TY - GEN
T1 - Analysis of in-plane modal characteristics of an annular disk with multiple point supports
AU - Bashmal, S.
AU - Bhat, R.
AU - Rakheja, S.
PY - 2010
Y1 - 2010
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=77954293125&partnerID=8YFLogxK
U2 - 10.1115/IMECE2009-10033
DO - 10.1115/IMECE2009-10033
M3 - Conference contribution
AN - SCOPUS:77954293125
SN - 9780791843888
T3 - ASME International Mechanical Engineering Congress and Exposition, Proceedings
SP - 321
EP - 329
BT - Proceedings of the ASME International Mechanical Engineering Congress and Exposition 2009, IMECE 2009
PB - American Society of Mechanical Engineers (ASME)
T2 - 2009 ASME International Mechanical Engineering Congress and Exposition, IMECE2009
Y2 - 13 November 2009 through 19 November 2009
ER -