Sensitivity analysis of the frequency response of a piecewise linear system in a frequency island

JVC/Journal of Vibration and Control

Volumn 10, Issue 2, 2004, Pages 175-198

  Narimani, A ^a   Golnaraghi, M F ^a   Jazar, G Nakhaie ^b  

^a UNIVERSITY OF WATERLOO   (Canada)

^b NORTH DAKOTA STATE UNIVERSITY   (United States)

Author keywords

Frequency response; Piecewise linear system; Vibration isolator

Indexed keywords

COMPUTER SIMULATION; SENSITIVITY ANALYSIS; SHAFT DISPLACEMENT; SUSPENSIONS (COMPONENTS); VIBRATIONS (MECHANICAL);

MODIFIED AVERAGING METHOD; PIECEWISE LINEAR SYSTEM; RELATIVE DISPLACEMENT; VIBRATION ISOLATOR;

FREQUENCY RESPONSE;

EID: 1342312276     PISSN: 10775463     EISSN: None     Source Type: Journal    
DOI: 10.1177/107754604773732142     Document Type: Article

References (23)

1. Babitsky, V. I. and Krupenin, V. L., 2001, Vibration of Strongly Nonlinear Discontinuous Systems, Springer, NY.
2. Bogoliuboff, N. N., 1945, On Some Statistical Methods in Mathematical Physics, USSR Academy of Sciences (in Russian).
3. Bogoliuboff, N. N., 1950, Theory of Perturbations in Nonlinear Mechanics, Institute for Structural Mechanics, UkrSSR Academy of Sciences, Collection of Papers, No. 14, pp. 9-34 (in Russian).
4. Carnahan, B., Luther, H. A., and Wilkes, J. O., 1969, Applied Numerical Analysis, Addison-Wesley, Reading, MA.
5. Den Hartog, J. P. and Heiles, R. M., 1936, "Forced vibration in nonlinear systems with various combinations of linear springs," Transactions of the ASME Journal of Applied Mechanics 58, 127-130.
6. Den Hartog, J. P. and Mikina, S. J., 1932, "Forced vibrations with nonlinear spring constraints," Transactions of the ASME, 54, 157 (paper APM-54-15).
7. Gurtin, M. E., 1992, "On the use of clearance in viscous dampers to limit high frequency force transmission," Transactions of the ASME, Journal of Engineering for Industry (February) 50-52.
8. Iwan, W. D., 1973, "A generalization of the concept of equivalent linearization," International Journal of Non-Linear Mechanics 8, 279-287.
9. Loud, W. S., 1968, "Branching phenomena for periodic solutions of non-autonomous piecewise linear systems," International Journal of Non-Linear Mechanics 3, 273-293.
10. Masri, S. F., 1965, "Analytical and experimental studies of impact dampers," Ph.D. Thesis, California Institute of Technology.
11. Masri, S. F., 1978, "Analytical and experimental studies of a dynamic system with a gap," Transactions of the ASME, Journal of Mechanical Design 100, 480-486.
12. Masri, S. F. and Stott, S. J., 1978, "Random excitation of a nonlinear vibration neutralizer," Transactions of the ASME, Journal of Mechanical Design 100, 681-689.
13. Nakhaie Jazar, G. and Golnaraghi, M. F., 2001, "Steady-state vibrations of a piecewise linear system," in 18th ASME Biennial Conference on Mechanical Vibration and Noise, Pittsburgh, PA, September 9-12.
14. Natsiavas, S., 1991, "Dynamic of piecewise linear oscillators with Van der Pol type damping," International Journal of Non-Linear Mechanics 26(3/4), 349-366.
15. Natsiavas, S. and Gonzalez, H., 1992, "Vibration of harmonically excited oscillators with asymmetric constraints," ASME, Journal of Applied Mechanics 59, S284-S290.
16. Natsiavas, S., 1998, "Stability of piecewise linear oscillations with viscous and dry friction damping," Journal of Sound and Vibration 217(3), 507-522.
17. Nguyen, D. T., Noah, S. T., and Kettlebrough, C. F., 1986a, "Impact behavior of an oscillator with limiting stops, part I: A parametric study," Journal of Sound and Vibration 109(2), 293-307.
18. Nguyen, D. T., Noah, S. T., and Kettlebrough, C. F., 1986b, "Impact behavior of an oscillator with limiting stops, part II: Dimensionless design parameters," Journal of Sound and Vibration 109(2), 309-325.
19. Rosenberg, R. M., 1966, "Steady-state forced vibrations," International Journal of Non-Linear Mechanics 1, 95-108.
20. Schulman, J. N., 1983, "Chaos in piecewise linear systems," Physical Review A 28(1), 477-479.
21. Van der Pol, B., 1927, Philosophical Magazine 3, 65-80.
22. Virgin, L. N., 2000, Introduction to Experimental Nonlinear Dynamics, Cambridge University Press, Cambridge, MA.
23. Watanabe, T., 1978, "Forced vibration of a continuous system with nonlinear boundary conditions," ASME, Journal of Mechanical Design 100, 487-491.