
On the finite element analysis of functionally graded sandwich curved beams via a new refined higher shear deformation theory
In the present paper, a new parabolic shear deformation beam theory is d...
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The natural frequencies of masonry beams
The present paper aims at analytically evaluating the natural frequencie...
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A fibre Smart Displacement Based (FSDB) beam element for the nonlinear analysis of R/C members
Beam finite elements for non linear plastic analysis of beamlike struct...
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Novel weak form quadrature elements for nonclassical higher order beam and plate theories
Based on Lagrange and Hermite interpolation two novel versions of weak f...
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A Numerical Analysis of a Microscale Piezoelectric Cantilever Beam: the Effect of Dimension Parameters on the Eigen Frequency
Eigen frequency is one of the most important system responses to be cons...
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A model updating procedure to enhance structural analysis in the FE code NOSAITACA
This paper describes the model updating procedure implemented in NOSAIT...
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Modelling of a Permanent Magnet Synchronous Machine Using Isogeometric Analysis
Isogeometric analysis (IGA) is used to simulate a permanent magnet synch...
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Vibration Analysis of Timoshenko Beams using Isogeometric Analysis
In this paper, the finite freeform beam element is formulated by the isogeometric approach based on the Timoshenko beam theory to investigate the free vibration behavior of the beams. The nonuniform rational Bsplines (NURBS) functions which define the geometry of the beam are used as the basis functions for the finite element analysis. In order to enrich the basis functions and to increase the accuracy of the solution fields, the h, p, and krefinement techniques are implemented. The geometry and curvature of the beams are modelled in a unique way based on NURBS. All the effects of the the shear deformation, and the rotary inertia are taken into consideration by the present isogeometric model. Results of the beams for nondimensional frequencies are compared with other available results in order to show the accuracy and efficiency of the present isogeometric approach. From numerical results, the present element can produce very accurate values of natural frequencies and the mode shapes due to exact definition of the geometry. With higher order basis functions, there is no shear locking phenomenon in very thin beam situations. Finally, the benchmark tests described in this study are provided as future reference solutions for Timoshenko beam vibration problem.
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