Masters Theses

Abstract

"The object of this thesis is to determine the critical speed of a shaft by an electrical analogy. The shaft considered is of constant diameter and is simply supported at the ends by fixing it in self aligning bearings. The weight of the shaft is assumed to be proportionally distributed in the attached masses.

The original system is first of all converted to an equivalent simple spiring mass system by calculating the influence coefficients and hence frcan these determining the spring constants. The spring mass system obtained is then converted to an equivalent electrical circuit.

A sine-square wave frequency generator was used to produce the sine wave voltage which simulates the cyclic external force on the mechanical system.

In the case of the three mass system two of the capacitances were negative. The solution for negative capacitance was obtained by making two separate amplifier circuits employing inverse feedback in the amplifier circuit.

The method used in this thesis makes the problem easy for up to two masses, but for more than two masses it becomes involved by the introduction of negative capacitances. The author has given the solution for the three mass system to show the complications introduced by increasing the number of masses"--Abstract, page ii.

Advisor(s)

Murray, Richard George

Committee Member(s)

Miles, Aaron J.
Pyron, Howard D.
Richards, Earl F., 1923-

Department(s)

Mechanical and Aerospace Engineering

Degree Name

M.S. in Mechanical Engineering

Publisher

University of Missouri at Rolla

Publication Date

1964

Pagination

vi, 42 pages

Note about bibliography

Includes bibliographical references (page 32).

Rights

© 1964 Ashok Z. Patel, All rights reserved.

Document Type

Thesis - Open Access

File Type

text

Language

English

Thesis Number

T 1659

Print OCLC #

5962576

Download

Share

 
COinS