Nonlinear mechanics of a compliant beam system undergoing large curvature deformation

• Autorzy: Akano Theddeus Tochukwu , Olayiwola Patrick Shola

Identyfikatory

DOI

10.24425/ame.2020.131703

• Języki publikacji: EN

Abstrakty

EN

A compliant beam subjected to large deformation is governed by a multifaceted nonlinear differential equation. In the context of theoretical mechanics, solution for such equations plays an important role. Since it is hard to find closed-form solutions for this nonlinear problem and attempt at direct solution results in linearising the model. This paper investigates the aforementioned problem via the multi-step differential transformation method (MsDTM), which is well-known approximate analytical solutions. The nonlinear governing equation is established based on a large radius of curvature that gives rise to curvature-moment nonlinearity. Based on established boundary conditions, solutions are sort to address the free vibration and static response of the deforming flexible beam. The geometrically linear and nonlinear theory approaches are related. The efficacy of the MsDTM is verified by a couple of physically related parameters for this investigation. The findings demonstrate that this approach is highly efficient and easy to determine the solution of such problems. In new engineering subjects, it is forecast that MsDTM will find wide use.

Słowa kluczowe

EN

compliant beam; differential transformation method; large deformation; nonlinear equation; mechanics

PL

metoda transformacji różniczkowej; odkształcenie duże; równanie nieliniowe; mechanika

• Wydawca: Komitet Budowy Maszyn PAN
• Czasopismo: Archive of Mechanical Engineering
• Rocznik: 2020
• Tom: LXVII, nr 4
• Strony: 471--489
• Opis fizyczny: Bibliogr. 40 poz., rys., wykr.

Twórcy

autor

Akano Theddeus Tochukwu

• University of Lagos, Lagos, Nigeria

autor

Olayiwola Patrick Shola

• University of Lagos, Lagos, Nigeria

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Uwagi

Opracowanie rekordu ze środków MNiSW, umowa Nr 461252 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2020).