On the kineto-elastovibrations of high-speed mechanisms

R. P.S. Han, M. Z.Y. Xu, J. Wuzheng Zu

Research output: Contribution to journalArticlepeer-review

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Abstract

The kineto-elastovibration (KEV) of high-speed mechanisms is revisited via a new but systematic approach. It is based on a finite element procedure and involves a kinetic energy representation of the axial foreshortening effects due to the elastic transverse deflection of a flexible member. In contrast, the presently established methods incorporate these effects into the potential energy expression. The equations of motion are derived in their most general form via Lagrange's equation, to include the effects of Coriolis, tangential, normal and pseudo-normal † Defined later. accelerations. Explicit expressions for the resulting mass, gyroscopic and stiffness matrices associated with these extra acceleration terms are also given. Also presented are the results of numerical simulations which examine the influence of these acceleration terms on the eigenvalues and eigenvectors in high-speed flexible mechanisms.

Original languageEnglish
Pages (from-to)769-785
Number of pages17
JournalInternational Journal of Mechanical Sciences
Volume35
Issue number9
DOIs
StatePublished - Sep 1993

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