Document Type
Thesis
Date of Award
1-31-1983
Degree Name
Master of Science in Applied Mathematics - (M.S.)
Department
Mathematics
First Advisor
Denis L. Blackmore
Second Advisor
Simon Cohen
Third Advisor
Roy A. Plastock
Abstract
The differential equation of motion for the C.G. line of a vibrating cantilever beam which is mounted on an eccentric rotating disc is derived. Exact solutions in terms of hypergeometric functions of this fourth order differential equation with variable coefficients are obtained by making several mild assumptions. These solutions include a large class of vibrational modes.
The primary idea leading to the exact solutions is the factorization of the fourth order differential operator into a pair of commuting second order operators.
Recommended Citation
Aboelnaga, Yousry S., "Bending vibrations of a cantilever beam on an eccentric rotating disc" (1983). Theses. 3495.
https://digitalcommons.njit.edu/theses/3495
