Saddle-node bifurcations of cycles in a relief valve

Nonlinear Dynamics

Volumn 22, Issue 3, 2000, Pages 225-247

  Maccari, Attilio ^a  

^a Istituto Tecnico G Cardano   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

ASYMPTOTIC STABILITY; BOUNDARY CONDITIONS; DYNAMIC LOADS; FREQUENCY RESPONSE; HYSTERESIS; INTEGRATION; ITERATIVE METHODS; PARTIAL DIFFERENTIAL EQUATIONS; PHASE MODULATION; RESONANCE; VIBRATIONS (MECHANICAL);

COMBINATION RESONANCES; SADDLE-NODE BIFURCATIONS; SUBHARMONIC RESONANCES;

PRESSURE RELIEF VALVES;

EID: 0033686534     PISSN: 0924090X     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1008349500673     Document Type: Article

References (9)

1. Johnson, B. L. and Wanding, D. E., 'Actual popping pressure of a relief valve with a real helical spring under dynamic load', Journal of Engineering Industries 91, 1969, 1142-1146.
2. Dokainish, M. A. and Elmadany, M. M., 'On the non-linear response of a fluid valve', Journal of Applied Mechanics 100, 1978, 675-680.
3. Nakashima, T., Shiramoto, K., Kondo, T., and Sasaguchi, K., 'A study on unstable phenomenon and resonance of a pressure regulating valve', Bulletin of the Japan Society of Mechanical Engineers 29, 1986, 459-465.
4. Nayfeh, A. H. and Bouguerra, H., 'Non-linear response of a fluid valve', International Journal of Non-Linear Mechanics 25, 1990, 433-449.
5. Nayfeh, A. H., Nayfeh, J. F., and Mook, D. T., 'On methods for continuous systems with quadratic and cubic nonlinearities', Nonlinear Dynamics 3, 1992, 145-162.
6. Nayfeh, A. H. and Mook, D. T., Nonlinear Oscillations, Wiley, New York, 1979.
7. Nayfeh, A. H., Introduction to Perturbation Techniques, Wiley-Interscience, New York, 1981.
8. Maccari, A., 'Dissipative bidimensional systems and resonant excitations', International Journal of Non-Linear Mechanics 33, 1998, 713-726.
9. Maccari, A., 'Approximate solution of a class of nonlinear oscillators in resonance with a periodic excitation', Nonlinear Dynamics 15, 1998, 329-343.