Asymptotic states of a bilinear hysteretic oscillator in a fully dissipative phase space

Journal of Sound and Vibration

Volumn 218, Issue 3, 1998, Pages 548-557

  Judge, J ^a   Pratap, R ^b  

^a UNIVERSITY OF MICHIGAN   (United States)

^b INDIAN INSTITUTE OF SCIENCE   (India)

Author keywords

[No Author keywords available]

Indexed keywords

DAMPING; DYNAMIC RESPONSE; ELASTOPLASTICITY; KINEMATICS; MATHEMATICAL MODELS; OSCILLATIONS; PHASE SPACE METHODS;

BILINEAR HYSTERETIC OSCILLATORS; KINEMATIC HARDENING;

STRUCTURAL ANALYSIS;

EID: 0032480861     PISSN: 0022460X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jsvi.1998.1788     Document Type: Editorial

References (11)

1. R. TANABASHI 1956 World Conference on Earthquake Engineering, Proceedings, Berkeley, California 6-1 - 6-7. Studies on nonlinear vibration of structures subjected to destructive earthquakes.
2. T. K. CAUGHEY 1960 Transactions of the American Society of Mechanical Engineers, Journal of Applied Mechanics 27, 640-643. Sinusoidal excitation of a system with bilinear hysteresis.
3. G. BALLIO 1970 Meccanica 5, 85-97. On the dynamic behavior of an elastoplastic oscillator (experimental investigation and theoretical developments).
4. J. H. DREW 1972 International Journal of Nonlinear Mechanics 7, 93-99. Periodic solutions of a forced system with hysteresis.
5. J. R. MAYS 1969 The Shock and Vibration Bulletin 40, 81-88. Propagation of yielding in a bilinear hysteresis beam and distributed foundation under dynamic pulse loading.
6. M. A. SAVI and P. M. C. L. PACHECO 1997 Journal of Sound and Vibration 207, 207-226. Non-linear dynamics of an elasto-plastic oscillator with kinematic and isotropic hardening.
7. R. PRATAP, S. MUKHERJEE and F. C. MOON 1994 Journal of Sound and Vibration 172, 339-358. Dynamic behavior of a bilinear hysteretic elastoplastic oscillator, part II: oscillations under periodic impulse forcing.
8. R. PRATAP and P. J. HOLMES 1995 Nonlinear Dynamics 8, 113-139. Chaos in a mapping describing elastoplastic oscillations.
9. P. S. SYMONDS, J. F. MCNAMARA and F. GENNA 1986 International Journal of Impact Engineering 4, 73-82. Vibrations and permanent displacement of a pinended beam deformed plastically by short pulse excitation.
10. R. PRATAP, S. MUKHERJEE and F. C. MOON 1994 Journal of Sound and Vibration 172, 321-337. Dynamic behavior of a bilinear hysteretic elastoplastic oscillator, part I: free oscillations.
11. S. W. SHAW and P. J. HOLMES 1983 Journal of Sound and Vibration 90, 129-155. A periodically forced piecewise linear oscillator.