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The proposed method is formulated by the Ritz procedure with a triplicate series of B-spline functions as amplitude displacement components.
The non-linear distributed-parameter model accounts for large amplitude displacement and the associated varying tension according to a general class of non-linear stress strain relationships.
From the amplitude displacement data, three-dimensional surface contour plots of the wave energy are generated to find out how the elastic energy interacts with the tight fatigue crack interfaces.
High-resolution images for the time-resolved ultrasonic field and time-averaged amplitude displacement are generated to understand the interaction of the wave with a surface-breaking fatigue crack.
Based on system control parameters and initial conditions, cable amplitude, displacement and tension responses are numerically assessed, thoroughly validating the analytically predicted solutions as regards the actual existence, the meaningful role and the predominating internal resonance of coexisting/competing dynamics.
The dynamic strain of a viscoelastic rod excited into longitudinal simple harmonic vibration, a constant amplitude displacement being maintained by a shaker at one end and a mass terminating the other end, is theoretically investigated in this paper.
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Surface treatment by anodisation leads to lower wear values, for small amplitude displacements, while for higher displacement amplitudes the wear volume was larger, for the case of room temperature and humidity.
Such an approach would be better suited to applications with large amplitude displacements such as those encountered in sail design or deployment of a parachute.
The redesign of the Simons' vibrissa stimulator provides larger amplitude displacements and lower controlling voltages more readily generated by equipment normally found in laboratories.
The nonlinear intrinsic equations of motion used here are geometrically exact and specific to beams exhibiting large amplitude displacements and rotations associated with small strains.
The duration of the large amplitude displacements was determined by the turbulence of the incident wind and reached 3 min during the more steady Easterly winds.
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