Influence of Axial Loads on the Nonplanar Vibrations of Cantilever Beams

Carvalho, Eulher C.; Gonçalves, Paulo B.; Rega, Giuseppe; Prado, Zenón J. G. N. del

doi:10.1155/2013/160678

Cited by 7 publications

(3 citation statements)

References 6 publications

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“…In both cases, resonances are mitigated since the highest peak in the response spectrum is capped. The energy transfer to higher modes has been evidenced in structures with nonlinear attachment [11] or presenting geometrical symmetry and light nonlinearity (e.g., plates, shells, and cymbals) and when this symmetry is slightly broken [14,15]. A very good agreement has been found between computed and measured energy flow, even if the significance of this transfer is somehow hidden in the log graphs.…”

Section: Expected Effectsmentioning

confidence: 89%

“…Taut cables are good candidates to internal resonance since their natural modal distribution is harmonic ( th frequency = * 1st frequency) at least for the first ten modes. Internal resonances have been observed in other types of (geometrically) nonlinear system with symmetric section when the symmetry is broken [14,15]. In particular, the energy is then shown to be distributed among several modes even if only one of them is excited.…”

Section: Introductionmentioning

confidence: 97%

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Vibration Mitigation without Dissipative Devices: First Large-Scale Testing of a State Switched Inducer

Tirelli

2014

Shock and Vibration

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A new passive device for mitigating cable vibrations is proposed and its efficiency is assessed on 45-meter long taut cables through a series of free and forced vibration tests. It consists of a unilateral spring attached perpendicularly to the cable near the anchorage. Because of its ability to change the cable dynamic behaviour through intermittent activation, the device has been called state switched inducer (SSI). The cable behaviour is shown to be deeply modified by the SSI: the forced vibration response is anharmonicc and substantially reduced in amplitude whereas the free vibration decay is largely sped up through a beating phenomenon. The vibration mitigation effect is mainly due to the activation and coupling of various vibration modes, as evidenced in the response spectra of the equipped cable. This first large-scale experimental campaign shows that the SSI outperforms classical passive devices, thus paving the way to a new kind of low-cost vibration mitigation systems which do not rely on dissipation.

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Section: Expected Effectsmentioning

confidence: 89%

Section: Introductionmentioning

confidence: 97%

Vibration Mitigation without Dissipative Devices: First Large-Scale Testing of a State Switched Inducer

Tirelli

2014

Shock and Vibration

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“…A four-dimensional phase space is investigated in [34] by presenting two-dimensional cross-sections basins for the oscillation and rotation of a double pendulum. Sections of six-dimensional basins of attraction, describing the nonlinear dynamic behaviour of the clamped-free beam subjected to a harmonic axial load, are carried out by Carvalho et al in [35]. The evolution of the basins of attraction in a four-dimension system, is used in the work of Goncalves et al [36] to perform a global stability analysis of a parametrically excited cylindrical shell.…”

Section: Literature Surveymentioning

confidence: 99%

An efficient parallel implementation of cell mapping methods for MDOF systems

Belardinelli

Lenci

2016

Nonlinear Dyn

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The long term behavior of dynamical system is usually analized by means of basins of attraction (BOA) and most often, in particular, with cell mapping methods that ensure a straightforward technique of approximation.Unfortunately the construction of BOA requires large resources, especially for higher-dimensional systems, both in term of computational time and memory space.In this paper, the implementation of cell mapping methods towards a distributed computing is undertaken; a new efficient parallel algorithm for the computation of large-scale basins of attraction is presented herein, also by addressing issues arising from the inner seriality related to the BOA construction. A cell-mapping core is thus wrapped in a management shell, in charge of the core administration, it permits to split over a multi-core environment the computing domain, by carrying out an efficient use of the distributed memory.The proposed approach makes use of a double-step algorithm in order to generate, first, the multidimensional BOA of the system and, then to evaluate arbitrary 2D Poincaré sections of the hypercube that stores the information.An analysis on a test system is performed by considering different dimensional grids; the effort of a parallel implementation towards medium and large clusters is balanced by a great results in terms of computational speed. The performances are strictly affected not only by the number of cores used to run the code, but in particular in the way they are instructed. To get the best from an implementation on a massive parallel architecture, the processes must be properly balanced between memory operations and numerical integrations.

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