Natural vibration analysis of clear wooden beams: a theoretical review

Brancheriau, Loïc; Baillères, Henri

doi:10.1007/s00226-002-0143-7

Cited by 151 publications

(117 citation statements)

References 6 publications

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“…Sound radiation coefficient was calculated using equation 1, taking into account the longitudinal modulus of elasticity and stabilized density. Euler-Bernoulli's elementary theory of flexural vibration (Bodig andJayne 1993, Brancheriau andBailleres 2002) and logarithmic decrement of sound attenuation were used to evaluate the longitudinal modulus of elasticity and damping due to internal friction, respectively from the 1 st mode of flexural vibration (Bodig and Jayne 1993).…”

Section: Methodsmentioning

confidence: 99%

The effect of extractives on acoustical properties of persian silk wood (Albizia julibrissin)

Farvardin

Roohnia

Lashgari

2015

Maderas, Cienc. tecnol.

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It was previously reported that extractives from Pernambuco wood (a species from Leguminosae family, native to South America) are positive for acoustical performance of wood. Thus the present study set to investigate the effect of extraction in hot water and ethanol/acetone mixture on acoustical properties of Persian silk wood (Albizia julibrissin, a species from Leguminosae family, native to Iran). Contactless forced flexural vibration on both freeends of beams was performed on thin small specimens before and after extraction. Results showed that the extractive components soluble in hot water were positively useful to acoustical properties because removing these extractives reduced the acoustic property of the wood. Raw wood from Persian silk tree based on a combination of studied acoustical characteristics has theoretically the potential to be applied in violin backs and ribs.

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Section: Methodsmentioning

confidence: 99%

The effect of extractives on acoustical properties of persian silk wood (Albizia julibrissin)

Farvardin

Roohnia

Lashgari

2015

Maderas, Cienc. tecnol.

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“…The specific longitudinal modulus of elasticity (MOE L /ρ) and the shear modulus can be evaluated based on Timoshenko bar equations and Bordonné Solution (Bordonné, 1989;Brancheriau et al, 2002). In this equation, after obtaining the kth frequency through Fourier Transform, considering a k and b k , the value of longitudinal specific modulus of elasticity was determined using a linear regression formula as following:…”

Section: Methodsmentioning

confidence: 99%

Les constantes élastiques du bois de peuplier fissuré aux extrémités

2010

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Abstract• In this study, longitudinal specific modulus of elasticity along the grain (specific MOE L = MOE L /ρ) as well as radial and tangential shear moduli (G LR and G LT ) of Populus Deltoides wood were examined in free flexural vibration in a free-free bar method, where end-cracks produced manually in LT plane along and parallel to annual rings in four different sizes.• The effects of four different crack sizes (0, 6, 12, and 18 cm) on elastic parameters of the bars were examined for their vibration properties based on Timoshenko bar equations, in order to find a procedure to make a confident choice of a clear specimen among the cracked ones, considering three initial modes of vibration.• Based on research findings, a significant correlation existed between radial and tangential shear moduli of the clear bars as G LR was approximately 15 percents higher than G LT . After making the shortest crack sizes, however, this correlation entirely faded. Statistically for 6 cm crack, decreases in specific MOE L for measurement on the tangential impact were not significant though they were for longer cracks.• It was also revealed that in specimen under the study if longitudinal specific modulus of elasticity from both LR and LT flexural vibrations were almost equal and G LR was slightly larger than G LT , the user could be confident enough to consider the specimen without severe longitudinal cracks. Mots-clés :fissure / endommagement / élasticité / vibration libre / Populus deltoides Résumé -Les constantes élastiques du bois de peuplier fissuré aux extrémités.• Dans cette étude, le module d'élasticité longitudinal spécifique (MOEL/ρ) et les modules de cisaillement radial et tangentiel (G LR and G LT ) du bois de Populus deltoides ont été mesuré en vibration de flexion libre-libre pour quatre différentes longueurs de fissures initiées manuellement dans le plan LT qui est parallèle au fil du bois et tangentiel aux limites de cernes.• Les effets des quatre différentes tailles de fissures (0, 6, 12 et 18 cm) sur les constantes élastiques des barres ont été examinées pour leurs propriétés vibratoires sur la base des équations de Timoshenko, dans le but de trouver une procédure conduisant à un choix fiable d'un échantillon sans défauts parmi les échantillons fissurés, ceci en considérant les trois modes initiaux de vibration.• Les résultats obtenus montrent une corrélation significative entre les modules de cisaillement radial et tangentiel des barres sans défauts, G LR étant environ 15 pour cent plus élevé que G LT . Cependant après avoir réalisé les fissures les plus courtes cette corrélation n'existe plus. Pour une fissure de 6 cm, la décroissance du module longitudinal spécifique mesuré en tangentiel n'est pas significative alors que c'était le cas pour des fissures plus longues.• Pour nos échantillons, nous avons également montré que si les modules d'élasticité longitudinaux spécifiques sont presque identiques et G LR légèrement plus important que G LT , l'utilisateur peut exploiter en confiance les échantillons sans f...

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“…In addition, Bordonné's free vibration beam method (Bordonné 1989;Brancheriau and Bailleres 2002) was applied on samples sized 20=20=360 mm 3 (R=T=L). It allows measuring longitudinal bending elastic modulus, E L , and shear moduli, G TL or G LR , depending on the sample rotation along the L-direction, at the natural frequency of the beam, which is approximately 700 Hz.…”

Section: Characterization Of the Raw Materialsmentioning

confidence: 99%

“…Accordingly, the static bending moduli of elasticity in the two main panel directions, E x and E y , were obtained. In addition, the same samples were tested in free vibration bending using Bordonné's principle (Bordonné 1989;Brancheriau and Bailleres 2002). Face down measurements allow determination of the bending moduli of elasticity, E x and E y , at a frequency of around 500 Hz and edgewise measurements yield estimates of the shear elastic modulus G xy (Brancheriau 2006) on the two types of beams (x-and y-direction).…”

Section: Characterization Of Osb Test Specimensmentioning

confidence: 99%

Mechanical potential of eco-OSB produced from durable and nondurable species and natural resins

Stürzenbecher¹,

Bardet²,

Hofstetter³

et al. 2010

Holzforschung

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Oriented strand board (OSB) panels were manufactured with different mixtures of pine and cypress heartwood and resins based on lignin or tannin to develop an eco-friendly wood composite with a natural durability against termite and fungi. Some physical properties and the major elastic moduli of bulk wood as well as of the manufactured panels were determined using different measurement techniques. In addition, a micromechanical model was adapted and validated with the experimental results. The good agreement obtained between the experimental data and model predictions indicates the proper assessment of the most influential parameters, such as raw material and adhesive properties, strand orientation, layer assembly and density profile. A parameter study, enlightening the effect of strand orientation on several elastic constants, enlarges the scope of experiments. We conclude with an optimal combination of resin and wood species mixture resulting in the best performance from a biological and mechanical standpoint.

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Natural vibration analysis of clear wooden beams: a theoretical review

Cited by 151 publications

References 6 publications

The effect of extractives on acoustical properties of persian silk wood (Albizia julibrissin)

The effect of extractives on acoustical properties of persian silk wood (Albizia julibrissin)

Les constantes élastiques du bois de peuplier fissuré aux extrémités

Mechanical potential of eco-OSB produced from durable and nondurable species and natural resins

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