Finite element formulation for beams

A finite element model using a multi-fiber approach is proposed in this paper for the analysis of reinforced concrete (RC) members using fiber-reinforced polymer (FRP) reinforcements, with a specific focus on the effect of pure torsion. The proposed model is formulated using a displacement-based approach and a kinematic assumption involving a twonode Timoshenko beam.

14p viwalton 02-07-2024 1 1   Download

In the present paper, a 2D nonlinear beam element based on the geometrically exact formulation for large displacement theory of beams developed by Zienkiewicz [7] is formulated on the basis of the first-order shear deformation theory and the total Lagrangian method. The displacements of the element are described through the original (reference) configuration.

9p dathienlang1012 03-05-2024 3 0   Download

In study "Effects of different beam theories on dynamic response of BFGSW beams under a moving mass" effects of different beam theories on dynamic response of bidirectional functionally graded sandwich (BFGSW) beams under a moving mass are investigated in this paper. The core of the beams is homogeneous while their two faces are of three-phase bidirectional functionally graded material.

10p dathienlang1012 03-05-2024 2 0   Download

Part 1 of ebook "Aeroservoelasticity: Modeling and control" presents the following content: aeroservoelasticity; structural modeling; unsteady aerodynamic modeling; integral equation for linear compressible flow; subsonic kernel function and the doublet-lattice method;...

161p dieptieuung 14-07-2023 6 1   Download

In this paper, vibration of Timoshenko microbeams with an axial force in microelectromechanical systems (MEMS) is studied for the first time by using a nonlinear finite element procedure. Based on the von Karm´ an geometric nonlinearity and the modified couple stress theory (MCST), a beam element is formulated by employing hierarchical functions to interpolate the displacement field.

17p viwolverine 11-07-2023 7 2   Download

In this paper, the mechanical behavior of symmetric FGM sandwich beams where each component layer is made from different funtionally graded materials and conected to one another by shear connectors is carried out. The finite element formulations are constructed based on the first-order shear deformation theory (FSDT) of Timoshenko for beam and finite element method. The calculation program is coded in the MATLAB environment and compared the results with particular cases.

11p cothumenhmong11 05-05-2021 17 1   Download

This paper deals with a geometrically nonlinear finite element formulation for the analysis of torsional behaviour of RC members. Using the corotational framework, the formulation is developed for the inclusion of nonlinear geometry effects in a multi-fiber finite element beam model. The assumption of small strains but large displacements and rotations is adopted. The principle is an element-independent algorithm, where the element formulation is computed in a local reference frame which is uncoupled from the rigid body motions (translations and rotations) of the reference frame.

15p kequaidan6 11-07-2020 13 1   Download

A fuzzy finite element approach for static analysis of laterally loaded pile in multi-layer soil with uncertain properties is presented. The finite element (FE) formulation is established using a beam-on-two-parameter foundation model. Based on the developed FE model, uncertainty propagation of the soil parameters to the pile response is evaluated by mean of the α-cut strategy combined with a response surface based optimization technique.

9p vinobita2711 31-05-2019 23 1   Download

This paper presents a finite element formulation for investigating the free vibration of uniform Timoshenko beams resting on a Vinkler-type elastic foundation and prestressing by axial force.

12p thienthanquydu 21-10-2018 33 0   Download

A fuzzy finite-element method for analysis of laterally loaded pile in multilayer soil with uncertain properties is presented. The finite-element formulation is established using a beam-on-two-parameter foundation model. Uncertainty propagation of the soil parameters to the pile response is evaluated by a perturbation technique. This approach requires a few number of classical finite-element equations to be solved and provides reasonable results. A comparison with vertex method is made in a numerical example.

0p thienthanquydu 19-10-2018 35 0   Download

The dynamic behavior of nonuniform Euler-Bernoulli beams made of transversely functionally graded material under multiple moving forces is studied by the finite element method. The beam cross-section is assumed to vary in the width direction by two different types. A simple finite element formulation, accounting for variation of the material properties through the beam thickness and the shift in the physically neutral surface, is derived and employed in the study.

18p thienthanquydu 19-10-2018 33 1   Download

This paper presents a displacement - based finite element formulation for nonlinear analysis of steel - concrete composite planar frames subjected to combined action of gravity and lateral loads. A 6DOF super element is proposed for modelling composite beam, allowing for partial interaction between the steel beam and the concrete slab, semi - rigid nature of beam to column composite connection and material nonlinearity.

14p thienthanquydu 17-10-2018 40 0   Download

(bq) part 2 book "a first course in finite element analysis" has contents: approximations of trial solutions, weight functions and gauss quadrature for multidimensional problems; finite element formulation for multidimensional scalar field problems, finite element formulation for vector field problems – linear elasticity; finite element formulation for beams...and other contents.

177p bautroibinhyen18 23-02-2017 58 5   Download