General solution of the forced in-plane vibration problem for a spinning disk

Natalie Baddour, Jean W. Zu

Research output: Contribution to journalArticlepeer-review

4 Scopus citations

Abstract

The general in-plane problem for a spinning disk is considered. Orthogonality properties of the free-motion mode shapes are derived by recasting the problem in state-space. These orthogonality properties permit a practical and insightful formulation to the general solution of the forced in-plane vibration problem. The general free vibration response under general initial conditions is derived. In addition, the forced vibration response with constant and harmonic forcing functions is considered to illustrate the solution method.

Original languageEnglish
Pages (from-to)307-321
Number of pages15
JournalTransactions of the Canadian Society for Mechanical Engineering
Volume24
Issue number1 B
DOIs
StatePublished - 2000

Fingerprint

Dive into the research topics of 'General solution of the forced in-plane vibration problem for a spinning disk'. Together they form a unique fingerprint.

Cite this