Effect of Two-to-One Internal Resonances in a Nonlinearly Restrained Fluid Valve

[+] Author and Article Information
G. Anlaş

Department of Mechanical Engineering, Boğaziçi University, 80815, Bebek, Istanbul, Turkey

J. Vib. Acoust 121(1), 59-63 (Jan 01, 1999) (5 pages) doi:10.1115/1.2893948 History: Received September 01, 1996; Online February 26, 2008


The effect of two-to-one internal resonances on the nonlinear response of a pressure relief valve is studied. The fluid valve is modeled as a distributed parameter system at one end and nonlinearly restrained at the other. The method of multiple scales is used to solve the system of partial differential equation and boundary conditions. Frequency-response curves are presented for the primary resonance of either mode in the presence of a two-to-one internal resonance. Stability of the steady-state solutions is investigated. Parameters of the system leading to two-to-one internal resonances are tabulated.

Copyright © 1999 by The American Society of Mechanical Engineers
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