On efficient computation of the steady-state response of linear systems with periodic coefficients

Journal of Vibration and Acoustics, Transactions of the ASME

Volumn 118, Issue 3, 1996, Pages 522-525

  Selstad, T J ^a   Farhang, K ^a  

^a SOUTHERN ILLINOIS UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; APPROXIMATION THEORY; CALCULATIONS; COMPUTER SIMULATION; CONVERGENCE OF NUMERICAL METHODS; DIFFERENTIAL EQUATIONS; ERROR ANALYSIS; INTEGRATION; MACHINERY; NUMERICAL METHODS; PERSONAL COMPUTERS; SYSTEMS ANALYSIS;

FOURTH ORDER RUNG-KUTTA FORMULATION; LINEAR SYSTEMS; PERIODIC COEFFICIENTS; PERIODICITY CONDITION; STEADY STATE RESPONSE;

MECHANICS;

EID: 0030193191     PISSN: 10489002     EISSN: 15288927     Source Type: Journal    
DOI: 10.1115/1.2888216     Document Type: Article

References (10)

1. Butcher, J. C, 1987, The Numerical Analysis of Ordinary Differential Equations, Wiley, New York, New-York.
2. Cameron T. M., and Griffin, J. H., 1989, “An Alternating Frequency/Time Domain Method for Calculating the Steady-State Response of Nonlinear Dynamic Systems,” ASME Journal of Applied Mechanics, Vol. 56, pp. 149-154.
3. Chivate, P. N., and Farhang, K., 1993, “Effect of Coupler Material Damping on Steady-State Response Calculation of Elastic Mechanisms,” Dynamics and Vibration of Time-Varying Systems and Structures, DE-Vol. 56, ASME, pp. 139-146.
4. Erdman, A. G., ed., 1993, Modern Kinematics: Developments in the Last Forty Years, Wiley, New York, New-York.
5. Farhang K., 1989, “Analytical and Experimental Parametric Vibration Stability Studies in Elastic Mechanisms,” Ph.D. Dissertation, Purdue University, West Lafayette,-Indiana.
6. Farhang K., and Midha, A., 1995, “Steady-State Response of Periodically Time-Varying Linear Systems, With Application to an Elastic Mechanism,” ASME Journal of Mechanical Design, Vol. 117, pp. 633-639.
7. Friedmann, P., Hammond, C. E., and Woo, T. H., 1977, “Efficient Numerical Treatment of Periodic Systems with Application to Stability Problems,” International Journal of Numerical Methods in Engineering, Vol. 11, pp. 1117-1136.
8. Hsu, C. S., 1974, “On Approximating a General Linear Periodic System,” Journal of Mathematics Analysis and Applications, Vol. 45, pp. 234-251.
9. Rodrigues, P. J. C, Howes, M. J., and Richardson, J. R., “Efficient Computation of the Steady-State Response of Periodic Nonlinear Microwave Circuits Using a Convolution-Based Sample-Balance Technique,” IEEE Transactions on Microwave Theory and Techniques, Vol. 39, pp. 732-737.
10. Sinha, S. C, and Wu, D. H., “An Efficient Computational Scheme for the Analysis of Periodic Systems,” Journal of Sound and Vibration, Vol. 151, pp. 91-117.