Analysis of in-plane modal characteristics of an annular disk with multiple point supports

S. Bashmal*, R. Bhat, S. Rakheja

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

In-plane free vibrations of an isotropic, elastic annular disk constrained at some points on the inner and outer boundaries are investigated. The presented study is relevant to various practical problems including disks clamped by bolts along the inner and outer edges or the railway wheel vibrations. The boundary characteristic orthogonal polynomials are employed in the Rayleigh-Ritz method to obtain the frequency parameters and the associated mode shapes. The boundary characteristic orthogonal polynomials are generated for the free boundary conditions of the disk while artificial springs are used to realize clamped conditions at discrete points. The frequency parameters for different point constraint conditions are evaluated and compared with those computed from a finite element model to demonstrate the validity of the proposed method. The computed mode shapes are presented for a disk with different point constraints at the inner and outer boundaries to demonstrate the free in-plane vibration behavior of the disk. Results show that addition of point supports causes some of the modes to split into two different frequencies with different mode shapes. The effects of different orientations of multiple point supports on the frequency parameters and mode shapes are also discussed.

Original languageEnglish
Title of host publicationProceedings of the ASME International Mechanical Engineering Congress and Exposition 2009, IMECE 2009
PublisherAmerican Society of Mechanical Engineers (ASME)
Pages321-329
Number of pages9
ISBN (Print)9780791843888
DOIs
StatePublished - 2010
Externally publishedYes
Event2009 ASME International Mechanical Engineering Congress and Exposition, IMECE2009 - Lake Buena Vista, FL, United States
Duration: 13 Nov 200919 Nov 2009

Publication series

NameASME International Mechanical Engineering Congress and Exposition, Proceedings
Volume15

Conference

Conference2009 ASME International Mechanical Engineering Congress and Exposition, IMECE2009
Country/TerritoryUnited States
CityLake Buena Vista, FL
Period13/11/0919/11/09

ASJC Scopus subject areas

  • Mechanical Engineering

Fingerprint

Dive into the research topics of 'Analysis of in-plane modal characteristics of an annular disk with multiple point supports'. Together they form a unique fingerprint.

Cite this