The Matrix Theory of Torsional Oscillations
- 1 July 1942
- journal article
- Published by AIP Publishing in Journal of Applied Physics
- Vol. 13 (7) , 434-444
- https://doi.org/10.1063/1.1714891
Abstract
The general case of vibration of a shaft with several rotating masses is discussed. The analysis is reduced to a simple matrix multiplication of second-order matrices and the natural frequencies of symmetrical systems are discussed. The connection of the matrix method and the well-known Holzer method of computing the natural frequencies of torsional oscillations is considered. The analysis of geared systems and continuous shafts is discussed.This publication has 3 references indexed in Scilit:
- XXXV. The matrix theory of four-terminal networksJournal of Computers in Education, 1940
- Equations of Finite Differences Applied to Torsional Oscillations of CrankshaftsJournal of Applied Physics, 1940
- Vibration of Crankshaft-Propeller Systems. New Method of CalculationJournal of the Aeronautical Sciences, 1940