Transient Response of a Multi-Frequency Reed Gage

Author: Shapiro, Henry

Year: 1952

Degree: Engineer's thesis

Advisor: Hudson, Donald E.

Committee Member: Unknown, Unknown

Option: Mechanical Engineering

DOI: 10.7907/1V1D-ET24

Abstract

The purpose of this thesis is to extend the usefulness of a multifrequency reed gage, a simple mechanical instrument, which records essential features of transient motions. This instrument, which can be considered a dynamic model of a multiple degree of freedom structure, consists of e set of one degree of freedom cantilever beams having various frequencies. The information from the instrument consists of the maximum positive and negative displacement, of each beam. It is desired to obtain as many features as possible about the exciting motion from this information alone.

The instrument response is obtained analytically for various exciting pulses. Both symmetrical pulses and non-symmetrical pulses with rise time to decay time ratios from zero to infinity are considered. The impulsive response is considered separately.

From a study of these responses a correlation is made between the response and the excitation. Table #5, page 32, summarizes the information about these studies and indicates the methods for obtaining, maximum information from the reed gage.

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