First natural transverse frequency of truncated cone and wedge beams

• Autorzy: Bagdasaryan V. , Chalecki M. , Gierasimiuk M. , Jaworski J. , Szlachetka O.

Warianty tytułu

PL

Pierwsza częstość drgań własnych belek w kształcie ściętego stożka i klina

• Języki publikacji: EN

Abstrakty

EN

Using the Rayleigh’s method, the first natural frequency and period corresponding to the first mode of transversal vibrations for cone and wedge beams, having non-uniform cross-section, are calculated in this study. Six different supporting schemes are considered. It has been assumed that the beams are made of a homogeneous and elastic material and the deflection line of the beam axis during vibrations has the same shape as the axis deflected by a static constant uniform continuous load. The values of frequencies, calculated according to the presented procedure, have been compared to the results obtained in the Finite Element Method as well as to the benchmark solutions given in the literature for the natural vibrations of Euler-Bernoulli’s beam. High conformity of results, enough for engineering calculations, is concluded.

PL

Metodą Rayleigha wyznaczono częstość i okres odpowiadający pierwszej postaci drgań własnych (giętnych) belek o zmiennym przekroju poprzecznym, w kształcie ściętego stożka i ściętego klina. Uwzględniono sześć schematów podparcia. Przyjęto, że belki są wykonane z materiału jednorodnego i sprężystego, i że kształt wychylenia osi belki podczas drgań odpowiada ugięciu statycznemu pod działaniem stałego obciążenia ciągłego. Otrzymane częstości drgań porównano z rezultatami uzyskanymi metodą elementów skończonych oraz z podanymi w literaturze wzorcowymi wynikami dla drgań własnych belki Bernoulliego-Eulera. Stwierdzono dużą zgodność wyników, wystarczającą do obliczeń inżynierskich.

Słowa kluczowe

EN

vibration; transverse frequency; truncated cone beam; truncated wedge beam; Rayleigh's method

• Wydawca: -
• Czasopismo: Acta Scientiarum Polonorum. Architectura
• Rocznik: 2018
• Tom: 17
• Numer: 1
• Opis fizyczny: p.3-12,fig.,ref.

Twórcy

autor

Bagdasaryan V.

• Faculty of Civil and Environmental Engineering, Warsaw University of Life Sciences – SGGW, Warsaw, Poland

autor

Chalecki M.

• Faculty of Civil and Environmental Engineering, Warsaw University of Life Sciences – SGGW, Warsaw, Poland

autor

Gierasimiuk M.

• Faculty of Civil and Environmental Engineering, Warsaw University of Life Sciences – SGGW, Warsaw, Poland

autor

Jaworski J.

• Faculty of Civil and Environmental Engineering, Warsaw University of Life Sciences – SGGW, Warsaw, Poland

autor

Szlachetka O.

• Faculty of Civil and Environmental Engineering, Warsaw University of Life Sciences – SGGW, Warsaw, Poland

Bibliografia

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Identyfikatory

DOI

10.22630/ASPA.2018.17.1.1