Gibbs-phenomenon-free Fourier series for vibration and stability of complex beams

AIAA Journal

Volumn 39, Issue 10, 2001, Pages 1977-1984

  Fan, S C ^a   Zheng, D Y ^a   Au, F T K ^b  

^a NANYANG TECHNOLOGICAL UNIVERSITY   (Singapore)

^b UNIVERSITY OF HONG KONG   (Hong Kong)

Author keywords

[No Author keywords available]

Indexed keywords

BEAMS AND GIRDERS; BOUNDARY CONDITIONS; FOURIER TRANSFORMS; MATHEMATICAL MODELS; POLYNOMIALS; STABILITY; VIBRATIONS (MECHANICAL);

FREE FOURIER SERIES; GIBBS PHENOMENON; INTRINSIC DISCONTINUITIES;

STRUCTURAL ANALYSIS;

EID: 0035474973     PISSN: 00011452     EISSN: None     Source Type: Journal    
DOI: 10.2514/2.1188     Document Type: Article

References (14)

1. Gibbs phenomenon in structural mechanics
2. Elimination of Gibbs' phenomenon from error analysis of finite element results
3. On the Gibbs phenomenon and its resolution
4. On Gibbs-phenomenon-free fourier solution for finite shear-flexible laminated clamped curved panels
5. Resolution of the Gibbs phenomenon for 'spliced' functions in one and two dimensions
6. Convergence and Gibbs' phenomenon in cubic spline interpolation of discontinuous functions
7. Practical integral transforms in engineering
8. Vibration and stability analysis of plate-type structures under moving loads by analytical and numerical methods
9. Natural frequencies of a beam with an arbitrary number of cracks
10. Natural frequencies and buckling loads of beam-columns stiffened by rings
11. 1modified beam vibration functions
12. Analysis of pavements and layered foundations by finite layer method