A hyperboloid shell of revolution (HSR) is proposed for implementation as a coupling, into a fullly integrated driveshaft/coupling assembly. The dynamics of the coupling is not clearly understood, which prompts the need for an analytic investigation of the hyperboloid shell of revolution. The hyperboloid shell of revolution is one in which the meridian of the shell is defined by the equation of a hyperbola. Two methods are utilized to find the first bending frequency of the HSR: Finite Element Method and the Assumed Mode Shape Method. the Fiinite Element Method is applied to Timoshenko Beam Theory, and Galerkin's Assumed Mode Shape Method is applied to the Kirchoff-Love theory of thin shells. Both methods are applied to a fixed-free and fixed-fixed HSR. A parametric study is done to study the effect of the geometric paramaters (the minimum radius, and the axial length under certain specifications) on the natural frequencies. These results are then compared to those found using the program ANSYS.

Library of Congress Subject Headings

Couplings, Flexible--Mathematical models; Machinery--Alignment--Mathematical models; Hyperboloid

Publication Date


Document Type


Student Type


Degree Name

Mechanical Engineering (MS)

Department, Program, or Center

Mechanical Engineering (KGCOE)


Hany Ghoneim

Advisor/Committee Member

Josef Török

Advisor/Committee Member

Kevin Kochersberger


Physical copy available from RIT's Wallace Library at TJ183 .T69 2005


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