Effects of Diaphragm Compliance on Spring-Diaphragm Pressure Regulator Dynamics

[+] Author and Article Information
Mont Hubbard

Department of Mechanical and Aeronautical Engineering, University of California, Davis, CA 95616

J. Dyn. Sys., Meas., Control 124(2), 290-296 (May 10, 2002) (7 pages) doi:10.1115/1.1470174 History: Received May 30, 2000; Online May 10, 2002
Copyright © 2002 by ASME
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Schematic diagram of spring-diaphragm pressure regulator. Motion of orifice cover plate (supported by annular diaphragm and spring) modulates the return flow resistance and enforces nearly constant pressure difference between fuel and reference manifold pressures. Transverse diaphragm deflection acts as a fluid compliance.
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Annular bladder deflection is independent of θ
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Radial deflection u of bladder differential element is typically negligible compared to transverse deflection w
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Bladder differential element with stress resultants
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Bladder compliance relation; stored volume versus pressure for specific bladder parameters in Table 1 and three elastic moduli
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Force from bladder on cover plate in direction of motion versus pressure for parameters in Table 1 and a particular elastic modulus
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Bladder shape caused by pressure Δp=200000 Pa
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Bond graph model of pressure regulator dynamics
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Regulator pressure, bladder stretch volume, orifice cover plate position and drain flow versus time for parameters in Table 1 in response to small initial condition deviation from equilibrium at pd=1 atm,po=0.3 atm,p=2 atm
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Root locus of linearized regulator eigenvalues as a function of elastic modulus 107<E<1010 Pa. Asterisks correspond to E=107, and square boxes to each successive power of 10. The frequency of the complex eigenvalues increases by about a factor of 10 with increases in E while the dominant real eigenvalue remains relatively unchanged at 250 rad/s.




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