Remarks on nonlinear dynamics of a suspension bridge model

Resumo

The following paper aims to analyze the Lazer-McKenna suspension bridge model, a system with a
nonlinear response. The proposed model has as a difference the presence of a rubber band in a mass-spring-damper
system, where the rubber band exerts force only against the extension. The dynamic response is analyzed in time
and frequency domains with time tools like Phase Portrait, Poincare Maps and frequency tools like Fast Fourier
transform, and Continuous Wavelets transform, where the nonlinearity is investigated. Both the time response,
obtained by numerically solving the second order differential equation with Runge-Kutta methods, and the signal
processing were obtained using the python programming language.