Method of fan sound mode structure determination computer program user's manual: Microphone location program

A computer user's manual describing the operation and the essential features of the microphone location program is presented. The Microphone Location Program determines microphone locations that ensure accurate and stable results from the equation system used to calculate modal structures. As part of the computational procedure for the Microphone Location Program, a first-order measure of the stability of the equation system was indicated by a matrix 'conditioning' number

Optimal Stabilization using Lyapunov Measures

Numerical solutions for the optimal feedback stabilization of discrete time dynamical systems is the focus of this paper. Set-theoretic notion of almost everywhere stability introduced by the Lyapunov measure, weaker than conventional Lyapunov function-based stabilization methods, is used for optimal stabilization. The linear Perron-Frobenius transfer operator is used to pose the optimal stabilization problem as an infinite dimensional linear program. Set-oriented numerical methods are used to obtain the finite dimensional approximation of the linear program. We provide conditions for the existence of stabilizing feedback controls and show the optimal stabilizing feedback control can be obtained as a solution of a finite dimensional linear program. The approach is demonstrated on stabilization of period two orbit in a controlled standard map

Analysis of Flatness Measurement and Form Stability of a Granite Surface Plate

It is rather difficult to compare quantitatively flatness measuring results of one and the same object (e.g. in case of a long-term stability investigation) or the results of a series of products (e.g. from the same machinetool in order to indicate machinetool-influences). An extension of a computerprogram applied to the evaluation of flatness measurement (as described in the CIRP-Annals, vol. 26 (1977), no.1), separates the form deviations of a surface into a geometrical part and a random part.\ud The geometric part consists of a best-fitting non-flat, reference plane, composed of the single curvature of a sphere and the double curvature of a real twisted plane. Three parameters (the dimensionless curvature parameters of sphericity and torsion, together with the direction of the torsionvector) are able to characterize the geometrical part of the surface; a fourth one is a measure for the random part.\ud Advantages of the method are demonstrated with the aid of a long-term investigation into the form stability of a granite surface plate.\ud Another extension of the program makes it now possible to measure surfaces with non-rectangular contours in the same way as it is being done in case of a rectangular surface plate.\u

A geostatistical calculation of the Coal Mine Roof Rating

In this thesis, the need for an efficient and easy to use program which calculates a Coal Mine Roof Rating (CMRR) over a spatial area is established. In response to this need, a program which enables for the geostatistical calculation of the CMRR over a spatial area was developed as an engineering tool to quantify the geo-mechanical stability of the roof rock within the bolted horizon of a coal mine through the utilization of one of the more widely available geologic model data formats.;The CMRR program utilizes the popular AutoCAD/SurvCADD platform and grid data format as a foundation for inputting the geologic characteristics necessary to calculate a CMRR. Through this feature the user can generate areal CMRR stability information from drill holes, SurvCADD geology grids and/or underground observations. This areal CMRR input can then be individually plotted for interpretation or combined with other geologic, structural and stress-based factors in order to generate an overall stability factor for the mine.;Upon completion of the program, a case study was performed in order to identify any shortcomings or additional needs that had not been previously identified. The case study utilized both the areal CMRR calculation and the integration of the CMRR program with a previously developed stability mapping package to create a stability map for the mine. Agreement was found between the resultant stability map and the field observations.;In the conclusion of this thesis it appears that the CMRR program can and will serve as a useful tool for the mining engineer in the evaluation of coal measure roof rock over a large spatial area. Through its application, both the mine engineer and the mine personnel can benefit from the increased knowledge of the coal measure roof rock being studied and the increased safety which that brings

Halogen Occultation Experiment (HALOE) optical filter characterization

The Halogen Occultation Experiment (HALOE) is a solar occultation experiment that will fly on the Upper Atmosphere Research Satellite to measure mixing ratio profiles of O3, H2O, NO2, NO, CH4, HCl, and HF. The inversion of the HALOE data will be critically dependent on a detailed knowledge of eight optical filters. A filter characterization program was undertaken to measure in-band transmissions, out-of-band transmissions, in-band transmission shifts with temperature, reflectivities, and age stability. Fourier Transform Infrared Spectrometers were used to perform measurements over the spectral interval 400/cm to 6300/cm (25 micrometers to 1.6 micrometers). Very high precision (0.1 percent T) in-band measurements and very high resolution (0.0001 percent T) out-of-band measurements have been made. The measurements revealed several conventional leaks at 0.01 percent transmission and greatly enhanced (1,000) leaks to the 2-element filters when placed in a Fabry-Perot cavity. Filter throughput changes by 5 percent for a 25 C change in filter temperature

