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In this paper we explore the numerical study. of the Nonlinear Behavior ofSuspension Bridge Models. The study of suspension bridges is one of the classicproblems of mechanical vibrations, one of the most famous collapses of whichwas that of the Tacoma Narrows Bridge. This paper covers an initial explanationof vibrations in a suspension bridge. To do this, three different systems aregoing to be simulated: The first being a system where only the verticalvibrations of the bridge deck are taken into account, the second covering thevibrations of the main cable and the roadbed, and lastly, a system that takesboth vertical and torsional vibrations into account. A time-frequency analysiswill also be done on all systems with temporal response, Fast Fourier Transform(FFT) and Continuous Wavelet Transform (CWT), plus in a specific case the useof Hilbert-Huang transform (HHT). Poincare maps and Lyapunov exponents are usedto characterize the dynamics of the system. In particular, in the vertical andtorsional system, an explanation of why the Tacoma Bridge oscillations haveundergone an abrupt change from vertical to torsional oscillations. Thus,extremely rich dynamic behaviors are studied by numerical simulation in thetime and frequency domains.

Discussion on Nonlinear Dynamic Behavior of Suspension Based Bridge Model