Abstract

In this paper, an efficient algorithm is developed for the identification of stable steady-state solutions to periodically forced linear and nonlinear dynamical systems. The developed method is based on mapping techniques introduced by Henri Poincare' and the theory of one-parameter transformation groups. The algorithm successfully identifies initial conditions which give rise to strictly periodic orbits. The technique is demonstrated on selected problems associated with linear as well as nonlinear systems.

Library of Congress Subject Headings

Oscillations; Linear analysis; Nonlinear mechanics

Publication Date

1992

Document Type

Thesis

Department, Program, or Center

Mechanical Engineering (KGCOE)

Advisor

Torok, J.

Advisor/Committee Member

Hetnarski, R.

Advisor/Committee Member

Engel, A.

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: QA402 .T83 1992

Campus

RIT – Main Campus

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