A LUMPED MASS MODEL FOR PARAMETRIC INSTABILITY ANALYSIS OF CANTILEVER SHAFT–DISK SYSTEMS

✍ Scribed by HONG-CHENG SHEU; LIEN-WEN CHEN

• Publisher: Elsevier Science
• Year: 2000
• Tongue: English
• Weight: 270 KB
• Volume: 234
• Category: Article
• ISSN: 0022-460X
• DOI: 10.1006/jsvi.2000.2865

✦ Synopsis

A lumped mass model is proposed to study the parametric instability of a cantilever shaft}disk system subjected to axial and follower loads, respectively. In the present study, a set of linearized sti!ness in#uence coe$cients of a longitudinally loaded cantilever shaft is derived. The mathematical model also takes into account the e!ect of shear deformation. Because linearized sti!ness in#uence coe$cients are used, the governing di!erential equations of the system become a set of coupled Mathieu}Hill equations. By the use of Bolotin's method, the equation of boundary frequencies can be obtained and is used to determine the boundaries between stable and unstable regions. As compared to the unstable regions obtained from "nite element method, the present results show not only good agreement with them, but also much easier to construct the unstable regions. From the result of numerical simulations, several destabilizing factors of the rotational cantilever shaft}disk system are found.