Vibration transmission through a frame typical of timber-framed buildings

Craik, R.J.M.; Galbrun, Laurent

doi:10.1016/j.jsv.2004.02.015

Cited by 17 publications

(11 citation statements)

References 6 publications

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“…3 When the modal overlap is sufficiently high, Davies and Wahab 4 show that reasonable predictions can be achieved with SEA even when the bending mode count is only one or two on each beam. Craik and Galbrun 5 showed that fluctuations in the coupling between bending waves on two beams can be estimated using the mobility of the receiving beam subsystem; however, this is only feasible for one wave type. Bending mode counts in constant percentage bandwidths increase with increasing frequency; however, they only start to become greater than unity at a frequency where longitudinal and/or torsional modes start to occur.…”

mentioning

confidence: 99%

Bending, longitudinal and torsional wave transmission on Euler-Bernoulli and Timoshenko beams with high propagation losses

Wang

Hopkins

2016

The Journal of the Acoustical Society of America

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Advanced Statistical Energy Analysis (ASEA) is used to predict vibration transmission across coupled beams which support multiple wave types up to high frequencies where Timoshenko theory is valid. Bending-longitudinal and bending-torsional models are considered for an L-junction and rectangular beam frame. Comparisons are made with measurements, Finite Element Methods (FEM) and Statistical Energy Analysis (SEA). When beams support at least two local modes for each wave type in a frequency band and the modal overlap factor is at least 0.1, measurements and FEM have relatively smooth curves. Agreement between measurements, FEM, and ASEA demonstrates that ASEA is able to predict high propagation losses which are not accounted for with SEA. These propagation losses tend to become more important at high frequencies with relatively high internal loss factors and can occur when there is more than one wave type. At such high frequencies, Timoshenko theory, rather than Euler-Bernoulli theory, is often required. Timoshenko theory is incorporated in ASEA and SEA using wave theory transmission coefficients derived assuming Euler-Bernoulli theory, but using Timoshenko group velocity when calculating coupling loss factors. The changeover between theories is appropriate above the frequency where there is a 26% difference between Euler-Bernoulli and Timoshenko group velocities.

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mentioning

confidence: 99%

Bending, longitudinal and torsional wave transmission on Euler-Bernoulli and Timoshenko beams with high propagation losses

Wang

Hopkins

2016

The Journal of the Acoustical Society of America

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“…Evaluation of vibration, vibration level difference, and acceleration level difference have been widely used in engineering structures. Different methods of spatially averaging vibration level differences have been applied to two lightweight building structures by Galbrun [31] and Craik et al [32]. Besides, these methods can be used to predict vibration transmission between separated rooms in a building as well.…”

Section: Vibration Level Differencementioning

confidence: 99%

A study of vibration behavior in shoe sole using vibration level difference and power flow method

Yue

et al. 2020

J Braz. Soc. Mech. Sci. Eng.

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Vibration is a common phenomenon in people's daily life. As the main bearing part of the human body, the foot can cushion the impact and shock of external force, and alleviate the influence of external vibration on the human body. Footwear with different structures and materials could cause kinematic, kinetic and biomechanical changes in the foot and leg. It is necessary to evaluate the effects of various footwear on the foot. In this paper, a method based on the vibration cushion characteristics of shoes is proposed to discuss the effect of shoes on feet. First of all, the modal test of the common sole was carried out in this paper, and the acceleration vibration level difference of the sole was obtained. Then, based on the finite element method, the power flow method was used to analyze the soles under different gait patterns. Finally, the vibration analysis of the soles filled with different porous structures was carried out by power flow method. The results show that the vibration level difference and power flow method can be used to study the vibration behavior of vibrating body from the aspects of structure and energy accurately and effectively, and the soles filled with triangular and quadrilateral porous structure have better damping performance. This method can be used to further study the biomechanical effect of the sole on foot and as a reference for shoe design.

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“…They can then exhibit large fluctuations in response due to their low mode count and modal overlap, and these modal properties can be modelled by taking into account the finite length of the beam [8]. Craik and Galbrun [9] showed that details of the fluctuations can be determined for laboratory situations and that limiting bands can be determined for field results of timber frames. However, for line connected systems, where the beam is modelled as a plate element, the use of a finite length plate element would significantly increase complexity.…”

Section: Beam Length (Finite Vs Infinite)mentioning

confidence: 99%

“…Depending on the direction in which sound waves travel, these orthotropic properties can then be taken into account by models. For transmission through a timber frame [9], waves travel along the beam's length and the axial Young's modulus is then used. For transmission through plate/beam systems, and depending on the connection type, waves can travel along the beam's length (axial Young's modulus) or across its depth (in which cases averages of the axial/radial/tangential values are generally considered [3]).…”

Section: Materials Characteristicsmentioning

confidence: 99%

“…The beam exhibits significant modal behaviour resulting in large fluctuations in the level difference, due to the low number of modes present in the beam (low mode count and modal overlap). If the beam is modelled with a finite length, these fluctuations can be reproduced by using the corrected coupling loss factor [9] ) Re ( Re 2 2 12 12 Y Y (4) where 12 is the actual coupling loss factor, 12 is the standard coupling loss factor usually calculated from infinitely extended subsystems, Y 2 is the mobility of the receiving subsystem and Y 2 is the mobility of the receiving subsystem assuming it to be infinitely extended. This equation can be used at all frequencies as Re(Y 2 )/Re(Y 2 ) tends to unity as the frequency increases.…”

Section: Coupling From a Plate To A Beammentioning

confidence: 99%

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The modelling of vibration transmission through plate/beam structures typical of lightweight buildings

Galbrun

2008

The Journal of the Acoustical Society of America

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Vibration transmission through plate/beam structures typical of lightweight buildings is examined in this paper. Modelling difficulties are analysed and related to the several modelling choices available, including connection type, beam modelling, modal properties and material properties. A number of key experiments carried out on structures made of one or more parallel plates attached to a single beam are discussed, and the applicability and limitations of fundamental theories are identified through the use of Statistical Energy Analysis (SEA) models. It is shown that the interrelation between the various modelling factors can lead to complex models. The systems for which existing models can be used are identified, as well as those for which more complex models need to be developed.

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Vibration transmission through a frame typical of timber-framed buildings

Cited by 17 publications

References 6 publications

Bending, longitudinal and torsional wave transmission on Euler-Bernoulli and Timoshenko beams with high propagation losses

Bending, longitudinal and torsional wave transmission on Euler-Bernoulli and Timoshenko beams with high propagation losses

A study of vibration behavior in shoe sole using vibration level difference and power flow method

The modelling of vibration transmission through plate/beam structures typical of lightweight buildings

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