

Type of Document Master's Thesis Author Griffin, Timothy R. Author's Email Address tigriffi@vt.edu URN etd-22098-16610 Title Computer-Aided Design Software for Torsional Analysis Degree Master of Science Department Mechanical Engineering Advisory Committee
Advisor Name Title Mitchell, Larry D. Committee Chair Mitchiner, Reginald G. Committee Member West, Robert L. Jr. Committee Member Keywords
- Transfer Matrix
- Multi-Rotor
- Planetary Gear Train
- Torsion
- Eigenvalues
- Forced Response
Date of Defense 1998-03-05 Availability unrestricted Abstract The goal of this research has been the development of an effective design tool fortorsional analysis. In the hopes of achieving this goal the computer program, Torsion 1,
has been created. This torsional transfer matrix program provides the user with the
ability to easily model multi-rotor systems using a simple user-interface. The program is
capable of modeling such components or system characteristics as continuously
distributed mass, viscous and structural damping, vibration absorbers, and gear meshes
with gear tooth flexibility. The analysis capabilities of the program include forced-response
and free-vibration analyses. The forced-response analysis module is capable of
determining a system's response to a static or harmonic torsional load. The free-vibration
analysis module allows is capable of determining the eigenvalues and eigenvectors for
damped and undamped systems. This thesis includes an explanation of the multi-rotor
transfer matrix technique employed in Torsion 1. The derivation of transfer matrices for
visco-elastic vibration absorbers, pendulum absorbers, flexible gear meshes, and
planetary gear trains are included in this work. Finally, the validity of the program
results is verified with a set of benchmark examples.
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