Natural vibration analysis of clear wooden beams : A theoretical review
In wood science, natural vibration analysis is being used to an increasing extent to characterise the longitudinal and the shear modulus of elacticity of various geometrical types of prismatic beams. A lateral or a axial percussion at one end of a beam set up on elastic support produces bending or longitudinal vibrations. Considering the hypothesis of the homogeneity of geometrical and mechanical properties of the beam, basic dynamics theorems can be applied to obtain the motion equations of longitudinal and transverse vibrations. The resolution of the differential equation for transverse motion leads to a search for solutions to the frequency equation. Because no exact analytical solution can be found, several approximate results are analysed. The application and validity range have to be defined to be able to achieve realistic results. The effects of the elastic support, the shear modulus and the height to length ratio are discussed. The conceptual bases help in understanding the analytical results and accuracy calculations can then be developed for practical applications. We present the most common theoretical models and define their validity range, application conditions, and accuracy levels with respect to measured values.
Main Authors: | , |
---|---|
Format: | article biblioteca |
Language: | eng |
Subjects: | K50 - Technologie des produits forestiers, bois, propriété physicochimique, vibration, http://aims.fao.org/aos/agrovoc/c_8421, http://aims.fao.org/aos/agrovoc/c_1521, http://aims.fao.org/aos/agrovoc/c_8211, |
Online Access: | http://agritrop.cirad.fr/520385/ http://agritrop.cirad.fr/520385/1/520385.pdf |
Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
id |
dig-cirad-fr-520385 |
---|---|
record_format |
koha |
spelling |
dig-cirad-fr-5203852024-01-28T12:31:30Z http://agritrop.cirad.fr/520385/ http://agritrop.cirad.fr/520385/ Natural vibration analysis of clear wooden beams : A theoretical review. Brancheriau Loïc, Baillères Henri. 2002. Wood Science and Technology, 36 (4) : 347-365.https://doi.org/10.1007/s00226-002-0143-7 <https://doi.org/10.1007/s00226-002-0143-7> Natural vibration analysis of clear wooden beams : A theoretical review Brancheriau, Loïc Baillères, Henri eng 2002 Wood Science and Technology K50 - Technologie des produits forestiers bois propriété physicochimique vibration http://aims.fao.org/aos/agrovoc/c_8421 http://aims.fao.org/aos/agrovoc/c_1521 http://aims.fao.org/aos/agrovoc/c_8211 In wood science, natural vibration analysis is being used to an increasing extent to characterise the longitudinal and the shear modulus of elacticity of various geometrical types of prismatic beams. A lateral or a axial percussion at one end of a beam set up on elastic support produces bending or longitudinal vibrations. Considering the hypothesis of the homogeneity of geometrical and mechanical properties of the beam, basic dynamics theorems can be applied to obtain the motion equations of longitudinal and transverse vibrations. The resolution of the differential equation for transverse motion leads to a search for solutions to the frequency equation. Because no exact analytical solution can be found, several approximate results are analysed. The application and validity range have to be defined to be able to achieve realistic results. The effects of the elastic support, the shear modulus and the height to length ratio are discussed. The conceptual bases help in understanding the analytical results and accuracy calculations can then be developed for practical applications. We present the most common theoretical models and define their validity range, application conditions, and accuracy levels with respect to measured values. article info:eu-repo/semantics/article Journal Article info:eu-repo/semantics/publishedVersion http://agritrop.cirad.fr/520385/1/520385.pdf text Cirad license info:eu-repo/semantics/restrictedAccess https://agritrop.cirad.fr/mention_legale.html https://doi.org/10.1007/s00226-002-0143-7 10.1007/s00226-002-0143-7 http://catalogue-bibliotheques.cirad.fr/cgi-bin/koha/opac-detail.pl?biblionumber=181897 info:eu-repo/semantics/altIdentifier/doi/10.1007/s00226-002-0143-7 info:eu-repo/semantics/altIdentifier/purl/https://doi.org/10.1007/s00226-002-0143-7 |
institution |
CIRAD FR |
collection |
DSpace |
country |
Francia |
countrycode |
FR |
component |
Bibliográfico |
access |
En linea |
databasecode |
dig-cirad-fr |
tag |
biblioteca |
region |
Europa del Oeste |
libraryname |
Biblioteca del CIRAD Francia |
language |
eng |
topic |
K50 - Technologie des produits forestiers bois propriété physicochimique vibration http://aims.fao.org/aos/agrovoc/c_8421 http://aims.fao.org/aos/agrovoc/c_1521 http://aims.fao.org/aos/agrovoc/c_8211 K50 - Technologie des produits forestiers bois propriété physicochimique vibration http://aims.fao.org/aos/agrovoc/c_8421 http://aims.fao.org/aos/agrovoc/c_1521 http://aims.fao.org/aos/agrovoc/c_8211 |
spellingShingle |
K50 - Technologie des produits forestiers bois propriété physicochimique vibration http://aims.fao.org/aos/agrovoc/c_8421 http://aims.fao.org/aos/agrovoc/c_1521 http://aims.fao.org/aos/agrovoc/c_8211 K50 - Technologie des produits forestiers bois propriété physicochimique vibration http://aims.fao.org/aos/agrovoc/c_8421 http://aims.fao.org/aos/agrovoc/c_1521 http://aims.fao.org/aos/agrovoc/c_8211 Brancheriau, Loïc Baillères, Henri Natural vibration analysis of clear wooden beams : A theoretical review |
description |
In wood science, natural vibration analysis is being used to an increasing extent to characterise the longitudinal and the shear modulus of elacticity of various geometrical types of prismatic beams. A lateral or a axial percussion at one end of a beam set up on elastic support produces bending or longitudinal vibrations. Considering the hypothesis of the homogeneity of geometrical and mechanical properties of the beam, basic dynamics theorems can be applied to obtain the motion equations of longitudinal and transverse vibrations. The resolution of the differential equation for transverse motion leads to a search for solutions to the frequency equation. Because no exact analytical solution can be found, several approximate results are analysed. The application and validity range have to be defined to be able to achieve realistic results. The effects of the elastic support, the shear modulus and the height to length ratio are discussed. The conceptual bases help in understanding the analytical results and accuracy calculations can then be developed for practical applications. We present the most common theoretical models and define their validity range, application conditions, and accuracy levels with respect to measured values. |
format |
article |
topic_facet |
K50 - Technologie des produits forestiers bois propriété physicochimique vibration http://aims.fao.org/aos/agrovoc/c_8421 http://aims.fao.org/aos/agrovoc/c_1521 http://aims.fao.org/aos/agrovoc/c_8211 |
author |
Brancheriau, Loïc Baillères, Henri |
author_facet |
Brancheriau, Loïc Baillères, Henri |
author_sort |
Brancheriau, Loïc |
title |
Natural vibration analysis of clear wooden beams : A theoretical review |
title_short |
Natural vibration analysis of clear wooden beams : A theoretical review |
title_full |
Natural vibration analysis of clear wooden beams : A theoretical review |
title_fullStr |
Natural vibration analysis of clear wooden beams : A theoretical review |
title_full_unstemmed |
Natural vibration analysis of clear wooden beams : A theoretical review |
title_sort |
natural vibration analysis of clear wooden beams : a theoretical review |
url |
http://agritrop.cirad.fr/520385/ http://agritrop.cirad.fr/520385/1/520385.pdf |
work_keys_str_mv |
AT brancheriauloic naturalvibrationanalysisofclearwoodenbeamsatheoreticalreview AT baillereshenri naturalvibrationanalysisofclearwoodenbeamsatheoreticalreview |
_version_ |
1792495867445379072 |