Wed Jul 22 15:37:01 2015 UTClccn-n980664710.42The theory of the top0.661.00Comparison of Wave-Mode Coordinate and Pulse Summation Methods165641457n 980664714778901lccn-n85801588Sommerfeld, Arnold1868-1951autctblccn-no2008183730Sandri, Guidotrlctblccn-n79068357Klein, Felix1849-1925autnp-williams, james hWilliams, James H.autnc-united states$national aeronautics and space administration$scientific and technical information divisionUnited StatesNational Aeronautics and Space AdministrationScientific and Technical Information Divisionlccn-n82224163American Society of Mechanical EngineersNoise Control and Acoustics Divisionlccn-n90675116Farabee, T. M.(Theodore M.)np-eckert, michaelEckert, Michaellccn-n80126316Lewis Research Centerviaf-166436302Zampolli, MarioNagem, Raymond J.Conference proceedingsHistoryTopsGyroscopesNutationLatitude variationPrecessionKinematicsRotational motionGyroscopic instrumentsUltrasonic testingNondestructive testingFibrous compositesAcoustical engineeringNoise controlDamping (Mechanics)Composite materialsAcoustic emissionMathematical physicsMechanicsMathematicsFibrous composites--TestingWavesMotionPerturbation (Mathematics)Gyro compassDiffractionGyrostabilizers198019821986198719881989199519972004200820102012201410162650535.420151QA862.T7ocn870425280ocn843015517ocn900213997ocn025615880ocn840406268ocn008995923ocn018453383ocn080117481ocn9053727301178ocn793187493book20100.67Klein, FelixÜber die Theorie des KreiselsHistoryThe lecture series on The Theory of the Top was originally given as a dedication to Göttingen University by Felix Klein in 1895, but has since found broader appeal. This text is one in a series of self-contained English translations that provide insights into kinetic theory and kinematics+-+6572912635873ocn032540407book19890.61Williams, James HEnergy in elastic fiber embedded in elastic matrix containing incident SH wave473ocn038127259book19970.72Proceedings of the ASME Noise Control and Acoustics Division : presented at the 1997 ASME International Mechanical Engineering Congress and Exposition, November 16-21, 1997, Dallas, TexasConference proceedings+-+4393636425203ocn845619618book20040.68Sommerfeld, ArnoldMathematical theory of diffractionArnold Sommerfeld's "Mathematische Theorie der Diffraction" marks a milestone in optical theory, full of insights that are still relevant today. In a stunning tour de force, Sommerfeld derives the first mathematically rigorous solution of an optical diffraction problem. Indeed, his diffraction analysis is a surprisingly rich and complex mix of pure and applied mathematics, and his often-cited diffraction solution is presented only as an application of a much more general set of mathematical results. The body of Sommerfeld's work is devoted to the systematic development of a method for deriving solutions of the wave equation on Riemann surfaces, a fascinating but perhaps underappreciated topic in mathematical physics. This complete translation, reflecting substantial scholarship, is the first publication in English of Sommerfeld's original work. The extensive notes by the translators are rich in historical background and provide many technical details for the reader. A detailed account of the previous diffraction analyses of Kirchhoff and Poincaré provides a context for the striking originality and power of Sommerfeld's ideas. The availability of this translation is an enriching contribution to the community of mathematical and theoretical physicists. TOC:Preface * Introduction * Mathematical Theory of Diffraction * General problem formulation * Expansions in Bessel functions * Transition formula * Bessel functions as the simplest examples * Everywhere finite solutions * Solutions with a singularity * Graphical treatment of the simplest multivalued solution * Application to diffraction * Tafel *Translators' Notes *Appendix I: The History and Present State of Discoveries relating to Vision, Light and Colours, Joseph Priestley, London, 1772, pp. 171-182. * Index+-+3951812635185ocn813175431book20080.45Klein, FelixThe theory of the topThe lecture series on The Theory of the Top was originally given as a dedication to Göttingen University by Felix Klein in 1895, but has since found broader appeal. This text is one in a series of self-contained English translations that provide insights into kinetic theory and kinematics+-+657291263582ocn870425280book20140.72Klein, FelixThe theory of the topThe Theory of the Top, Volume IV, Technical Applications of the Theory of the Top is the fourth and final volume in a series of self-contained English translations of the classic and definitive treatment of rigid body motion. Key features: Complete and unabridged presentation with recent advances and additional notes; Annotations by the translators provide insights into the nature of science and mathematics in the late 19th century; Each volume interweaves theory and applications. The Theory of the Top was originally presented by Felix Klein as an 1895 lecture at Göttingen University that was broadened in scope and clarified as a result of collaboration with Arnold Sommerfeld. Graduate students and researchers interested in theoretical and applied mechanics will find this series of books a thorough and insightful account. Other volumes in the series include Introduction to the Kinematics and Kinetics of the Top, Development of the Theory in the Case of the Heavy Symmetric Top, and Perturbations. Astronomical and Geophysical Applications42ocn758827410book20100.92Klein, FelixThe theory of the top+-+597391263522ocn823750870book20120.45Klein, FelixThe theory of the top"The Theory of the Top, Volume III - Perturbations: Astronomical and Geophysical Applications" is the third in a series of four self-contained English translations of the classic and definitive treatment of rigid body motion. Key features: Complete and unabridged presentation with recent advances and additional notes; Annotations by the translators provide insights into the nature of science and mathematics in the late 19th century; Each volume interweaves theory and applications. "The Theory of the Top" was originally presented by Felix Klein as an 1895 lecture at Gottingen University that was broadened in