Date of Award
Fall 1969
Document Type
Thesis - Restricted
Degree Name
Master of Science (MS)
Department
Electrical and Computer Engineering
First Advisor
Nigro, Nicholas
Second Advisor
Elkouh, A.
Third Advisor
Kao, J.
Abstract
Because of the increasingly ambitious goals of the technical community, the analytical tools of the trade need continuous improvement. This is particularly true in the field of vibrations. The approximate theories that were good enough in the past are not always sufficient for the sophisticated and often critical designs of today. On the other hand, finding the complete exact solutions to many vibration problems is extremely difficult; in fact, many have defied solution. One such problem is that of steady state torsional vibration of bars of rectangular cross section. It would appear then, as is so often the case, that some sort of compromise is necessary. The subject matter of this thesis describes such a compromise. Specifically, it is a method of solving approximately, the exact equations of elasticity used to "model" the problem of steady state torsional vibration of bars of non circular cross section and anisotropic material. The method used is the "variational method of Ritz". Thus, not only are solutions attainable, but the results reflect the accuracy of the exact equations.
Recommended Citation
O'Malley, Patrick A., "The Application of the Ritz Method of Steady State, Torsional Vibration of Anisotropic Bars of Rectangular Cross-Section" (1969). Master's Theses (1922-2009) Access restricted to Marquette Campus. 4593.
https://epublications.marquette.edu/theses/4593