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The application of nonlocal continuum mechanics allowing for the small scale effects to the vibrational analysis of CNTs has been suggested by many research workers including both beam and shell theories [29, 30, 31, 32, 33, 34, 35].
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Superconducting coil systems and the vacuum vessel are modeled with beam and shell elements with a realistic weight distribution.
The two formulations, corresponding to beam and shell discretization, are compared in terms of the optimum designs achieved.
A FE model of an automotive structure consists of beam and shell elements.
The main contribution of this work is to present the first attempt to model structures made of thin-walled closed beams and shells in terms of higher-order beam elements and shell elements and to establish the matching conditions between the dissimilar field variables of higher-order beam and shell elements along their interfaces.
The results obtained from beam and shell theories are compared, which leads to the determination of limits of tube parameters up to which beam theory gives valid results.
Although some progress has been made in developing higher-order beam elements that can accurately capture the sectional deformations, there is no investigation to develop higher-order beam and shell combined models useful to analyze various engineering structures.
Viscoelastic material damping has been assumed and system loss factors have been determined for various modes, by using the complex modulus approach in the beam and shell theories.
The constraint function can be described as Open image in new window Fig. 6 Red dots denote the control points of beam and shell varvec{u}_{a}^{C} = varvec{u}_{a}^{S}, (19 where the superscript C and S denote the displacement of the ath point of beam curve and surface respectively.
The CAD model of the stent was meshed with beam and shell elements to discretise the stent struts and the stent graft, respectively.
The building is modeled as a three-dimensional (3D) frame structure using frame elements for columns, longitudinal beams, and transverse beams and shell element for slabs.
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