Date of Award

Fall 1992

Document Type

Dissertation

Degree Name

Doctor of Philosophy in Mechanical Engineering - (Ph.D.)

Department

Mechanical Engineering

First Advisor

Harry Herman

Second Advisor

Bernard Koplik

Third Advisor

Nouri Levy

Fourth Advisor

Zhiming Ji

Fifth Advisor

Denis L. Blackmore

Abstract

The solution for the transverse oscillations of a band-saw is determined. Two different models are treated: a fourth-order model and a second-order model. The response characteristics for both models are determined using Laplace transformation. To obtain the inverse Laplace Transform for the fourth-order model, it was necessary to fmd the frequencies by applying the Extended Lanczos Method in order to overcome the problem for computer overflow.

The limits of stability for both models are studied by plotting the eigenvalues against changing parameter values. Conditions for the onset of divergence and flutter instabilities, which need to be taken into account in designing a band-saw, are given. For increased axial tension, the critical velocities are shown to increase for both models. This serves as a means of increasing the stable region.

The less accurate second-order model yields solutions with relative ease. The accuracy of this solution is evaluated by comparing with the fourth order model. The results of the second-order came very close to those of the fourth-order model for high values of tension.

Share

COinS