- Tytuł:
- Nonlinear mechanics of a compliant beam system undergoing large curvature deformation
- Autorzy:
-
Akano, Theddeus Tochukwu
Olayiwola, Patrick Shola - Powiązania:
- https://bibliotekanauki.pl/articles/1845010.pdf
- Data publikacji:
- 2020
- Wydawca:
- Polska Akademia Nauk. Czytelnia Czasopism PAN
- Tematy:
-
compliant beam
differential transformation method
large deformation
nonlinear equation
mechanics
metoda transformacji różniczkowej
duże odkształcenie
równanie nieliniowe
mechanika - Opis:
- 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.
- Źródło:
-
Archive of Mechanical Engineering; 2020, LXVII, 4; 471-489
0004-0738 - Pojawia się w:
- Archive of Mechanical Engineering
- Dostawca treści:
- Biblioteka Nauki
Artykuł