Random vibration mitigation of beams via tuned mass dampers with spring inertia effects

Failla, Giuseppe; Paola, Mario Di; Pirrotta, Antonina; Burlon, Andrea; Dunn, Iain Peter

doi:10.1007/s11012-019-00983-8

Cited by 12 publications

(6 citation statements)

References 40 publications

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“…This allowed the accuracy of the numerical method proposed in this paper to be discussed without presenting an extensive new series of numerical analyses. Studies conducted by Failla et al [33,36,37,44], Di Lorenzo et al [34,35], and Adam et al [12] confirmed that the method proposed in this paper is valid by providing exact solutions. When compared to the classical mathematical method, it should be noted that as all mathematical methods are an approximation, so when "exact solutions" are discussed, this term is in reference to the classical solution.…”

Section: Validation Of the Proposed Methodssupporting

confidence: 70%

“…To further attest to the validity of the proposed method, a number of other studies have applied the proposed method, namely [12,33,36,37,39,44,46]; these papers have shown the proposed method's formulation along with results of the dynamic response under various types of forcing actions.…”

Section: Validation Of the Proposed Methodsmentioning

confidence: 99%

“…Considering the theory of separable variable, this can also take the following form in the time domain for an undamped system, which can be readily generalized for damped one [37,44]:…”

Section: Poissonian White Noise Processesmentioning

confidence: 99%

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A Novel Solution to Find the Dynamic Response of an Euler–Bernoulli Beam Fitted with Intraspan TMDs under Poisson Type Loading

et al. 2020

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This contribution considers a virtual experiment on the vibrational response of rail and road bridges equipped with smart devices in the form of damping elements to mitigate vibrations. The internal damping of the bridge is considered a discontinuity that contain a dashpot. Exact complex eigenvalues and eigenfunctions are derived from a characteristic equation built as the determinant of a 4 × 4 matrix; this is accomplished through the use of the theory of generalized functions to find the response variables at the positions of the damping elements. To relate this to real world applications, the response of a bridge under Poisson type white noise is evaluated; this is similar to traffic loading that would be seen in a bridge’s service life. The contribution also discusses the importance of smart damping and dampers to sustainability efforts through the reduction of required materials, and it discusses the role played by robust mathematical modelling in the design phase.

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Section: Validation Of the Proposed Methodssupporting

confidence: 70%

Section: Validation Of the Proposed Methodsmentioning

confidence: 99%

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A Novel Solution to Find the Dynamic Response of an Euler–Bernoulli Beam Fitted with Intraspan TMDs under Poisson Type Loading

et al. 2020

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“…When the system excitation deviates significantly from the Gaussian distribution, the non-Gaussian characteristics of vibration must be accurately simulated [12]. Because of the extreme response of the system, especially sensitive to the high peak excitation of the load and the degree to which the response deviates from the Gaussian distribution, it will seriously affect the accumulation speed of system vibration fatigue damage [13]. The ARMA method is based on linear difference equations and simple calculation, but it cannot be displayed on irregular intervals; it has the characteristics of extremely large-amplitude pulse signals; therefore, it is not completely suitable for simulating non-Gaussian random time series [14].…”

Section: Introductionmentioning

confidence: 99%

Research on Numerical Simulation Method of Nonstationary Random Vibration Signal Sensor in Railway Transportation

Zhang¹,

Zhang²,

et al. 2022

Journal of Sensors

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During railway transportation, due to various factors such as road conditions and operating conditions and produced vibrations and shocks, this kind of vibration environment may cause fatigue damage to on-board equipment and transported goods. The authors propose a research on the numerical simulation method of the nonstationary random vibration signal sensor of railway transportation; first, they establish the mathematical model of the railway nonstationary random vibration signal sensor and then introduce the method of reconstructing the railway nonstationary random vibration signal sensor. For railway nonstationary non-Gaussian random vibration reconstruction signal, compare the time-domain characteristics of the sampled signal, and for railway nonstationary non-Gaussian random vibration reconstruction signal, compare the frequency domain characteristics of the sampled signal. The results show that the relative error of the RMSM function is within 6%, the relative error of the sliding bias function is within 10%, and the relative error of the sliding kurtosis function is within 8%. The energy distribution of the edge Hilbert amplitude spectrum is very similar, with absolute error less than 6%. The energy fluctuations are similar in each band, with absolute error rates less than 4% in most bands. The method proposed in this article, suitable for reconstruction of railway nonstationary Gaussian random vibration and nonstationary non-Gaussian vibration signal sensor, verifies the effectiveness and feasibility of the signal reconstruction method. The model and signal reconstruction method proposed in this paper are applied to the railway nonstationary Gaussian and nonstationary non-Gaussian random vibration sampling signals.

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“…The GFA has been extensively studied. Most recently on beams with various in-span supports and masses [17], on discontinuous layered elastically bonded beams [18], on plane structures with mass-spring subsystems and rotational joints [19] and on beams including tuned mass dampers with spring inertia effects [20].…”

Section: Introductionmentioning

confidence: 99%

The Numerical Assembly Technique for arbitrary planar systems based on an alternative homogeneous solution

Krämer¹,

Gfrerer²

2022

Preprint

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The Numerical Assembly Technique is extended to investigate arbitrary planar frame structures with the focus on the computation of natural frequencies. This allows us to obtain highly accurate results without resorting to spatial discretization. To this end, we systematically introduce a frame structure as a set of nodes, beams, bearings, springs, and external loads and formulate the corresponding boundary and interface conditions. As the underlying homogeneous solution of the governing equations, we use a novel approach recently presented in the literature. This greatly improves the numerical stability and allows the stable computation of very high natural frequencies accurately. We show this numerically at two frame structures by investigation of the condition number of the system matrix and also by the use of variable precision arithmetic.

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Random vibration mitigation of beams via tuned mass dampers with spring inertia effects

Cited by 12 publications

References 40 publications

A Novel Solution to Find the Dynamic Response of an Euler–Bernoulli Beam Fitted with Intraspan TMDs under Poisson Type Loading

A Novel Solution to Find the Dynamic Response of an Euler–Bernoulli Beam Fitted with Intraspan TMDs under Poisson Type Loading

Research on Numerical Simulation Method of Nonstationary Random Vibration Signal Sensor in Railway Transportation

The Numerical Assembly Technique for arbitrary planar systems based on an alternative homogeneous solution

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