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Regions of large-amplitude cable vibrations, induced by stochastic cable end displacements, are compared with those found from sinusoidal cable end displacements.
Also, an analytical expression is suggested for the strain energy of an ARB solely in terms of its end displacements.
Also a nonlinear expression is obtained for the strain energy of the flexure in terms of end displacements.
By employing the beam constraint model (BCM), closed-form expressions are derived for the end displacements of the beam in terms of the applied end loads.
The experimental study proposed in the present paper investigates the dependence of the fundamental frequency on the axial load in slender beams subjected to imposed axial end displacements.
Finite element modelling (FEM) and analysis (FEA) is used to determine in-plane and out-of-plane cable displacements induced by stochastic cable end displacements.
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The effects of embedded length, diameter of FRP bar and bond strength on the load-loaded end displacement are studied.
For the simplicity of presenting the analysis procedure, beams having zero end displacement are used in the discussion.
These results cover dispersion curves, eigenfrequencies and the corresponding displacement and stress distributions, as well as fix frequency motion due to prescribed end displacement or lateral distributed forces.
A theoretical electromechanical sensitivity of 3.5 μC m−2 was achieved for the cantilever free end displacement of several hundreds of nanometres.
At the clamped end, displacement and slope are both zero; at the free end, bending moment and shear are zero too.
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