Frequency domain-based analysis of floor vibrations using the dynamic stiffness matrix method

Guo, Tong; Cao, Ziping; Zhang, Zhiqiang; Li, Aiqun

doi:10.1177/1077546318795931

Cited by 11 publications

(5 citation statements)

References 21 publications

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“…For industrial floors with a fundamental natural frequency not higher than 10 Hz, the velocity peak is limited to a maximum of 20 mm/s for short-term vibrations, see Figure 4. Depending on the detailing of joists, girders, and slab, in this regard, the structural behavior of a given floor takes the form of a variably stiffened plate [33][34][35][36]. When the dynamic behavior of the floor in Figure 3 is mostly governed by a 'joist panel model' vibration (i.e., with a fundamental natural frequency that is close to the frequency of the joists in bending about their major axis), Equation (3) can be taken into account for preliminary estimates, thus operating on a b eff × L y equivalent module.…”

Section: Reference Design Stantardsmentioning

confidence: 99%

Efficiency of Coupled Experimental–Numerical Predictive Analyses for Inter-Story Floors Under Non-Isolated Machine-Induced Vibrations

2020

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Machine-induced vibrations represent, for several reasons, a crucial design issue for industrial buildings. At the early design stage, special attention is thus required for the static and dynamic performance assessment of the load-bearing members, given that they should optimally withstand ordinary design loads but also potentially severe machinery operations. The knowledge and reliable description of the input vibration source is a key step, similarly to a reliable description of the structural system, to verify. However, such a kind of detailing is often unavailable and results in a series of simplified calculation assumptions. In this paper, a case-study eyewear factory built in 2019 is investigated. Its layout takes the form of a two-story, two-span (2 × 14.6 m) precast concrete frame (poor customer/designer communication on the final equipment resulted in various non-isolated computer numerical control (CNC) vertical machines mounted on the inter-story floor, that started to suffer from pronounced resonance issues. Following past experience, this paper investigates the validity of a coupled experimental–numerical method that could be used for efficient assessment predictive studies. Based on on-site experiments with Micro Electro-Mechanical Systems (MEMS) accelerometers mounted on the floor and on the machine (spindle included), the most unfavorable machine-induced vibration sources and operational conditions are first characterized. The experimental outcomes are thus used to derive a synthetized signal that is integrated in efficient one-bay finite element (FE) numerical model of the floor, in which the machine–structure interaction can be taken into account. The predictability of marked resonance issues is thus emphasized, with a focus on potential and possible limits of FE methods characterized by an increasing level of detailing and computational cost.

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Section: Reference Design Stantardsmentioning

confidence: 99%

Efficiency of Coupled Experimental–Numerical Predictive Analyses for Inter-Story Floors Under Non-Isolated Machine-Induced Vibrations

2020

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“…In previous literature, there are mainly two types of load models, i.e. frequency domain models [18] and time-domain models. As time-domain models are more common for simulations, and due to their simplicity for programming implementation in ANSYS software, a time-domain force model by Sedlacek et al [36] was selected for this study.…”

Section: Human-induced Dynamic Loadsmentioning

confidence: 99%

Simulations of human-induced floor vibrations considering walking overlap

et al. 2019

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Floor vibration induced by human activities has become an important concern to both designers and developers, especially for modern structures designed with larger spans and lower weights. However, there is currently no systematic approach in codes of practices to assessing floor vibration, and the load models induced by human walking are usually oversimplified by ignoring overlapping between successive footfalls. This paper addresses those shortcomings by conducting a series of finite element simulations of three slabs with different thicknesses subjected to dynamic loads induced by human walking activities. A total of six load models ranging from the most realistic to the most simplified were used for the simulations. The simulation results show that the overlapping time between successive footfalls has a significant impact on human-induced vibration for floors with thicknesses of 100-200 mm. The results also indicate that the critical walking frequency should be shifted to a higher value than the resonant frequency, to allow for the humaninduced load increasing with walking frequency.

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“…On the basis of the impedance theory and the dynamic stiffness matrix method, several analytical models which could predict vibration responses in frequency domain were developed. 16,17 where q is the attenuation coefficient in the vertical direction and q takes 0.4.…”

Section: Introductionmentioning

confidence: 99%

The transmission characteristics and influence prediction of impulsive vibration caused by a solid metal ball impact in buildings

Guo

Lin

2022

Journal of Low Frequency Noise, Vibration and Active Control

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The impulsive vibration induced by human running and jumping, object falling, striking during decoration, etc., significantly disturbs the learning, work, and life of people through building structure transmission. To study the influence of impulsive vibration in buildings, a vacant frame building was selected as a tested building. The vibration at each floor besides hitting spot would be measured when a solid metal ball falling freely hit the first floor of this building. The vibration response at each floor caused by the excitation above was simulated through a finite element method. The parameters of the simulation model were optimized according to measured results. Furthermore, the influence of building structure, the total amount of stories, and slab dimension on the transmission of vibration from 1 Hz to 80 Hz which can be perceived by human bodies was quantitatively studied. Results showed that the vertical weighted vibration acceleration level at each floor linearly decreased with the increase of the logarithm of the distance between each floor and the hitting spot. A prediction model of vertical weighted vibration acceleration level from 1 Hz to 80 Hz induced by the impulsive vibration in buildings was developed according to simulation results. The corrections relating to the number of story, building structure, slab span, slab length-to-width ratio, and slab thickness were respectively introduced in the model which can predict the vertical weighted vibration acceleration level at each floor above the hitting spot. The results of this study can provide a basis for the prediction and control of impulsive vibration caused by an impact source with great stiffness in buildings.

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Frequency domain-based analysis of floor vibrations using the dynamic stiffness matrix method

Cited by 11 publications

References 21 publications

Efficiency of Coupled Experimental–Numerical Predictive Analyses for Inter-Story Floors Under Non-Isolated Machine-Induced Vibrations

Efficiency of Coupled Experimental–Numerical Predictive Analyses for Inter-Story Floors Under Non-Isolated Machine-Induced Vibrations

Simulations of human-induced floor vibrations considering walking overlap

The transmission characteristics and influence prediction of impulsive vibration caused by a solid metal ball impact in buildings

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