13,385 research outputs found

    Statistical energy methods Final report, 18 May 1969 - 18 May 1970

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    Statistical energy analysis for studying dynamic behavior of large, complex structures and acoustic space

    Experimental study of sound and vibration transmission to a shroud-enclosed spacecraft Annual report, 20 Jan. 1967 - 20 Jan. 1968

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    Acoustic and mechanical vibration transmission paths to shroud enclosed spacecraf

    Development of rotorcraft interior. Noise control concepts. Phase 1: Definition study

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    A description of helicopter noise, diagnostic techniques for source and path identification, an interior noise prediction model, and a measurement program for model validation are provided

    Shock transmission in coupled beams and rib stiffened structures

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    Shock transmission in a simple coupled beam structure and in a ring-stringer stiffened cylinder is investigated experimentally and analytically using wave transmission and statistical energy analysis concepts. The use of the response spectrum to characterize the excitation provided to a simple beam by a force pulse is studied. Analysis of the transmission of a dilatation wave in a periodically stiffened plate indicates that the stiffeners are fairly transparent to the wave, but some of the dilatational energy is scattered into bending at each support

    Topological entropy and blocking cost for geodesics in riemannian manifolds

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    For a pair of points x,yx,y in a compact, riemannian manifold MM let nt(x,y)n_t(x,y) (resp. st(x,y)s_t(x,y)) be the number of geodesic segments with length ≤t\leq t joining these points (resp. the minimal number of point obstacles needed to block them). We study relationships between the growth rates of nt(x,y)n_t(x,y) and st(x,y)s_t(x,y) as t→∞t\to\infty. We derive lower bounds on st(x,y)s_t(x,y) in terms of the topological entropy h(M)h(M) and its fundamental group. This strengthens the results of Burns-Gutkin \cite{BG06} and Lafont-Schmidt \cite{LS}. For instance, by \cite{BG06,LS}, h(M)>0h(M)>0 implies that ss is unbounded; we show that ss grows exponentially, with the rate at least h(M)/2h(M)/2.Comment: 13 page

    Transonic pressure measurements and comparison of theory to experiment for an arrow-wing configuration. Volume 1: Experimental data report, base configuration and effects of wing twist and leading-edge configuration

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    A wind tunnel test of an arrow-wing-body configuration consisting of flat and twisted wings, as well as a variety of leading- and trailing-edge control surface deflections, was conducted at Mach numbers from 0.4 to 1.1 to provide an experimental pressure data base for comparison with theoretical methods. Theory-to-experiment comparisons of detailed pressure distributions were made using current state-of-the-art attached and separated flow methods. The purpose of these comparisons was to delineate conditions under which these theories are valid for both flat and twisted wings and to explore the use of empirical methods to correct the theoretical methods where theory is deficient

    Rate dependent shear bands in a shear transformation zone model of amorphous solids

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    We use Shear Transformation Zone (STZ) theory to develop a deformation map for amorphous solids as a function of the imposed shear rate and initial material preparation. The STZ formulation incorporates recent simulation results [Haxton and Liu, PRL 99 195701 (2007)] showing that the steady state effective temperature is rate dependent. The resulting model predicts a wide range of deformation behavior as a function of the initial conditions, including homogeneous deformation, broad shear bands, extremely thin shear bands, and the onset of material failure. In particular, the STZ model predicts homogeneous deformation for shorter quench times and lower strain rates, and inhomogeneous deformation for longer quench times and higher strain rates. The location of the transition between homogeneous and inhomogeneous flow on the deformation map is determined in part by the steady state effective temperature, which is likely material dependent. This model also suggests that material failure occurs due to a runaway feedback between shear heating and the local disorder, and provides an explanation for the thickness of shear bands near the onset of material failure. We find that this model, which resolves dynamics within a sheared material interface, predicts that the stress weakens with strain much more rapidly than a similar model which uses a single state variable to specify internal dynamics on the interface.Comment: 10 pages, 13 figures, corrected typos, added section on rate strengthening vs. rate weakening material
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