Eine Plattform für die Wissenschaft: Bauingenieurwesen, Architektur und Urbanistik
Eine Plattform für die Wissenschaft: Bauingenieurwesen, Architektur und Urbanistik
Finite element formulation of a three-node spatially curved and twisted beam
Curved and twisted structural beam elements are used in many applications. Arches and hooks are examples of curved beams whereas turbine blades and helicopter rotor blades are examples of twisted beams. These elements find wide range of applications from roof arches in a bus coach to panel stiffeners in an aircraft. A three-node curved and twisted beam element is developed for linear analysis of structures modeled with curved and pre-twisted beams. A set of governing equations consisting of kinematic relations is derived. The beam element has three rotational and three displacement degrees of freedom at each node. The differential equations of kinematics are solved exactly for linearly varying longitudinal strain, constant transverse shear strains, linearly varying twist, and quadratically varying curvature changes to obtain the description of rotation and displacement modes. These rotation and displacement modes are then used as the basis functions for development of the finite element model. Constitutive relations for the beam for the case of isotropic materials is given. The results of the present element are compared with theoretical results available in the literature. Due to compatible assumptions for rotations and displacements and exact representation of rigid body modes, the beam element is free from spurious modes and exhibits fast convergence to exact solutions.
Finite element formulation of a three-node spatially curved and twisted beam
Curved and twisted structural beam elements are used in many applications. Arches and hooks are examples of curved beams whereas turbine blades and helicopter rotor blades are examples of twisted beams. These elements find wide range of applications from roof arches in a bus coach to panel stiffeners in an aircraft. A three-node curved and twisted beam element is developed for linear analysis of structures modeled with curved and pre-twisted beams. A set of governing equations consisting of kinematic relations is derived. The beam element has three rotational and three displacement degrees of freedom at each node. The differential equations of kinematics are solved exactly for linearly varying longitudinal strain, constant transverse shear strains, linearly varying twist, and quadratically varying curvature changes to obtain the description of rotation and displacement modes. These rotation and displacement modes are then used as the basis functions for development of the finite element model. Constitutive relations for the beam for the case of isotropic materials is given. The results of the present element are compared with theoretical results available in the literature. Due to compatible assumptions for rotations and displacements and exact representation of rigid body modes, the beam element is free from spurious modes and exhibits fast convergence to exact solutions.
Finite element formulation of a three-node spatially curved and twisted beam
Finite-Elemente-Formulierung eines räumlich gewölbten und verwundenen Dreiknoten-Trägers
Aminpour, M.A. (Autor:in) / Padhye, U.V. (Autor:in)
1996
8 Seiten, 8 Bilder, 9 Tabellen, 19 Quellen
Aufsatz (Konferenz)
Englisch
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