Hybrid stiff-string-polynomial basis functions for vibration analysis of high speed rotating beams

Authors:
Jagadish Babu Gunda;R. K. Gupta;Ranjan Ganguli
Affiliations:
Advanced Systems Laboratory, Kanchan Bagh, Hyderabad 500 058, India;Advanced Systems Laboratory, Kanchan Bagh, Hyderabad 500 058, India;Department of Aerospace Engineering, Indian Institute of Science, Bangalore 560 012, India
Venue:
Computers and Structures
Year:
2009

Citing 3
Cited 3

The physics of vibrating strings

Computers in Physics
Series solutions of coupled differential equations with one regular singular point

Journal of Computational and Applied Mathematics - Special issue: Proceedings of the 9th International Congress on computational and applied mathematics
Concepts and Applications of Finite Element Analysis

Concepts and Applications of Finite Element Analysis

Vibration analysis of a cracked rotating tapered beam using the p-version finite element method

Finite Elements in Analysis and Design
Beam element with spatial variation of material properties for multiphysics analysis of functionally graded materials

Computers and Structures
Violin string shape functions for finite element analysis of rotating Timoshenko beams

Finite Elements in Analysis and Design

Quantified Score

Hi-index	0.00

Visualization

Abstract

A new finite element is developed for free vibration analysis of high speed rotating beams using basis functions which use a linear combination of the solution of the governing static differential equation of a stiff-string and a cubic polynomial. These new shape functions depend on rotation speed and element position along the beam and account for the centrifugal stiffening effect. The natural frequencies predicted by the proposed element are compared with an element with stiff-string, cubic polynomial and quintic polynomial shape functions. It is found that the new element exhibits superior convergence compared to the other basis functions.