Transmission of Random Vibration

Crandall, Stephen H.; Mark, William D.

doi:10.1016/b978-1-4832-3259-1.50006-x

Cited by 38 publications

(49 citation statements)

References 2 publications

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“…The classical TMD technology (Brock, 1946; Crandall and Mark, 1963; Den Hartog, 1956; Ormondroye and Den Hartog, 1928; Thomson and Dahleh, 1988), which dissipates vibratory energy through a set of damper and spring connecting a small mass (secondary system) to the main (primary) structure, has been illustrated in Figure 1(a). The natural frequency of the attached secondary system which is a TMD needs to be very close to the dominant mode of the primary structure, and thus a large reduction in the dynamic responses of the primary structure around the natural frequency of this dominant mode can be achieved.…”

Section: Tmds and Their Modificationsmentioning

confidence: 99%

“…Because Den Hartog (1956) first proposed an optimal design approach of TMD for an undamped single-degree-of-freedom (SDOF) structure, many optimal design methods of TMD system have been developed to suppress the structural vibration induced by various types of excitation sources. Crandall and Mark (1963) adopted the random vibration theory to analyze a SDOF structure attached with a single TMD system under white noise base excitation.…”

Section: Optimally Designed Tmd Systemmentioning

confidence: 99%

“…They also presented a simplified TMD design based on the design of the TMD for the SDOF structure to attenuate a single mode of a MDOF structure. Chang (1993) utilized the methodology provided by Crandall and Mark (1963) to investigate the optimal TMD and TLCD design under random excitation.…”

Section: Optimally Designed Tmd Systemmentioning

confidence: 99%

“…Den Hartog (1956) introduced the min–max optimization for SDOF main structures (without damping) with the TMD subjected to harmonic loading. Crandall and Mark (1963) presented the SDOF main structures (without damping) with the TMD subjected to random excitation. Warburton (1982) has shown that although the optimum results were obtained, based on the harmonic loading and random excitation, are close, but it is optimum only for the related design objective.…”

Section: Optimally Designed Tmd Systemmentioning

confidence: 99%

“…The earliest research works on the optimal TMD design were presented by Ormondroye and Den Hartog (1928), Brock (1946), and Den Hartog (1956) for single-degree-of-freedom (SDOF) primary structures subjected to harmonic loadings and also by Crandall and Mark (1963) for random base excitations. Now, in civil engineering, the TMD system and/or its modifications have been successfully installed in slender skyscrapers, towers, and bridges, such as the John Hancock Tower (241 m) in Boston, the Citicorp Center (279 m) (Dupré, 1996) in New York, the Taipei 101 Tower (508 m) (Taipei-101.com.tw) in Taiwan, and the Millennium Bridge (Fitzpatrick et al, 2001) in London.…”

Section: Introductionmentioning

confidence: 99%

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Vibration suppression of structures using tuned mass damper technology: A state-of-the-art review

Yang

Sedaghati

Esmailzadeh

2021

Journal of Vibration and Control

132

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To date, considerable attention has been paid to the development of structural vibration suppression techniques. Among all vibration suppression devices and techniques, the tuned mass damper is one of the most promising technologies due to its mechanical simplicity, cost-effectiveness, and reliable operation. In this article, a critical review of the structural vibration suppression using tuned mass damper technology will be presented mainly focused on the following four categories: (1) tuned mass damper technology and its modifications, (2) tuned mass damper technology in discrete and continuous structures (mathematical modeling), (3) optimization procedure to obtain the optimally designed tuned mass damper system, and (4) active tuned mass damper and semi-active tuned mass damper with the practical realization of the tuned mass damper technologies.

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Section: Tmds and Their Modificationsmentioning

confidence: 99%

Section: Optimally Designed Tmd Systemmentioning

confidence: 99%

Section: Optimally Designed Tmd Systemmentioning

confidence: 99%

Section: Optimally Designed Tmd Systemmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Vibration suppression of structures using tuned mass damper technology: A state-of-the-art review

Yang

Sedaghati

Esmailzadeh

2021

Journal of Vibration and Control

132

View full text Add to dashboard Cite

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Random field calibration with data on irregular grid for regional analyses: A case study on the bare carrying capacity of bats in Africa

Mursel,

Conus,

Huang

et al. 2023

Ecology and Evolution

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Many applications in science and engineering involve data defined at specific geospatial locations, which are often modeled as random fields. The modeling of a proper correlation function is essential for the probabilistic calibration of the random fields, but traditional methods were developed with the assumption to have observations with evenly spaced data. Available methods dealing with irregularly spaced data generally require either interpolation or computationally expensive solutions. Instead, we propose a simple approach based on least square regression to estimate the autocorrelation function. We first tested our methodology on an artificially produced dataset to assess the performance of our method. The accuracy of the method and its robustness to the level of noise in the data indicate that it is suitable for use in realistic problems. In addition, the methodology was used on a major application, the modeling of animal species connected with zoonotic diseases. Understanding the population dynamics of reservoirs of zoonotic diseases, such as bats, is a crucial first step to predict and prevent potential spillover of deadly viruses like Ebola. Due to the limited data on bats across Africa, their density and migrations can only be studied with probabilistic numerical models based on samples of the ecological bare carrying capacity (). For this purpose, the bare carrying capacity was modeled as a random field and its statistics calibrated with the available data. The bare carrying capacity of bats was found to be denser in central Africa. This is because climatic and environmental conditions are more suitable for the survival of bats. The proposed methodology for random field calibration was shown to be a promising approach, which can cope with large gaps in data and with complex applications involving large geographical areas and high resolution.

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Cumulative power spectral density‐based damping estimation

Kim,

Hwang,

Kwon

et al. 2024

Earthq Engng Struct Dyn

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Damping is one of the critical factors in evaluating the performance of a structure under loads resulting from winds, waves, and earthquakes. Due to significant uncertainties associated with the damping mechanism and methods of its evaluation, its accurate estimation remains a challenging task. Therefore, many studies have focused on the development of damping estimation schemes. In this study, a simple yet effective scheme based on “Dynamics 101” for estimating damping in structures that draws upon attributes of the cumulative power spectral density (CPSD) function is proposed. The underlying principle is that the damping ratio can be estimated by comparing the computed CPSD of the modal response derived from measured data with the corresponding theoretical CPSD that is, defined by natural frequency and damping ratio. Unlike the jaggedness often observed in the power spectral density (PSD) that leads to uncertainty in damping estimates, the CPSD is characterized by its smoothness as it stems from the integration of the PSD. Theoretical characteristics of CPSD were utilized for extracting damping, and it was also extended to include non‐classically damped systems. Using numerically simulated data and full‐scale measurements, the validity and efficacy of the proposed scheme have been demonstrated. It is also demonstrated that this simplistic approach, requiring elementary knowledge of dynamics, yields results of the quality that match those of more advanced techniques. This offers an attractive scheme for practical applications with a promise of automation through a simple algorithm or a machine learning‐based environment.

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Transmission of Random Vibration

Cited by 38 publications

References 2 publications

Vibration suppression of structures using tuned mass damper technology: A state-of-the-art review

Vibration suppression of structures using tuned mass damper technology: A state-of-the-art review

Random field calibration with data on irregular grid for regional analyses: A case study on the bare carrying capacity of bats in Africa

Cumulative power spectral density‐based damping estimation

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