A dynamically buckled elastic beam is a physically realizable system exhibiting both periodic and chaotic behavior. The equations of motion are developed as a finite dimensional Galerkin approximation of an infinite degree of freedom system. Generalized eigenvalues or Lyapunov exponents are introduced as a quantitative characterization of chaos, i.e. unstable but bounded motion. A semi-discrete method for the estimation of the Lyapunov spectrum is used to investigate the influence of the forcing parameters on the system response. The equations of motion are then integrated numerically to correlate the steady state response with the value of the associated largest Lyapunov exponent.
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Department, Program, or Center
Mechanical Engineering (KGCOE)
Modi, Chetan O., "Nonlinear dynamics of a magnetoelastic system" (1991). Thesis. Rochester Institute of Technology. Accessed from
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