4 edition of **Bifurcation buckling of spherical caps.** found in the catalog.

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- 22 Currently reading

Published
**1964**
by Courant Institute of Mathematical Sciences, New York University in New York
.

Written in English

The Physical Object | |
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Pagination | 33 p. |

Number of Pages | 33 |

ID Numbers | |

Open Library | OL17869872M |

The asymmetrical bifurcation phenomenon of geometrically nonlinear spherical caps under multiparametrical loading is considered. The many works published until now have examined this phenomenon for spherical caps only under single by: 6. The John equations are used to model the buckling of a simply-supported elastic spherical cap that is subjected to a constant uniform external load λ. The Liapunov-Schmidt method is used to solve these equations. We show that solutions possessing circular, pear-shaped, elliptical, triangular, square-shaped, pentagonal and a variety of other symmetries Cited by: 4.

Buckling analysis of spherical shells under external pressure is a crucial problem in mechanical and aerospace engineering. It is widely known that the buckling loads obtained by classical methods are much higher than experimental : Yixiao Sun, Zhihai Xiang. Bifurcation buckling of spherical caps Bifurcation buckling of spherical caps Reiss, Edward L. EDWARD L. REISS 1 Introduction. The surface of a thin elastic spherical cap is subjected to a uniform pressure, p, which is .

BUCKLING IMPERFECTION SENSITIVITY OF COLUMNS AND SPHERICAL CAPS* By J. P. KEENER University of Arizona Introduction. Imperfection-sensitivity and post-buckling theory have been the subject of extensive studies in recent years [4], [6], In these studies (see for example [2], [7]) the critical buckling load is defined to be the maximum load. First, a limit point in the probe displacement (associated with a cusp instability and fold) can result in dynamic buckling as probing progresses, as demonstrated in the buckling of a spherical shell under volume control.

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Texts All Books All Texts latest This Just In Smithsonian Libraries FEDLINK (US) Genealogy Lincoln Collection. National Emergency Bifurcation buckling of spherical caps by Reiss, Edward L. Publication date Publisher New York: Courant Institute of Mathematical Sciences, New York UniversityPages: 3 only axisymmetric deformations of the cap.

Bifurcation buckling problems for spherical ca. were first considered in an approximate form in [ An equivalent of Problem B was treated in [5] where the lineari7-d buckling theory was partially analyzed and approximate solutions of.

The elastic buckling and initial post-buckling behavior of clamped shallow spherical shells under concentrated load is considered. It is found that bifurcation into an asymmetric deflection pattern will occur before axisymmetric snap-buckling unless the ratio of the shell rise to the thickness lies within a narrow range corresponding to relatively thick by: Buckling of Spherical Capsules.

Such a rounded spherical cap is an approximative isometry of the spherical rest shape. Upon approaching the buckling bifurcation. The loss of stability by so‐called bifurcation in tension of geometrically nonlinear plates and spherical caps loaded by axisymmetrical cross forces is examined.

These phenomena are manifested by a transition from axisymmetrical forms to the nonsymmetrical ones with formation of. Imperfection-Sensitive Buckling and Postbuckling of Spherical Shell Caps (S Yamada & M Uchiyama) and a linear-bifurcation-mode imperfection shape.

In addition, buckling interaction curves for composite shells subjected to combined axial compression and torsion loading are presented that were obtained by using the various imperfection shapes.

Buckling and postbuckling behavior of half-loaded shallow spherical shells International Journal of Non-Linear Mechanics, Vol. 20, No. 4 Bifurcation in Tension of Nonlinear Spherical CapsCited by: The buckling of spherical caps for 2 e ~R ~ and w e oug, where ~ is an appropriate Hilbert space.

Here, 2 is proportional to the external load p and ct is a geometric parameter, ~. BIFURCATION BUCKLIiaG OF SPHlRICAL CAPS. By and Edward L. ReissU. Army, R Ac Omfce and Edward L. Reiss. Abstract. 1Abstract A nonlinear boundary value problem is considered for the axisymnetric buckling of thin spherical shells subjected to uniform external pressure.

The uniformly compressed spherical state is a solution of this problem for. The Buckling of Spherical Shells by External Pressure. NUMERICAL STUDY OF SECONDARY BUCKLING AND MODE-COUPLING OF SPHERICAL CAPS.

Journal of Structural and Construction Engineering (Transactions of AIJ), Vol. 61, No. Bifurcation buckling of circular cylindrical shells under uniform external by: Buckling and initial post-buckling behavior of clamped shallow spherical sandwich shells International Journal of Solids and Structures, Vol.

7, No. 9 Buckling and postbuckling behavior of spherical caps under axisymmetric loadCited by: buckling loads either experimentally or theoretically. Therefore, in this study some elastic and plastic buckling problems associated with spherical shells are investigated. The first part of this research study presents the analytical, numerical, and experimentalFile Size: 9MB.

The buckling characteristics of these caps are examined using a fully nonlinear Galerkin solution procedure, a classical bifurcation analysis, and a reduced‐stiffness bifurcation analysis. This allows the elucidation of the imperfection sensitivity and nonlinear behavior of this important class of shell structures.

A Linear Bifurcation Analysis of a spherical shell subjected to a circumferential shear load leads to buckling modes displaying “oblong-elliptic” waves (see Fig. 14) as already observed by Mow and Sadowski in their pioneering works on a spherical shell Cited by: 6. Summary.- Bifurcation buckling due to edge effects and localized circumferential compression.- Bifurcation buckling due to edge effects.- Cylindrical shell under axial compression.- Externally pressurized spherical caps with edge rings.- Buckling of shallow and deep spherical caps.- Buckling due to localized hoop compression The buckling of shells in the form of spherical segment depends strictly on its rise.

Determination of full equilibrium paths for shells of higher rise is very laborious and evokes many numerical problems. Spherical caps loaded by the external pressure and clamped along the base circle are the subject of a detailed by: 9.

The nonlinear dynamic thermal buckling of functionally graded spherical caps, using a three-node shear flexible axisymmetric curved shell element, based on.

Introduction. The snap-buckling of spherical caps under uniform external pressure is a well-known but imperfectly understood phenomenon. The outstanding theoretical problems are to explain the mechanism which initiates the buckling.

mechanics research communications vol. 11(3),printed in the usa, /84 $ + copyright (c) pergamon press ltd. axisymmetric buckling of spherical caps with plane flanges. a model of the influence of edge imperfection on critical loading.

by: 1. BUCKLING OF SPHERICAL CAPSULES PHYSICAL REVIEW E 84, () The bending energy contribution in the elastic energy (7) agrees to leading order in. In addition to an axisymmetric bifurcation mode, it is well known that thin, perfect spherical shells have many non-axisymmetric bifurcation modes associated with the critical buckling pressure, p C.

If an imperfection or disturbance triggers a combination of both types of mode then asymmetric buckling is expected to occur, a possibility Koiter Cited by: Numerical solutions of the relevant boundary value problem suggest that the first bifurcation from the basic solution for a spherical cap under a class of meridionally nonuniform loading is to a dimple state.

Delicate asymptotic analysis of the linearized buckling problem Cited by: 1.about the buckling behaviour of complete spheres and spherical caps under external pressure. The The present ECCS–Recommendations [1] contain a chapter for spherical .