finite rotations and rigid triad's formulae. Spherical and revolute joints are considered and selected dynamic and static examples are presented to demonstrate the accuracy and generality of the proposed technique.