TY - JOUR
N2 - 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.
L1 - http://www.journals.pan.pl/Content/115035/PDF/AME_2020-131703.pdf
L2 - http://www.journals.pan.pl/Content/115035
PY - 2020
IS - No 4
EP - 489
DO - 10.24425/ame.2020.131703
KW - compliant beam
KW - differential transformation method
KW - large deformation
KW - nonlinear equation
KW - mechanics
A1 - Akano, Theddeus Tochukwu
A1 - Olayiwola, Patrick Shola
PB - Polish Academy of Sciences, Committee on Machine Building
VL - vol. 67
DA - 2020.12.22
T1 - Nonlinear mechanics of a compliant beam system undergoing large curvature deformation
SP - 471
UR - http://www.journals.pan.pl/dlibra/publication/edition/115035
T2 - Archive of Mechanical Engineering
ER -