An efficient computational scheme for the analysis of periodic systems

Journal of Sound and Vibration

Volumn 151, Issue 1, 1991, Pages 91-117

  Sinha, S C ^a   Wu, D H ^a  

^a AUBURN UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

DYNAMICS;

OSCILLATING SYSTEMS; PERIODIC SYSTEMS; RUNGE-KUTTA CODES; STABILITY ANALYSIS;

MATHEMATICAL TECHNIQUES;

EID: 0026260006     PISSN: 0022460X     EISSN: 10958568     Source Type: Journal    
DOI: 10.1016/0022-460X(91)90654-3     Document Type: Article

References (32)

1. Infinite determinant methods for stability analysis of periodic-coefficient differential equations
2. Application of the Floquet transition matrix to problems of lifting rotor stability
3. Application of the theory of impulsive parametric excitation and new treatments of general parametric excitation problems
4. On approximating a general linear periodic system
5. Stability analysis of systems with periodic coefficients: an approximate approach
6. Efficient numerical treatment of periodic systems with application to stability problems
7. Practical solution of linear equations with periodic coefficients
8. On computing Floquet transition matrices of rotorcraft
9. Some analysis methods for rotating systems with periodic coefficients
10. Numerical methods for determining the stability and response of periodic systems with applications to helicopter rotor dynamics and aeroelasticity
11. Solution of linear dynamic systems by generalized orthogonal polynomials
12. Chebyshev series analysis and identification of scaled systems
13. Shifted Legendre series analysis of linear optimal control systems incorporating observers
14. Double-shifted Chebyshev series for convolution integral and integral equations
15. Analysis of linear time-varying systems and bilinear systems via shifted Chebyshev polynomials of the second kind
16. Multiplication of generalized polynomials with application to classical orthogonal polynomials
17. A comparative study of the operational matrices of integration polynomial series
18. An approximate analysis of transient response of time-dependent linear systems by orthogonal polynomials
19. Parametric instability of clamped-clamped and clamped-simply supported columns under periodic axial load
20. Error analysis of the Chebyshev series solution of linear time invariant systems