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Vpliv togosti konzolnega vpetja na izračun dinamičnega modula elastičnosti
ID Merhar, Miran (Author), ID Bučar, Bojan (Author)

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PID: 20.500.12556/rul/e1db8328-cc85-45a8-8717-4912b9c55e1e

Abstract
Članek prikazuje vpliv vpenjalnega razmerja konzolno vpetega bukovega preizkušanca (Fagus sylvatica) na izračun dinamičnega modula elastičnosti. Najprej smo vzorcu izmerili frekvenco prvega načina lastnega dušenega prečnega nihanja nosilca s prostima koncema. Nato smo skladno z Bernoulli-Eulerjevo teorijo za omenjene pogoje izračunali modul elastičnosti, ki nam je rabil za referenco. Preizkušanec smo zatem konzolno vpenjali od vpenjalnega razmerja 18 do 105 ter mu vsakokrat izmerili frekvenco prvega načina lastnega dušenega prečnega nihanja. Skladno s teorijo za togo konzolno vpetje smo izračunali modul elastičnosti in ga primerjali z referenčnim. Izkazalo se je, da je napaka pri manjših razmerjih vpetja okoli 20 %, pri večjih pa se zmanjša na 5 %. Razlog za veliko napako je nezadostna togost vpetja preizkušanca, ki je kljub zadostni togosti vpenjalnega sistema posledica kompresibilnosti preizkušanca v prečni smeri, saj je modul elastičnosti v radialni oz. tangencialni smeri več kot desetkrat manjši od modula vzporedno s potekom tkiva.

Language:Slovenian
Keywords:lastno prečno nihanje, togost konzolnega vpetja, dinamični modul elastičnosti
Work type:Scientific work
Typology:1.01 - Original Scientific Article
Organization:BF - Biotechnical Faculty
Year:2006
Number of pages:Str. 85-92
Numbering:Št. 79
PID:20.500.12556/RUL-28832 This link opens in a new window
UDC:620.17
ISSN on article:0351-3114
COBISS.SI-ID:1448329 This link opens in a new window
Publication date in RUL:11.07.2014
Views:2673
Downloads:343
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Record is a part of a journal

Title:Zbornik gozdarstva in lesarstva. forest and wood science & technology
Shortened title:Zb. gozd. lesar.
Publisher:Gozdarski inštitut Slovenije, Biotehniška fakulteta, Oddelek za gozdarstvo in obnovljive gozdne vire, Biotehniška fakulteta, Oddelek za lesarstvo
ISSN:0351-3114
COBISS.SI-ID:6206978 This link opens in a new window

Secondary language

Language:English
Abstract:
The paper presents the impact of the clamping ratio of a clamped beech (Fagus sylvatica) cantilever specimen on the calculation of a dynamic modulus of elasticity. First we measured the specimen's frequency of the first mode of damped transverse free vibrations of a specimen with free ends. In accordance with the Bernoulli-Euler theory, we then calculated the modulus of elasticity for the mentioned conditions, which we subsequently used as a reference. The specimen was then clamped as a cantilever beam several times, from a clamping ratio of 18 to 105, and each time the frequency of the first damped transverse free vibrations was measured. The modulus of elasticity was calculated according to the theory for rigid cantilever clamping, and compared to the reference module. In the case of small clamping ratios, the error was around 20 %, whereas in the case of large clamping ratios the error decreased to 5 %. The cause of the major error is insufficient specimen clamping rigidity, which is due - despite a sufficient rigidity of the clamping system - to the specimen compressibility in the transverse radial or tangential directions where the modulus of elasticity is more than ten times smaller than the modulus along the tissue.

Keywords:transverse free vibration, cantilever clamping rigidity, dynamic modulus of elasticity

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