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  • 1
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    Numerical aerodynamic simulation facility (1978)
    In:  CASI
    Details
    Publikationsdatum: 2016-06-07
    Beschreibung: Critical to the advancement of computational aerodynamics capability is the ability to simulate flows about three-dimensional configurations that contain both compressible and viscous effects, including turbulence and flow separation at high Reynolds numbers. Analyses were conducted of two solution techniques for solving the Reynolds averaged Navier-Stokes equations describing the mean motion of a turbulent flow with certain terms involving the transport of turbulent momentum and energy modeled by auxiliary equations. The first solution technique is an implicit approximate factorization finite-difference scheme applied to three-dimensional flows that avoids the restrictive stability conditions when small grid spacing is used. The approximate factorization reduces the solution process to a sequence of three one-dimensional problems with easily inverted matrices. The second technique is a hybrid explicit/implicit finite-difference scheme which is also factored and applied to three-dimensional flows. Both methods are applicable to problems with highly distorted grids and a variety of boundary conditions and turbulence models.
    Schlagwort(e): STRUCTURAL MECHANICS
    Materialart: NASA. Langley Res. Center Res. in Computerized Structural Analysis and Syn.,; p 15-30
    Format: application/pdf
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  • 2
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    Vibration of skewed cantilever plates and helicoidal shells (1975)
    In:  CASI
    Details
    Publikationsdatum: 2019-06-27
    Beschreibung: Theoretical vibration frequencies and mode shapes are obtained for skewed plates and helicoidal shells with a cantilever boundary. Using Hamilton's law of varying action, a power series solution is developed to obtain converged numerical results for the five lowest frequencies. Effects of geometrical variables such as aspect ratio, sweep angle and shell radius to thickness ratio are investigated. Accuracy of the solution method is substantiated by comparison with existing skewed plate spherical cap, and conical shell results.
    Schlagwort(e): STRUCTURAL MECHANICS
    Materialart: NASA-CR-2588
    Format: application/pdf
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  • 3
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    Vibration of thermally stressed plates with various boundary conditions. (1973)
    In:  Other Sources
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    Publikationsdatum: 2019-06-27
    Beschreibung: By discarding Lurie's (1952) assumption of mode identity, it is shown that linear theory correctly predicts the frequency of all modes of a thermally stressed cantilever plate as well as the frequency and modes of plates with other boundary conditions. The thermal stress distribution is obtained for whatever temperature distribution and boundary conditions that may be specified. Experimental results are compared to calculated results for several different plates. Boundary conditions for the plates range from a plate with edges completely clamped to a plate with edges completely free with various other combinations of mixed and uniform edge conditions. Comparison of calculated data to experimental data shows that accurate, quantitative results can be obtained from linear theory for 'as cut' real plates for a significant range of heating when the assumption of mode identity is discarded.
    Schlagwort(e): STRUCTURAL MECHANICS
    Materialart: AIAA Journal; 11; Jan. 197
    Format: text
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  • 4
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    Direct analytical solutions to non-uniform beam problems (1978)
    In:  Other Sources
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    Publikationsdatum: 2019-06-27
    Beschreibung: The direct analytical solution to the vibration of non-uniform beams with and without discontinuities and with various boundary conditions is presented. Results are compared to results from the exact solution for certain cases where the exact solution has been obtained. It is shown that the direct solution converges to the exact solution, in fact, with 'indefinite accuracy' just as Hamilton stated that it would.
    Schlagwort(e): STRUCTURAL MECHANICS
    Materialart: Journal of Sound and Vibration; 56; Feb. 22
    Format: text
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  • 5
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    Application of Hamilton's Law of Varying Action (1973)
    In:  CASI
    Details
    Publikationsdatum: 2019-06-27
    Beschreibung: The application of Hamilton's Law to the direct solution of nonstationary as well as stationary problems in mechanics of solids is discussed. Solutions are demonstrated for conservative and monconservative, stationary and/or nonstationary particle motion. Mathematical models are developed to establish the relationships of the parameters.
    Schlagwort(e): STRUCTURAL MECHANICS
    Materialart: NASA-CR-138207
    Format: application/pdf
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  • 6
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    Free vibrations of thermally stressed orthotropic plates with various boundary conditions (1973)
    In:  CASI
    Details
    Publikationsdatum: 2019-06-27
    Beschreibung: An analytical investigation of the vibrations of thermally stressed orthotropic plates in the prebuckled region is presented. The investigation covers the broad class of trapezoidal plates with two opposite sides parallel. Each edge of the plate may be subjected to different uniform boundary conditions. variable thickness and arbitrary temperature distributions (analytical or experimental) for any desired combination of boundary conditions may be prescribed. Results obtained using this analysis are compared to experimental results obtained for isotropic plates with thermal stress, and to results contained in the literature for orthotropic plates without thermal stress. Good agreement exists for both sets of comparisons.
    Schlagwort(e): STRUCTURAL MECHANICS
    Materialart: NASA-CR-2174
    Format: application/pdf
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  • 7
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    Hamilton, Ritz, and elastodynamics (1976)
    In:  Other Sources
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    Publikationsdatum: 2019-06-27
    Beschreibung: The theory of Ritz is applied to the equation that Hamilton called the 'Law of Varying Action'. Direct analytical solutions are obtained for the transient motion of beams, both conservative and nonconservative. The results obtained are compared to exact solutions obtained by the use of rigorously exact free-vibration modes in the differential equations of Lagrange and to an approximate solution obtained through the application of Gurtin's principles for linear elastodynamics. A brief discussion of Hamilton's law and Hamilton's principle is followed by examples of results for both free-free and cantilever beams with various loadings.
    Schlagwort(e): STRUCTURAL MECHANICS
    Materialart: ASME PAPER 76-APM-R
    Format: text
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  • 8
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    Vibration and local edge buckling of thermally stressed, wedge airfoil cantilever wings. (1973)
    In:  Other Sources
    Details
    Publikationsdatum: 2019-07-13
    Beschreibung: The local edge buckling phenomena that can occur along the heated thin edge of a wedge shape airfoil is calculated. Qualitative comparison (qualitative only because the experimental temperature distribution was not measured) is made to the experimentally observed phenomena. The consequences of the assumption of identical vibration and buckling modes is shown by a comparison of results with and without the assumption of mode identity. Computer plots of the elastic surface as local buckling develops with increasing temperature are shown. The calculated, fully developed local edge buckling is compared to a photograph of a fully developed buckling as observed in the laboratory.
    Schlagwort(e): STRUCTURAL MECHANICS
    Materialart: AIAA PAPER 73-327 , Dynamics Specialists Conference; Mar 19, 1973 - Mar 20, 1973; Williamsburg, VA
    Format: text
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