Date of Award

Spring 1993

Document Type

Thesis

Degree Name

Master of Science (MS)

Department

Mechanical & Aerospace Engineering

Program/Concentration

Engineering Mechanics

Committee Director

Chuh Mei

Committee Member

Uday Shirahatti

Committee Member

Norman Knight

Call Number for Print

Special Collections; LD4331.E57O36

Abstract

A finite element formulation is developed to analyze the large deflection vibration of a buckled isotropic beam. The beam is buckled mechanically by an applied end displacement, and the dynamic loading is derived from the forced periodic base motion. The principle of virtual work is used to derive the system equations of motion. A Newton-Raphson iteration routine modified for the case of an applied end displacement is used with the incremental equations of motion to determine static deflection. The 0l time numerical integration algorithm is applied to the system of equations of motion in physical coordinates to determine dynamic response in regions of the amplitude frequency plane. Specific studies include the determination of lower bounds of forcing frequency at discrete amplitudes above which snap-through response will occur and an analysis of the varying types of response in the snap-through region for different forcing amplitudes.

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DOI

10.25777/9eds-0e02

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