Nonlinear three layer beam system: Well-posedness, asymptotic stability and numerical analysis

Our goal of this work is to study the well-posedness and the asymptotic behavior of solutions of a nonlinear triple beam system commonly known as the Rao-Nakra beam model. We investigated the effects of non-linear frictional and external forces to the beam model. The Garlekin approximation and the multiplier methods were techniques applied to achieve our goals. Numerical approximations were also performed with the finite difference method to validate our theoritical findings.