Stress, buckling, and vibration analysis of shells of revolution

Anderson, M. S.; Fulton, Robert E.; Heard, W. L.; Walz, J. E.

doi:10.1016/0045-7949(71)90009-5

Cited by 21 publications

(3 citation statements)

References 26 publications

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“…Thurston and Holston [18] were the first to take account of moderately large axisymmetric prebuckling meridional rotations in the stability analysis of these heads. Since publication of [18] many computer programs have been written which will calculate nonsymmetric buckling loads of arbitrary elastic shells of revolution including geometric nonlinearity in the prebuckling analysis and prebuckling shape changes in the stability analysis [19][20][21][22][23].…”

Section: Introductionmentioning

confidence: 99%

Stress and Buckling of Internally Pressurized, Elastic-Plastic Torispherical Vessel Heads—Comparisons of Test and Theory

Bushnell

Galletly

1977

Journal of Pressure Vessel Technology

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Several aluminum and mild steel torispJxerical lieads were tested by Galletly and byKirk and Gill and subsequently analyzed by Bushnell with use of the BOSORB computer program.The thinnest specimens buckled at pressures for which part of the toroidal knuckle was stressed well beyond Oie yield point. The analysis includes large deflection effects, nonlinear material behavior, and meridional variation of the thickness.The calculated strains in tJie thicker specimens agree reasonably well with the test results, but the calculated prebuckling strains in the thinnest specimens are generally greater than the values measured in the torodial knuckle after the onset of plastic flow. Reasonably good agreement between test and theory is obtained for the buckling pressures of aluminum specimens, but the calculated buckling pressures for mild steel specimens are much lower than the observed values, a discrepancy that is attributed to circumferentially varying thickness and possible inability of the analytical model of the elastic-plastic material to predict accurately the state of stress in the toroidal knuckle where loading is nonproportional once yielding has occurred,

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Section: Introductionmentioning

confidence: 99%

Stress and Buckling of Internally Pressurized, Elastic-Plastic Torispherical Vessel Heads—Comparisons of Test and Theory

Bushnell

Galletly

1977

Journal of Pressure Vessel Technology

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“…The SALORS (Structural Analysis of Layered Orthotropic Ring-Stiffened Shells of Revolution) system of computer programs described in Ref. 4 was the primary analytical tool for determining buckling pressures based on either linear or nonlinear prebuckling stress states. Only linear prebuckling stress states were assumed to apply during the design process.…”

Section: Part I Aeroshell Design and Analysismentioning

confidence: 99%

Design, Analysis, and Tests of a Structural Prototype Viking Aeroshell

Heard

Anderson

et al. 1973

Journal of Spacecraft and Rockets

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A design procedure and test results for a lightweight, ring-stiffened, 140° conical shell having structural proportions and loadings appropriate for the Viking aeroshell are reported. Objectives were to develop a rational design procedure for establishing the buckling strength of a structurally efficient aeroshell and to demonstrate the reliability of the design procedure by the acquisition of test data from full-scale models. Part I describes the computerized design procedure which iterates between a design program based on approximate equations to determine skin and ring gages and ring spacings, and a sophisticated system of shell-of-revolution programs for more accurate analysis as a basis for redesign. Part II discusses fabrication techniques, test procedures, and test results. Two aeroshells which differed only in base ring stiffness were fabricated and tested. Measured prebuckling strains in skin and rings agreed well with theoretical predictions for both models. Each aeroshell appeared to buckle in the general instability mode at approximately the ultimate design pressure. Appropriate buckling knockdown factors for this type of construction are identified. A r b\ C D d E Nomenclature = cross-sectional area of ring, in. 2 L I. M n R T 19 T 2 T, t I z a r n V°c r (a cr /E r )(l/h) n correlation factor for general instability [see Eq. (Al)] shell flexural rigidity, Ib-in. local value of ring spacing, in. Young's modulus for shell wall material, lb/in. 2 Young's modulus for ring material, lb/in. 2 eccentricity of centroid of ring-shell composite wall from the middle surface of shell skin, in. thickness of interior ring cross section, in. interior ring section moment of inertia about centroid of composite wall, in. 4 interior ring section moment of inertia about ring centroid, in. 4 meridional.length of truncated shell (see Fig. 17), in: characteristic length of ring cross section, in. number of shell segments exponent [see Eq. (A8)] (critical) pressure, lb/in. 2 average circumferential radius of curvature [Eq. (A4)] local radius of shell, in. shell stress resultants in meridional and circumferential directions, respectively, lb/in. (positive in compression) ring hoop force, Ib (positive in compression) shell wall thickness, in. effective thickness [Eq. (A2)], in. eccentricity of ring centroid, in. cone half angle (see Fig. 17), deg hl/td ratio of bending stiffness of composite ring-skin combination . to bending stiffness of skin Poisson's ratio allowable stress for ring local buckling [Eq. (A8)], lb/in. 2

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“…This Note presents the results of the vibration analysis of two prestressed shells of revolution obtained with the VALORS and BALORS programs which were early vibration and buckling versions of the SALORS (Stress Analysis of Layered Orthotropic Ring-Stiffened Shells of Revolution) System described in Ref. 7.…”

Section: Introductionmentioning

confidence: 99%

Effects of prestress on vibration behavior of certain shells of revolution

Ebner

1971

AIAA Journal

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Stress, buckling, and vibration analysis of shells of revolution

Cited by 21 publications

References 26 publications

Stress and Buckling of Internally Pressurized, Elastic-Plastic Torispherical Vessel Heads—Comparisons of Test and Theory

Stress and Buckling of Internally Pressurized, Elastic-Plastic Torispherical Vessel Heads—Comparisons of Test and Theory

Design, Analysis, and Tests of a Structural Prototype Viking Aeroshell

Effects of prestress on vibration behavior of certain shells of revolution

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