On the stability of nonlinear operator differential equations, and applications
Stability of nonlinear operator differential equations
SEARCH · Engineering Papers
Search indexed NASA NTRS and DOE OSTI research on propulsion, heat transfer, battery materials and energy systems. Follow report and document links to the original sources.
Quote a phrase for an exact phrase match. Source license links do not imply unrestricted reuse.
Stability of nonlinear operator differential equations
Insulated gate field effect transistor with adaptive and memory characteristics
Spectral analysis techniques applied to Lighthill aerodynamic sound equation for unified jet noise theory
Stability theory of nonlinear operational differential equations in Hilbert spaces
Laser communication and Stark modulation of CO2 laser, competition between transitions in CO2 laser, and very high resolution inverted Lamb dip spectra of SF6
Existence and uniqueness, stability and asymptotic stability of nonlinear operator differential equation
Existence and stability problems of nonlinear operator differential equations containing linear operator with domain and range contained in real Hilbert space
Jet noise theory application in noise prediction and reduction at source for subsonic and supersonic jets
Analytic functions and fluid mechanics for noise propagation in supersonic jet exhaust flow
Analytical predictions of supersonic jet noise, considering acoustic intensity, directivity, refraction, convection and peak Strouhal number
Stark effect saturable absorber modulation of passively Q switched carbon dioxide laser, using difluoroethane, difluoroethylene, methyl fluoroform, trichloroethylene and vinyl chloride
Mathematical model for underwater simulation of astronaut extravehicular activities in weightless conditions, using computer program
Three basic equations, acoustic mode and two Mach modes, characterize jet noise environments. These equations are used to predict noise generation magnitude.
The acoustical environment for a high combustion chamber pressure engine was examined in detail, using both conventional and advanced theoretical analysis. The influence of elevated chamber pressure on the rocket noise environment was established, based on increase in exit velocity and flame temperature, and changes in basic engine dimensions. Compared to large rocket engines, the overall sound power level is found to be 1.5 dB higher, if the thrust is the same. The peak Strouhal number shifted about one octave lower to a value near 0.01. Data on apparent sound source location and directivity patterns are also presented.
The computer program and user instructions are presented for the analysis of the natural frequencies and mode shapes of the cylinders. Sample input and output are included.
The molecular Stark effect and its application to the modulation of infrared laser radiation have been investigated both theoretically and experimentally. Using a density matrix approach, a quantum mechanical description of the effect of a time-varying electric field on the absorption coefficient and refractive index of a molecular gas near an absorption line has been formulated. For modulation applications a quantity known as the ?modulation depth' is of prime importance. Theoretical expressions for the frequency dependence of the modulation depth show that the response to the frequency of a time-varying Stark field is separated into a nondispersive and a dispersive region, depending on whether the modulating frequency is less than or greater than the homogeneous absorption linewidth. Experimental results showing nondispersive modulation at frequencies to 30 MHz are presented. In addition it is shown that the response of modulation depth to Stark field amplitude is separated into linear and nonlinear regions, the field at which nonlinearities begin being determined by the absorption spectrum of the molecule being used.
A generalization is presented of Phillips' (1960) theory of noise generation by supersonic turbulent shear layers. Both Mach wave radiation and non-Mach wave noise radiation mechanisms are considered. The range of validity of Phillips' theory has been expanded to include the low supersonic and transonic ranges. These generalizations are important not only for their analytical rigor, but also for their prospective applications to practical problems in jet noise prediction and control. The noise generation mechanisms in a supersonic jet are found to differ from those in a subsonic jet. The theory is considered to offer some prospects of answering important questions in supersonic jet noise, such as noise source distribution, mean flow refraction effects, directivity, spectrum, and efficiency of noise radiation.