Abstract

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.

Library of Congress Subject Headings

Magnetostriction

Publication Date

1991

Document Type

Thesis

Department, Program, or Center

Mechanical Engineering (KGCOE)

Advisor

Torok, J.

Advisor/Committee Member

Haines, C.

Advisor/Committee Member

Orr, R.

Comments

Note: imported from RIT’s Digital Media Library running on DSpace to RIT Scholar Works. Physical copy available through RIT's The Wallace Library at: QC754.2.M36 M32 1992

Campus

RIT – Main Campus

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