Date of Award
1987
Document Type
Thesis
Department
Mechanical & Aerospace Engineering
Program/Concentration
Engineering Mechanics
Committee Director
Chuh Mei
Committee Member
Earl A. Thorton
Committee Member
William F. Hunter
Call Number for Print
Special Collections; LD4331.E57G72
Abstract
Using the Newtonian method, the equations of motion are developed for the coupled bending-torsion steady-state response of beams rotating at constant angular velocity in a fixed plane. The resulting equations are valid to first order strain-displacement relationships for a long beam with all other nonlinear terms retained. In addition, the equations are valid for beams with the mass centroidal axis offset (eccentric) from the elastic axis, nonuniform mass and section properties, and variable twist. The solution of these coupled, nonlinear, nonhomogeneous, differential equations is obtained by modifying a Hunter linear second-order transfer-matrix solution procedure to solve the nonlinear differential equations and programing the solution for a desk top personal computer. The modified transfer-matrix method was verified by comparing the solution for a rotating beam with a geometric, nonlinear, finite-element computer code solution; and for a simple rotating beam problem, the modified method demonstrated a significant advantage over the finite-element solution in accuracy, ease of solution, and actual computer processing time required to effect a solution.
Rights
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DOI
10.25777/asrt-g106
Recommended Citation
Gray, Carl E..
"Coupled Bending-Torsion Steady-State Response of Pretwisted, Nonuniform Rotating Beams Using a Transfer-Matrix Method"
(1987). Thesis, Old Dominion University, DOI: 10.25777/asrt-g106
https://digitalcommons.odu.edu/mae_etds/515