Standard

Buckling of an Annular Plate under Tensile Point Loading. / Solovev, A.S.; Bochkarev, A.O.

In: Vestnik St. Petersburg University: Mathematics, Vol. 50, No. 1, 2017, p. 82-89.

Research output: Contribution to journal › Article › peer-review

Harvard

Solovev, AS & Bochkarev, AO 2017, 'Buckling of an Annular Plate under Tensile Point Loading', Vestnik St. Petersburg University: Mathematics, vol. 50, no. 1, pp. 82-89. https://doi.org/10.3103/S1063454117010137

APA

Solovev, A. S., & Bochkarev, A. O. (2017). Buckling of an Annular Plate under Tensile Point Loading. Vestnik St. Petersburg University: Mathematics, 50(1), 82-89. https://doi.org/10.3103/S1063454117010137

Vancouver

Solovev AS, Bochkarev AO. Buckling of an Annular Plate under Tensile Point Loading. Vestnik St. Petersburg University: Mathematics. 2017;50(1):82-89. https://doi.org/10.3103/S1063454117010137

Author

Solovev, A.S. ; Bochkarev, A.O. / Buckling of an Annular Plate under Tensile Point Loading. In: Vestnik St. Petersburg University: Mathematics. 2017 ; Vol. 50, No. 1. pp. 82-89.

BibTeX

@article{9e75861587004227881751750772f293,
title = "Buckling of an Annular Plate under Tensile Point Loading",
abstract = "In this paper, we address the stability of an elastic thin annular plate stretched by two point loads that are located on the outer boundary. A roller support is considered on the outer boundary while the inner edge of the plate is free. Muskhelishvili{\textquoteright}s theory of complex potentials has been applied to obtain a solution of the plane problem in the form of a power series. The buckling problem has been solved using the Rayleigh–Ritz method, based on the energy criterion. The critical Euler force and the respective buckling mode have been computed. Dependence between the critical force and the relative orifice size has been illustrated. Analysis of the results has shown that a symmetric buckling mode takes place for a sufficiently large hole, with the greatest deflection observed around the hole along the force line. However, an antisymmetric buckling mode occurs for relatively small holes, with the greatest deflection being along a line that is orthogonal to the force line.",
keywords = "stability, buckling, plate, elasticity, Rayleigh–Ritz method",
author = "A.S. Solovev and A.O. Bochkarev",
year = "2017",
doi = "10.3103/S1063454117010137",
language = "English",
volume = "50",
pages = "82--89",
journal = "Vestnik St. Petersburg University: Mathematics",
issn = "1063-4541",
publisher = "Pleiades Publishing",
number = "1",

}

RIS

TY - JOUR

T1 - Buckling of an Annular Plate under Tensile Point Loading

AU - Solovev, A.S.

AU - Bochkarev, A.O.

PY - 2017

Y1 - 2017

N2 - In this paper, we address the stability of an elastic thin annular plate stretched by two point loads that are located on the outer boundary. A roller support is considered on the outer boundary while the inner edge of the plate is free. Muskhelishvili’s theory of complex potentials has been applied to obtain a solution of the plane problem in the form of a power series. The buckling problem has been solved using the Rayleigh–Ritz method, based on the energy criterion. The critical Euler force and the respective buckling mode have been computed. Dependence between the critical force and the relative orifice size has been illustrated. Analysis of the results has shown that a symmetric buckling mode takes place for a sufficiently large hole, with the greatest deflection observed around the hole along the force line. However, an antisymmetric buckling mode occurs for relatively small holes, with the greatest deflection being along a line that is orthogonal to the force line.

AB - In this paper, we address the stability of an elastic thin annular plate stretched by two point loads that are located on the outer boundary. A roller support is considered on the outer boundary while the inner edge of the plate is free. Muskhelishvili’s theory of complex potentials has been applied to obtain a solution of the plane problem in the form of a power series. The buckling problem has been solved using the Rayleigh–Ritz method, based on the energy criterion. The critical Euler force and the respective buckling mode have been computed. Dependence between the critical force and the relative orifice size has been illustrated. Analysis of the results has shown that a symmetric buckling mode takes place for a sufficiently large hole, with the greatest deflection observed around the hole along the force line. However, an antisymmetric buckling mode occurs for relatively small holes, with the greatest deflection being along a line that is orthogonal to the force line.

KW - stability

KW - buckling

KW - plate

KW - elasticity

KW - Rayleigh–Ritz method

U2 - 10.3103/S1063454117010137

DO - 10.3103/S1063454117010137

M3 - Article

VL - 50

SP - 82

EP - 89

JO - Vestnik St. Petersburg University: Mathematics

JF - Vestnik St. Petersburg University: Mathematics

SN - 1063-4541

IS - 1

ER -

ID: 7740710