Evaluation of ultrasound technique for solid-propellant burning-rate response measurements

The development of an ultrasound technique for precisely measuring the instantaneous regression rate of a solid-rocket propellant under transient conditions is reviewed. The technique is used to measure the burning-rate response of several solid propellants to an oscillatory chamber pressure with a frequency of up to 300 Hz. This measurement is known as the propellant's pressure-coupled response function and is used as an input into rocket stability prediction models. The ultrasound waveforms are analyzed using cross-correlation and other digital signal processing techniques to determine burning rate. Digital methods are less prone to bias and offer greater flexibility than other techniques previously used. The resulting data are corrected for compression effects. The effects of a changing thermal profile on the measurement are discussed. Other phenomena that may corrupt the measurement, such as surface roughness, are also covered. Results of the experiments are compared to data from two other measurement techniques: a T-burner and a magnetic flowmeter.

[1]  Jin-Yeon Kim,et al.  Dispersion of elastic waves in random particulate composites , 1995 .

[2]  P. H. White Cross Correlation in Structural Systems: Dispersion and Nondispersion Waves , 1969 .

[3]  Lawrence E. Kinsler,et al.  Fundamentals of acoustics , 1950 .

[4]  F. Cauty,et al.  INTERNAL INSULATION AND SOLID PROPELLANT BEHAVIOR MEASURED BY ULTRASONIC METHOD ON SOLID ROCKET MOTORS , 1997 .

[5]  Ultrasonic regression rate measurement in solid fuel ramjets , 1990 .

[6]  Fred E. C. Culick,et al.  A review of calculations for unsteady burning of a solid propellant. , 1968 .

[7]  R. Stacer,et al.  Small deformation viscoelastic response of gum and highly filled elastomers , 1990 .

[8]  J. Hassab,et al.  Analysis of discrete implementation of generalized cross correlator , 1981 .

[9]  G. Carter Time delay estimation , 1976 .

[10]  E. Duncan,et al.  Comparison of the uniaxial tensile modulus and dynamic shear storage modulus of a filled hydroxy-terminated polybutadiene and GAP propellant , 1996, Journal of Materials Science.

[11]  J. Ferry Viscoelastic properties of polymers , 1961 .

[12]  P. Korting,et al.  Advanced hybrid rocket motor experiments , 1987 .

[13]  C. Bert,et al.  On wave propagation in random particulate composites , 1983 .

[14]  Robert A. Frederick,et al.  Direct Ultrasonic Measurement of Solid Propellant Combustion Transients , 1999 .

[15]  D. Etter,et al.  Adaptive estimation of time delays in sampled data systems , 1981 .

[16]  Joseph C. Hassab,et al.  A probabilistic analysis of time delay extraction by the cepstrum in stationary Gaussian noise , 1976, IEEE Trans. Inf. Theory.

[17]  A. Grennberg,et al.  Estimation of subsample time delay differences in narrowband ultrasonic echoes using the Hilbert transform correlation , 1994, IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control.

[18]  N. Holmer,et al.  A robust correlation receiver for distance estimation , 1994, IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control.

[19]  Steven F. Son,et al.  Linear Burning Rate Dynamics of Solids Subjected to Pressure or External Radiant Heat Flux Oscillations , 1993 .

[20]  J. Bendat,et al.  Random Data: Analysis and Measurement Procedures , 1971 .

[21]  R. Christensen Theory of viscoelasticity : an introduction , 1971 .

[22]  Herman Krier,et al.  Ultrasonic measurement of the pressure-coupled response function at low frequency for composite solid propellants , 2002 .

[23]  Donald G. Childers,et al.  Signal detection and extraction by cepstrum techniques , 1972, IEEE Trans. Inf. Theory.

[24]  Rudy Moddemeijer On the determination of the position of extrema of sampled correlators , 1991, IEEE Trans. Signal Process..

[25]  R. Saglio,et al.  Ultrasonic signal processing for thickness measurements and detection of near-surface defects , 1986 .

[26]  Gaetano Scarano,et al.  Discrete time techniques for time delay estimation , 1993, IEEE Trans. Signal Process..

[27]  A. Adicoff,et al.  Effect of tensile strain on the use of the WLF equation , 1970 .

[28]  Franck Cauty Solid-Propellant Combustion Response Function from Direct Measurement Methods: ONERA Experience , 1999 .

[29]  R. Frederick,et al.  Determination of the ultrasonic burning rate technique resolution , 1998 .

[30]  L. Piché,et al.  High resolution ultrasonic interferometry for quantitative nondestructive characterization of interfacial adhesion in multilayer (metal/polymer/metal) composites , 1993 .

[31]  W.D. O'Brien,et al.  Pulsed Doppler accuracy assessment due to frequency-dependent attenuation and Rayleigh scattering error sources , 1990, IEEE Transactions on Biomedical Engineering.

[32]  E. B. Becker,et al.  Constitutive Equations for Solid Propellants , 1997 .

[33]  A. T. Dibenedetto,et al.  The glass transition temperature of filled polymers and its effect on their physical properties , 1969 .

[34]  Emmanuel P. Papadakis,et al.  5 – Ultrasonic Velocity and Attenuation: Measurement Methods with Scientific and Industrial Applications , 1976 .

[35]  J. Traineau,et al.  Ultrasonic Measurements of Solid Propellant Burning Rates in Nozzleless Rocket Motors , 1986 .