On the Fortet-Mourier metric for the stability of Stochastic Optimization Problems, an example

We consider the use of the Fortet-Mourier metric between two probability measures to bound the error term made by an approximated solution of a stochastic program. After a short analysis of usual stability arguments, we propose a simple example of stochastic program which enlightens the importance of the information structure. As a conclusion, we underline the need to take into account both the probability measure and the information structure in the discretization of a stochastic program

Optical properties monitor: Experiment definition phase

The stability of materials used in the space environment will continue to be a limiting technology for space missions. The Optical Properties Monitor (OPM) Experiment provides a comprehensive space research program to study the effects of the space environment-both natural and induced-on optical, thermal and space power materials. The OPM Experiment was selected for definition under the NASA/OAST In-Space Technology Experiment Program. The results of the OPM Definition Phase are presented. The OPM Experiment will expose selected materials to the space environment and measure the effects with in-space optical measurements. In-space measurements include total hemispherical reflectance total integrated scatter and VUV reflectance/transmittance. The in-space measurements will be augmented with extensive pre- and post-flight sample measurements to determine other optical, mechanical, electrical, chemical or surface effects of space exposure. Environmental monitors will provide the amount and time history of the sample exposure to solar irradiation, atomic oxygen and molecular contamination

Genomic Selection for Yield and Seed Composition Stability in an Applied Soybean Breeding Program

Stability traits are of primary importance in plant breeding to ensure consistency in phenotype across a range of environments. However, selection efficiency and accuracy for stability traits can be hindered due to the requirement of obtaining phenotype data across multiple years and environments for proper stability analysis. Genomic selection is a method that allows prediction of a phenotype prior to observation in the field using genome-wide marker data and phenotype data from a training population. To assess prediction of stability traits, two elite-yielding soybean populations developed three years apart in the same breeding program were used. The individuals in each population were tested across three years and seven or more environments, allowing for calculation of observed stability and assessment of prediction accuracy. The primary goal of this research was to provide an overview of genomic selection for yield stability, protein content stability, and oil content stability in an applied soybean breeding program. Factors affecting prediction accuracy were assessed, including SNP density, SNP marker type, and stability measure. Briefly, predictive abilities were low across all stability traits and stability measures for prediction across populations, ranging from -0.01 to 0.37. During applied prediction of non-parametric measures for yield stability, we obtained rank coincidence of roughly 0.65. When individuals in the top half of predicted stability are selected, roughly 65% of those individuals are expected to be in the top half of observed stability. For prediction of protein and oil content stability for static environmental variance stability, we obtained rank coincidence of 0.59 and 0.58. While predictive abilities were too low for use in a breeding program, rank coincidence gave more promising results for applied genomic selection for stability traits. With improvement in methods such as prediction model, SNP type, and greater training and validation phenotype environments, there is potential for genomic selection to effectively improve stability in a breeding program by implementing selection at an early stage when phenotype data are insufficient to select for stability. Advisor: David L. Hyte

Application of a sensitivity analysis technique to high-order digital flight control systems

A sensitivity analysis technique for multiloop flight control systems is studied. This technique uses the scaled singular values of the return difference matrix as a measure of the relative stability of a control system. It then uses the gradients of these singular values with respect to system and controller parameters to judge sensitivity. The sensitivity analysis technique is first reviewed; then it is extended to include digital systems, through the derivation of singular-value gradient equations. Gradients with respect to parameters which do not appear explicitly as control-system matrix elements are also derived, so that high-order systems can be studied. A complete review of the integrated technique is given by way of a simple example: the inverted pendulum problem. The technique is then demonstrated on the X-29 control laws. Results show linear models of real systems can be analyzed by this sensitivity technique, if it is applied with care. A computer program called SVA was written to accomplish the singular-value sensitivity analysis techniques. Thus computational methods and considerations form an integral part of many of the discussions. A user's guide to the program is included. The SVA is a fully public domain program, running on the NASA/Dryden Elxsi computer