A note on analytical solutions for vibrations of beams with an attached large mass

Manolis, George D.

doi:10.1007/s00419-022-02165-7

Cited by 5 publications

(1 citation statement)

References 10 publications

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“…It should be noted that the previously described one-dimensional model is a rough simplification real-world systems and it is used herein for demonstration of the shunted piezoelectric concept, since vibrating pylons with considerable point masses at the top, lead to more complicated models of structural dynamics [47]. Nevertheless, the numerical example is based on a frequency-domain simplified finite element model.…”

Section: Optimization Of the Shunt Systemmentioning

confidence: 99%

Passive Shunted Piezoelectric Systems for Vibration Control of Wind Turbine Towers: A Feasibility Study

Daraki,

Marakakis,

Alevras

et al. 2024

Energies

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Many countries have a variety of offshore and onshore wind turbines that face extreme aging challenges. Issues with harmful vibrations that must be minimized are addressed in this paper. A new method of wind turbine tower vibration control using piezoelectricity and shunt circuits is proposed in this paper. The passive vibration control method is shown to improve the tower’s structural performance under various environmental loads, like wind and seismic excitations. To examine the effectiveness of the suggested shunted piezoelectric system, a simple surrogate finite element model of a wind turbine tower is considered, and various investigations at the second eigenfrequency are carried out. An alternative way of modeling the studied structure is considered and the results demonstrate better performance. The advantages of setting up structural damping systems for decreasing tower vibrational loads and boosting their structural stability and resilience against extreme events are highlighted throughout this work.

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Section: Optimization Of the Shunt Systemmentioning

confidence: 99%

Passive Shunted Piezoelectric Systems for Vibration Control of Wind Turbine Towers: A Feasibility Study

Daraki,

Marakakis,

Alevras

et al. 2024

Energies

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Earthquake Response Spectra for Tall Steel Pylons with Attached Heavy Masses Located in Greece

Dadoulis

Manolis

2023

Journal of Earthquake Engineering

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On the Numerical Treatment of the Temporal Discontinuity Arising from a Time-Varying Point Mass Attachment on a Waveguide

Manolis

Dadoulis²

2023

Algorithms

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A vibrating pylon, modeled as a waveguide, with an attached point mass that is time-varying poses a numerically challenging problem regarding the most efficient way for eigenvalue extraction. The reason is three-fold, starting with a heavy mass attachment that modifies the original eigenvalue problem for the stand-alone pylon, plus the fact that the point attachment results in a Dirac delta function in the mixed-type boundary conditions, and finally the eigenvalue problem becomes time-dependent and must be solved for a sequence of time steps until the time interval of interests is covered. An additional complication is that the eigenvalues are now complex quantities. Following the formulation of the eigenvalue problem as a system of first-order, time-dependent matrix differential equations, two eigenvalue extraction methods are implemented and critically examined, namely the Laguerre and the QR algorithms. The aim of the analysis is to identify the most efficient technique for interpreting time signals registered at a given pylon as a means for detecting damage, a procedure which finds application in structural health monitoring of civil engineering infrastructure.

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A note on analytical solutions for vibrations of beams with an attached large mass

Cited by 5 publications

References 10 publications

Passive Shunted Piezoelectric Systems for Vibration Control of Wind Turbine Towers: A Feasibility Study

Passive Shunted Piezoelectric Systems for Vibration Control of Wind Turbine Towers: A Feasibility Study

Earthquake Response Spectra for Tall Steel Pylons with Attached Heavy Masses Located in Greece

On the Numerical Treatment of the Temporal Discontinuity Arising from a Time-Varying Point Mass Attachment on a Waveguide

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