Two-Mode Buckling of an Elastically Supported Plate and Its Relation to Catastrophe Theory

1980 ◽  
Vol 47 (3) ◽  
pp. 607-612 ◽  
Author(s):  
D. Hui ◽  
J. S. Hansen
Keyword(s):  
Infinite Plate ◽  
Single Mode ◽  
Postbuckling Behavior ◽  
Imperfection Sensitivity ◽  
Mode Behavior ◽  
Quartic Term ◽  
Compressive Loads ◽  
Nonlinear Elastic ◽  
Elastically Supported ◽  
Spring Constants

Classical buckling and initial postbuckling of a geometrically imperfect infinite plate on a nonlinear elastic foundation under two independent applied compressive loads are analyzed. The plate is assumed to have imperfections of the same form as the buckling modes. It is found that single mode behavior occurs when the two independent loads Nx and Ny are unequal. A two-mode case occurs when the two applied loads are equal and the form of the instability falls into the category of the parabolic umbilic type one or type two, depending on the quadratic and cubic spring constants. The importance of the contribution of the quartic term and imperfection-sensitivity is examined. The analysis is studied within the context of Koiter’s general theory of multimode postbuckling behavior.

Mode Interaction of Axially Stiffened Cylindrical Shells: Effects of Stringer Axial Stiffness, Torsional Rigidity, and Eccentricity

1981 ◽  
Vol 48 (4) ◽  
pp. 915-922 ◽  
Author(s):  
David Hui ◽  
R. C. Tennyson ◽  
J. S. Hansen
Keyword(s):  
Torsional Rigidity ◽  
Cylindrical Shells ◽  
Mode Interaction ◽  
Axial Stiffness ◽  
Local Mode ◽  
Postbuckling Behavior ◽  
Imperfection Sensitivity ◽  
Quartic Term ◽  
Load Carrying ◽  
Stiffened Cylindrical Shells

This paper deals with the effect of stringer axial stiffness, torsional rigidity, and eccentricity on the panel initial postbuckling behavior and mode interaction of axially stiffened cylindrical shells. As far as the local panel mode is concerned, the cylinder is taken to be integrally stiffened and the postbuckling redistribution of the axial load-carrying capacity between the skin and stringers is investigated. It is found that although the buckling analysis is more or less identical to previous analyses, there are significant changes in the quartic term of the potential energy of the local mode and hence, the imperfection-sensitivity of the structure is altered. These changes are due to the interaction between the stringers and the skin in the postbuckling analysis. In addition, to assess the effect of a nonlinear prebuckling state resulting from the presence of local imperfections, Koiter’s theory of amplitude modulation of the local mode is applied to an example problem of interest.

Single-mode cylindrical graphene plasmon waveguide

2016 ◽  
Vol 30 (22) ◽  
pp. 1650268
Author(s):  
Jianfeng Yang ◽  
Jingjing Yang ◽  
Ming Huang
Keyword(s):  
Cutoff Frequency ◽  
Single Mode ◽  
Graphene Sheets ◽  
Fem Simulations ◽  
Graphene Surface ◽  
Single Mode Operation ◽  
Mode Behavior ◽  
Novel Applications ◽  
Large Tunability ◽  
Single Mode Condition

A cylindrical graphene plasmon waveguide (CGPW) which consists of two rolled graphene ribbons, a dielectric core and a dielectric interlayer is proposed. An analytical model for the single-mode condition and cutoff frequency of high-order graphene surface plasmon (GSP) modes is presented and verified by finite element method (FEM) simulations. Single-mode operation region of CGPW is identified in the frequency–radius space. By varying the separation between two graphene sheets and the Fermi level of graphene, a large tunability of the mode behavior is also demonstrated. The proposed structure may provide a new freedom to manipulate GSPs, and would lead to novel applications in optics.

Shell Stability

1983 ◽  
Vol 50 (4b) ◽  
pp. 935-940 ◽  
Author(s):  
C. D. Babcock
Keyword(s):  
Dynamic Buckling ◽  
Recent History ◽  
Postbuckling Behavior ◽  
Imperfection Sensitivity ◽  
Plastic Buckling ◽  
Shell Stability ◽  
Current Trends ◽  
Shell Buckling ◽  
History Of ◽  
Subject Areas

Recent advances in shell buckling research are reviewed. Five separate subject areas are covered: elastic postbuckling behavior and imperfection sensitivity, plastic buckling, dynamic buckling, experiments and computations. Recent history of the research is presented emphasizing important advances in understanding. Areas of needed research and current trends are pointed out.

Initial Postbuckling Behavior of Imperfect, Antisymmetric Cross-Ply Cylindrical Shells Under Torsion

1987 ◽  
Vol 54 (1) ◽  
pp. 174-180 ◽  
Author(s):  
David Hui ◽  
I. H. Y. Du
Keyword(s):  
Cylindrical Shells ◽  
Elastic Stability ◽  
Buckling Load ◽  
Postbuckling Behavior ◽  
Imperfection Sensitivity ◽  
Torsional Buckling ◽  
Buckling Mode ◽  
Young’S Moduli ◽  
Coupling Behavior ◽  
Parameter Variations

This paper deals with the initial postbuckling of antisymmetric cross-ply closed cylindrical shells under torsion. Under the assumptions employed in Koiter’s theory of elastic stability, the structure is imperfection-sensitive in certain intermediate ranges of the reduced-Batdorf parameter (approx. 4 ≤ ZH ≤ 20.0). Due to different material bending-stretching coupling behavior, the (0 deg inside, 90 deg outside) two-layer clamped cylinder is less imperfection sensitive than the (90 deg inside, 0 deg outside) configuration. The increase in torsional buckling load due to a higher value of Young’s moduli ratio is not necessarily accompanied by a higher degree of imperfection-sensitivity. The paper is the first to consider imperfection shape to be identical to the torsional buckling mode and presents concise parameter variations involving the reduced-Batdorf paramter and Young’s moduli ratio.

PS21 Postbuckling Behavior of Cross-Ply Laminated Curved Plates under Biaxial Compressive Loads

2008 ◽  
Vol 2008 (0) ◽  
pp. _PS21-1_-_PS21-2_
Author(s):  
Sho ENDO ◽  
Hitoshi YAMAGUCHI ◽  
Masayuki TUJIMOTO ◽  
Hirakazu KASUYA
Keyword(s):  
Postbuckling Behavior ◽  
Compressive Loads

Nonlinearly induced single mode behavior in multi-mode fibers

2004 ◽  
Author(s):  
S. Skupin ◽  
U. Peschel ◽  
L. Bergé ◽  
F. Lederer
Keyword(s):  
Single Mode ◽  
Mode Behavior ◽  
Multi Mode
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