Masters Theses

Abstract

"The object of this work is to establish an analysis procedure to permit optimization of the design of ti1e compound bow. The distinguishing features of the compound bow are a system of cables and eccentric pulleys which change the leverage between the bow string and the bow limbs as the string is drawn. This approach concentrates on an accurate representation of the limb mechanics which will allow the design of eccentric wheels to improve the energy storage potential of the bow and thereby increases the velocity of an arrow cast by the bow.

The compound bow is a rather unique mechanism which does not lend itself to analysis by conventional methods. A numerical technique is developed here which approximates the deflected shape of the neutral axis of the bow limb with a series of circular arc segments. rr11is approximation is combined with vector relationships describing the action of the string and cables. A programmable calculator is used to verify the algorithms developed. Application of just the limb approximation to a special case for which an exact solution is available produced maximum errors of 0.092% and 0.576% for the perpendicular and angular deflections of the limb tip. Results of the entire numerical method for horizontal and vertical deflections deviate an average of 0.320, / 4 and 1.65%, respectively, from deflections measured on the bow. This accuracy demonstrates the usefulness of the method in relating the loads and displacements of the bow components"-- Abstract, p. ii

Advisor(s)

Flanigan, V. J., 1938-2016

Committee Member(s)

Koval, Leslie
Davis, Robert L.

Department(s)

Mechanical and Aerospace Engineering

Degree Name

M.S. in Mechanical Engineering

Publisher

University of Missouri--Rolla

Publication Date

Fall 1981

Pagination

viii, 75 pages

Note about bibliography

Includes bibliographical references (page 48)

Rights

© 1981 Mark Aaron Kincy, All rights reserved.

Document Type

Thesis - Open Access

File Type

text

Language

English

Thesis Number

T 4765

Print OCLC #

8672057

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