Size‑dependent coupled bending-torsional vibration of Timoshenko microbeams

Balali Dehkordi, Hamid Reza; Tadi Beni, Yaghoub

doi:10.1007/s43452-022-00435-3

Artykuł - szczegóły

Tytuł artykułu

Size‑dependent coupled bending-torsional vibration of Timoshenko microbeams

Autorzy

Balali Dehkordi Hamid Reza , Tadi Beni Yaghoub

Wybrane pełne teksty z tego czasopisma

http://www.springer.com/journal/43452

Identyfikatory

DOI

10.1007/s43452-022-00435-3

Warianty tytułu

Języki publikacji

Abstrakty

In this paper, the coupled bending and torsional vibration analysis of microbeams under axial force based on Timoshenko’s beam theory is investigated. Modified non-classic coupled stress theory and the Hamilton principle used to establish the motion equations of the system. The generalized differential quadratures method is used to solve the obtained set of differential equations. After establishment of eigenvalue problem, two comparison studies are conducted to assure the validity and accuracy of the present solution and excellent agreement observed with the present results and those reported by other researchers in some specific cases by analytical solutions and classical beam theory. Afterwards, parametric studies are developed to examine the influences of boundary conditions, size effect, and various geometric characteristics of the beam on natural frequencies and the associated mode shapes are discussed. The results show that the non-compliance of the mass axis with the elastic axis reduces the natural frequency. Also, Poisson’s ratio have an opposite effect on the natural frequency.

Słowa kluczowe

coupled bending torsional vibration size dependent modified coupled stress theory Timoshenko beam generalized differential quadratures method

rozmiar zależny belka Tymoszenki metoda kwadratur różniczkowych

Wydawca

Springer
Wrocław University of Science and Technology

Czasopismo

Archives of Civil and Mechanical Engineering

Rocznik

2022

Tom

Vol. 22, no. 3

Strony

art. no. e124

Opis fizyczny

Bibliogr. 39 poz., rys., tab., wykr

Twórcy

autor

Balali Dehkordi Hamid Reza

Department of Mechanical Engineering, Shahrekord University, Shahrekord, Iran

autor

Tadi Beni Yaghoub

tadi@sku.ac.ir

Faculty of Engineering, Shahrekord University, Shahrekord, Iran
Nanotechnology Research Institute, Shahrekord, University, Shahrekord, Iran

https://orcid.org/0000-0002-1645-6403

Bibliografia

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Uwagi

Opracowanie rekordu ze środków MEiN, umowa nr SONP/SP/546092/2022 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2022-2023)

Typ dokumentu

Bibliografia

Identyfikator YADDA

bwmeta1.element.baztech-7cfbc064-6ed3-408f-be2d-ca90b3918020