A new rotating beam finite element is developed in which the basis functions are obtained by the exact solution of the governing static homogenous differential equation of a stiff string, which results from an approximation in the rotating beam equation. These shape functions depend on rotation speed and element position along the beam and account for the centrifugal stiffening effect. Using this new element and the Hermite cubic finite element, a convergence study of natural frequencies is performed, and it is found that the new element converges much more rapidly than the conventional Hermite cubic element for the first two modes at higher rotation speeds. The new element is also applied for uniform and tapered rotating beams to determine the natural frequencies, and the results compare very well with the published results given in the literature.
Skip Nav Destination
e-mail: ganguli@aero.iisc.ernet.in
Article navigation
March 2008
Technical Briefs
Stiff-String Basis Functions for Vibration Analysis of High Speed Rotating Beams
Jagadish Babu Gunda,
Jagadish Babu Gunda
Department of Aerospace Engineering,
Indian Institute of Science
, Bangalore 560012, India
Search for other works by this author on:
Ranjan Ganguli
Ranjan Ganguli
Mem. ASME
Department of Aerospace Engineering,
e-mail: ganguli@aero.iisc.ernet.in
Indian Institute of Science
, Bangalore 560012, India
Search for other works by this author on:
Jagadish Babu Gunda
Department of Aerospace Engineering,
Indian Institute of Science
, Bangalore 560012, India
Ranjan Ganguli
Mem. ASME
Department of Aerospace Engineering,
Indian Institute of Science
, Bangalore 560012, Indiae-mail: ganguli@aero.iisc.ernet.in
J. Appl. Mech. Mar 2008, 75(2): 024502 (5 pages)
Published Online: February 25, 2008
Article history
Received:
July 12, 2006
Revised:
June 18, 2007
Published:
February 25, 2008
Citation
Gunda, J. B., and Ganguli, R. (February 25, 2008). "Stiff-String Basis Functions for Vibration Analysis of High Speed Rotating Beams." ASME. J. Appl. Mech. March 2008; 75(2): 024502. https://doi.org/10.1115/1.2775497
Download citation file:
Get Email Alerts
Nonlinear Isogeometric Analyses of Instabilities in Thin Elastic Shells Exhibiting Combined Bending and Stretching
J. Appl. Mech (January 2025)
Related Articles
Natural Frequencies of Rotating Uniform Beams with Coriolis Effects
J. Vib. Acoust (October,2001)
The Instability and Vibration of Rotating Beams With Arbitrary Pretwist and an Elastically Restrained Root
J. Appl. Mech (November,2001)
Free Vibrations of a
Rotating Inclined Beam
J. Appl. Mech (May,2007)
Closure to “Discussion on ‘Vibration Analysis of Non-Classically Damped Linear Systems’ ” (2004, ASME J. Vib. Acoust., 126 )
J. Vib. Acoust (February,2005)
Related Proceedings Papers
Related Chapters
Fundamentals of Finite Element and Finite Volume Methods
Compact Heat Exchangers: Analysis, Design and Optimization using FEM and CFD Approach
3D Frame Structural Analysis Based on Imported Geometry at Preprocessing
International Conference on Mechanical and Electrical Technology 2009 (ICMET 2009)
STRUCTURAL RELIABILITY ASSESSMENT OF PIPELINE GIRTH WELDS USING GAUSSIAN PROCESS REGRESSION
Pipeline Integrity Management Under Geohazard Conditions (PIMG)