Author(s)

S. A. David

Department of Biosystems Engineering, University of São Paulo, São Paulo, Brazil.

In this paper, I applied the Euler-Lagrange equations in order to obtain the coupled-nonlinear motion equations for an elastic structure. The model is composed of six coupled and strongly nonlinear ordinary differential equations. The new contribution of this work arises from the fact that a convenient and innovative parameterization of the motion equations for the elastic system was developed with all mathematical nonlinearities taken into account, without the usage of any simplifying linearization procedure, as found in most of the works presented in the literature. The results can be used as a source for conducting experiments and can be useful for a better understanding and control of such nonlinear elastic systems.

Mathematical Modeling, Lightweight Elements, Dynamic Systems, Mechanics

David, S. (2014) Coupled-Nonlinear Elastic Structure: An Innovative Parameterization Scheme of the Motion Equations. Applied Mathematics, 5, 3460-3473. doi: 10.4236/am.2014.521324.