Large deformations of tapered beam with finite integration method. (English) Zbl 1464.74093
Summary: The nonlinear large deformation analysis for a tapered cantilever beam subjected to a concentrated force and a bending moment at free end is presented using the finite integration method (FIM) in this paper. The bending stiffness of the beam is assumed to be a function of natural coordinate. The nonlinear ordinary differential equation is numerically solved with the iterative technique. The numerical examples demonstrate that FIM is of high accuracy and excellent convergence.
MSC:
| 74K10 | Rods (beams, columns, shafts, arches, rings, etc.) |
| 74S99 | Numerical and other methods in solid mechanics |
Keywords:
nonlinear ordinary differential equation; large deformations; tapered beams; finite integration method; Lagrange series interpolationReferences:
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