Abstract
The distribution of an applied force to the rigid component of the Buccal Arch Positioner was determined with a theoretically formulated model. The rigid component was assumed to be a free body without the semi-rigid attachments and was evaluated at four points for the force distribution. The summation of the forces and the moments were equated to zero and were utilized to derive equations to solve for the unknown forces. The unknown forces at each point of the rigid component were solved for in terms of the given force applications.
A laterally directed force application at one of the posterior ends of the rigid component created an equal but opposite lateral force at the other posterior end, and had zero force at the anterior region. A posteriorly directed force application at one of the posterior ends of the rigid component created an equal posterior force in the same direction at the other posterior end and a force twice as large in the opposite direction at the anterior region. A force application at the right posterior end in the upward direction created a downward force of one third the applied magnitude at the left posterior end, an upward force of 10/3 the applied magnitude at the midincisal region, and a downward force of four times the applied magnitude at the right cuspid region.
The free-body analysis was established in a BASIC language computer program at the Loma Linda University scientific computation center and saved in its library file. This program may be utilized to perform the repetitive calculations to determine the reactive forces at various points from a point of force application. It may also be amenable for general arch applications.
LLU Discipline
Orthodontics
Department
Dentistry
School
Graduate School
First Advisor
Roland D. Walters
Second Advisor
John DeVincenzo
Third Advisor
Jack L. Tomlinson
Fourth Advisor
Steve N. Asahino
Fifth Advisor
Joseph Jacobs
Degree Name
Master of Science (MS)
Degree Level
M.S.
Year Degree Awarded
1973
Date (Title Page)
6-1973
Language
English
Library of Congress/MESH Subject Headings
Dental Stress Analysis; Orthodontic Appliances
Type
Thesis
Page Count
vi; 36
Digital Format
Digital Publisher
Loma Linda University Libraries
Copyright
Author
Usage Rights
This title appears here courtesy of the author, who has granted Loma Linda University a limited, non-exclusive right to make this publication available to the public. The author retains all other copyrights.
Recommended Citation
Teruya, Dennis H., "The Theoretical Distribution of Forces in the Rigid Component of the Buccal Arch Positioner" (1973). Loma Linda University Electronic Theses, Dissertations & Projects. 1956.
https://scholarsrepository.llu.edu/etd/1956
Collection
Loma Linda University Electronic Theses and Dissertations
Collection Website
http://scholarsrepository.llu.edu/etd/
Repository
Loma Linda University. Del E. Webb Memorial Library. University Archives
Included in
Applied Mathematics Commons, Computer Engineering Commons, Dental Materials Commons, Orthodontics and Orthodontology Commons