A hybrid formulation for the analysis of time-periodic linear systems via Chebyshev polynomials

Journal of Sound and Vibration

Volumn 195, Issue 3, 1996, Pages 518-527

  Butcher, E A ^a   Sinha, S C ^a  

^a NONE

Author keywords

[No Author keywords available]

Indexed keywords

CHEBYSHEV APPROXIMATION; DIFFERENTIATION (CALCULUS); INTEGRATION; LINEAR ALGEBRA; MATHEMATICAL MODELS; MATRIX ALGEBRA; POLYNOMIALS; STATE SPACE METHODS;

CHEBYSHEV POLYNOMIALS; FLOQUET TRANSITION MATRIX; HYBRID FORMULATION; INTEGRAL FORMULATION; MATHIEU EQUATIONS; PRODUCT OPERATIONAL MATRICES; TIME PERIODIC LINEAR SYSTEMS;

DIFFERENTIAL EQUATIONS;

EID: 0030217047     PISSN: 0022460X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jsvi.1996.0441     Document Type: Editorial

References (12)

1. J.-H. CHOU and I.-R. HORNG 1985 International Journal of Control 41(1), 135-144. Application of Chebyshev polynomials to the optimal control of time-varying linear systems.
2. J. VLASSENBROECK and R. VAN DOOREN 1988 IEEE Transactions on Automatic Control 33(4), 333-340. A Chebyshev technique for solving nonlinear optimal control problems.
3. S. C. SINHA and C. C. CHOU 1976 Journal of Sound and Vibration 49, 309-326. An approximate analysis of transient response of time-dependent linear systems by orthogonal polynomials.
4. S. C. SINHA, C. C. CHOU and H. H. DENMAN 1979 Journal of Sound and Vibration 64, 515-527. Stability analysis of systems with periodic coefficients: an approximate approach.
5. S. C. SINHA and D.-H. WU 1991 Journal of Sound and Vibration 151, 91-117. An efficient computational scheme for the analysis of periodic systems.
6. D.-H. WU and S. C. SINHA 1994 Aeronautical Journal of the Royal Aeronautical Society January, 9-16. A new approach in the analysis of linear systems with periodic coefficients for applications in rotorcraft dynamics.
7. S. C. SINHA and E. A. BUTCHER 1996 Mathematical Problems in Engineering 2, 165-190. Solution and stability of a set of pth order linear differential equations with periodic coefficients via Chebyshev polynomials.
8. D. A. PETERS 1995 Journal of Sound and Vibration 188, 617-634. Some observations on the Sinha approach to dynamic response calculations, and authors' reply.
9. L. FOX and I. B. PARKER 1968 Chebyshev Polynomials in Numerical Analysis. Oxford: Oxford University Press.
10. M. A. SNYDER 1966 Chebyshev Methods in Numerical Approximation. Englewood Cliffs, NJ: Prentice-Hall.
11. S. C. SINHA, T.-S. LIU and N. R. SENTHILNATHAN 1992 Archive of Applied Mechanics 62, 347-360. A new computational technique for the stability analysis of slender rods.
12. S. C. SINHA, D.-H. WU, V. JUNEJA and P. JOSEPH 1993 Journal of Vibration and Acoustics 115, 96-102. Analysis of dynamic systems with periodically varying parameters via Chebyshev polynomials.