Abstract
A method to analyze the free and forced torsional vibration of viscously damped circular cylindrical shafting carrying a multiplicity of viscously damped linear oscillators and/or rigidly attached disks, arbitrarily placed along the length, is presented. A generalized differential equation is derived and solved using the Green's function of the vibrating shaft. The characteristic equation is obtained and solved for the system natural frequencies, and the natural modes of vibration and the orthogonality relation for the natural modes are derived from the generalized differential equation. The forced response to arbitrary excitation is found by traditional methods of modal analysis. The resulting solution is exact when the system is proportionally damped, and approximate otherwise due to truncation.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 515-521 |
| Number of pages | 7 |
| Journal | Collection of Technical Papers - AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference |
| Issue number | pt 2 |
| DOIs | |
| State | Published - 1985 |
ASJC Scopus subject areas
- Architecture
- Materials Science(all)
- Aerospace Engineering
- Mechanics of Materials
- Mechanical Engineering