scholarly journals Dynamic analysis of 3-D beam elements including warping and shear deformation effects

2006 ◽  
Vol 43 (22-23) ◽  
pp. 6707-6726 ◽  
Author(s):  
E.J. Sapountzakis ◽  
V.G. Mokos
Keyword(s):  
Dynamic Analysis ◽  
Shear Deformation ◽  
Beam Elements

Comparison of Three-Dimensional Flexible Beam Elements for Dynamic Analysis: Classical Finite Element Formulation and Absolute Nodal Coordinate Formulation

2009 ◽  
Vol 5 (1) ◽  
Author(s):  
A. L. Schwab ◽  
J. P. Meijaard
Keyword(s):  
Dynamic Analysis ◽  
Absolute Nodal Coordinate Formulation ◽  
Three Dimensional ◽  
Flexible Beam ◽  
Element Formulation ◽  
Shear Locking ◽  
Elastic Line ◽  
Absolute Nodal Coordinate ◽  
Beam Elements ◽  
Bending Mode

Three formulations for a flexible spatial beam element for dynamic analysis are compared: a Timoshenko beam with large displacements and rotations, a fully parametrized element according to the absolute nodal coordinate formulation (ANCF), and an ANCF element based on an elastic line approach. In the last formulation, the shear locking of the antisymmetric bending mode is avoided by the application of either the two-field Hellinger–Reissner or the three-field Hu–Washizu variational principle. The comparison is made by means of linear static deflection and eigenfrequency analyses on stylized problems. It is shown that the ANCF fully parametrized element yields too large torsional and flexural rigidities, and shear locking effectively suppresses the antisymmetric bending mode. The presented ANCF formulation with the elastic line approach resolves most of these problems.

Node-dependent kinematic elements for the dynamic analysis of beams with piezo-patches

2018 ◽  
Vol 29 (16) ◽  
pp. 3333-3345 ◽  
Author(s):  
Enrico Zappino ◽  
Guohong Li ◽  
Erasmo Carrera
Keyword(s):  
Finite Element ◽  
Dynamic Analysis ◽  
Numerical Study ◽  
Short Circuit ◽  
Constitutive Relations ◽  
Beam Elements ◽  
Ideal Approach ◽  
Finite Element Node ◽  
Carrera Unified Formulation ◽  
Nodal Level

This article extends the use of one-dimensional elements with node-dependent kinematics to the dynamic analysis of beam structures with piezo-patches. Node-dependent kinematics allows the kinematic assumptions to be defined individually on each finite element node, leading to finite element models with variable nodal kinematics. Derived from Carrera unified formulation, node-dependent kinematics facilitates the mathematical refinement to an arbitrary order at any desirable region on the nodal level while keeping the compactness of the formulation. As an ideal approach to simulate structures with special local features, node-dependent kinematics has been employed to model piezo-patches in static cases. In this work, the application of node-dependent beam elements in dynamic problems is demonstrated. Node-dependent kinematics is applied to increase the numerical accuracy in the areas where the piezo-patches lie in through sufficiently refined models, while lower order assumptions are used elsewhere. The dissimilar constitutive relations of neighboring components are appropriately considered with layer-wise models. Both open- and short-circuit conditions are considered. The results are compared against those from literature. The numerical study shows that the adoption of node-dependent kinematics allows accurate results to be obtained at reduced computational costs.

Extended rotation-free plate and beam elements with shear deformation effects

2010 ◽  
Vol 83 (2) ◽  
pp. 196-227 ◽  
Author(s):  
Eugenio Oñate ◽  
Francisco Zárate
Keyword(s):  
Shear Deformation ◽  
Beam Elements
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