It is probable that all practical engineering structures are nonlinear to some extent. In this thesis work a two degrees of freedom nonlinear system and experimental structure with zero memory were simulated, modeled and analyzed to understand their behavior for different conditions. Nonlinear parameters and true linear frequency response was extracted. The limit of chaos was also determined. To achieve these results simulation and experimental model was used and analyzed using MATLAB toolbox. This was done using random noise and sweeping sine forces as an input and controlling the amplitude specially when determining the limits of chaos. Good results were achieved and verified combining the simulation and experimental results.