scope and clarified as a result of collaboration with Arnold Sommerfeld. Graduate students and researchers interested in theoretical and applied mechanics will find this series of books a thorough and insightful account. Other volumes in the series include Introduction to the Kinematics and Kinetics of the Top, Development of the Theory in the Case of the Heavy Symmetric Top, and Technical Applications of the Theory of the Top11ocn227694719book19871.00Wave Propagation in Transversely Isotropic Continuum Models of LSS (Large Space Structures)Continuum models of large repetitive lattice structures are often used to provide computationally efficient analyses of static, dynamic and thermomechanical properties. In this report, a continuum model is used to study wave propagation in lattice structures. Attention is focused on a tetrahedral lattice structure which may be modeled as an equivalent homogeneous transversely isotropic continuum. Numerical results for phase velocities, deviation angles, and wave front surfaces in the equivalent continuum show that wave propagation in lattice structures may be remarkably different from the more familiar wave propagation in isotropic continua. The results given here, which ignore all effects of boundaries of the lattice and which are valid for wavelengths that are long compared with the basic cell size of the lattice, are intended to give insight into how waves may propagate in large repetitive lattice structures. Keywords: Wave Propagation; Continuum Models; Lattice Structures; Large Space Structures11ocn874396082book0.96Klein, FelixThe theory of the topThe Theory of the Top: Volume II. Development of a Theory of the Heavy Symmetric Top is the second installment of a series of four self-contained English translations of the classic and definitive treatment of rigid body motion.Key features:* Complete and unabridged presentation with recent advances and additional notes* Annotations by the translators provide insights into the nature of science and mathematics in the late 19th century* Each volume interweaves theory and applicationsThe Theory of the Top was originally presented by13ocn905372730book20120.73Klein, Felix˜Theœ Theory of the Top Volume III PerturbationsThe Theory of the Top: Volume III. Perturbations: Astronomical and Geophysical Applications is the third installment in a series of four self-contained English translations of the classic and definitive treatment of rigid body motion. Key features:* Complete and unabridged presentation with recent advances and additional notes;* Annotations by the translators provide insights into the nature of science and mathematics in the late 19th century;* Each volume interweaves theory and applicationsThe Theory of the Top was originally presented by Felix Klein as an 1895 lecture at Göttingen University11ocn227695550book19861.00Comparison of Wave-Mode Coordinate and Pulse Summation MethodsNondispersive pulse propagation in a simple one-dimensional lattice structure is analyzed using the pulse summation method and the wave-mode coordinate method. The results of the two methods are shown to be identical, and both methods account for the existence of equivalent paths in the lattice. Some recommendations for future research are given. Keywords include: Wave Propagation, Large Space Structures, Wave-Mode Coordinates, and Pulse Summation Method11ocn874396251book0.96Klein, FelixThe theory of the topThe Theory of the Top: Volume II. Development of a Theory of the Heavy Symmetric Top is the second installment of a series of four self-contained English translations of the classic and definitive treatment of rigid body motion.Key features:* Complete and unabridged presentation with recent advances and additional notes* Annotations by the translators provide insights into the nature of science and mathematics in the late 19th century* Each volume interweaves theory and applicationsThe Theory of the Top was originally presented by11ocn080117481book19950.84Target identification and inverse problems in acoustics : Symposium : International mechanical engineering congress : Papers11ocn227707721book19871.00Computation of Natural Frequencies of Planar Lattice StructureTransfer matrices and joint coupling matrices are used to compute natural frequencies of vibration of a five-bay planar lattice structure. The method of analysis may be applied to general two and three-dimensional lattices. The necessary numerical computations may be performed easily with a personal computer. Numerical results for the first twenty-five nonzero natural frequencies of the five-bay planar lattice structure are given for the case when the members of the lattice are modeled as Bernoulli-Euler beams, and for the case when the members of the lattice are modeled as Timoshenko beams. The maximum difference in the computed natural frequencies of the two models occurs in the twenty-fifth mode and is less than one-half of one percent. The natural frequencies obtained here agree within six percent with the natural frequencies obtained in a previous analysis using a finite element method and an experimental modal analysis01ocn748362302file20100.54Klein, FelixDevelopment of the theory in the case of the heavy symmetric top01ocn802057010file20120.64Klein, FelixPerturbations astronomical and geophysical applications02ocn748411002file20100.62Klein, FelixThe theory of the top02ocn654380119file20100.42Klein, FelixThe theory of the top01ocn881166081file20140.64Klein, FelixThe Theory of the Top. Volume IV Technical Applications of the Theory of the TopThe Theory of the Top. Volume IV.?Technical Applications of the Theory of the Top is the?fourth?and final volume in?a series of self-contained English translations of the classic and definitive treatment of rigid body motion. Key features:* Complete and unabridged presentation with recent advances and additional notes;* Annotations by the translators provide insights into the nature of science and mathematics in the late 19th century;* Each volume interweaves theory and applications. The Theory of the Top was originally presented by Felix Klein as an 1895 lecture at Gottingen University that was+-+6572912635Wed Jul 22 16:06:21 EDT 2015batch18028