Buckling of circular, solid and annular plates with an intermediate circular support

Axisymmetric buckling analysis of laterally restrained thick annular plates using a hybrid numerical method

“…Based on this criterion, the displacement components should be perturbed around the pre-buckling configuration, uðr; zÞ ¼ u o ðr; zÞ þ uðr; zÞ; wðr; zÞ ¼ w o ðr; zÞ þ wðr; zÞ (10) where uðr; zÞ, uðr; zÞ and wðr; zÞ, wðr; zÞ are the perturbed and total displacement components along the radial and thickness directions, respectively. Consequently, the total strain and stress components can be decomposed into pre-buckling and perturbed parts, Table 3 Convergence behavior of buckling load parameter Pcr against the number of elements for simply supported-free annular plates, Kw ¼ 10, …”

“…[1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16]. However, there are few studies on thick circular and annular plates using elasticity theory [17][18][19], which are limited to plates without lateral restraints.…”

“…The commonly used approximate methods for the buckling analysis of circular and annular plates are the Ritz and finite element methods [5,[7][8][9][10]12,16]. Recently, the differential quadrature method (DQM) has emerged as a distinct numerical technique which has capability of producing highly accurate results with minimum computational efforts for initial and boundary value problems.…”

Investigation on Buckling of Orthotropic Circular and Annular Plates of Continuously Variable Thickness by Optimized Ritz Method

“…Menk et al [2], studied on variation of thickness on buckling of orthotropic rectangular plate. Laura et al [3], found critical load of buckling for isotropic annular plate with constant thickness by optimized Ritz method. Imposed boundary condition of plate for inner edge either outer edge was under different supports.…”

Buckling of a Circular Plate with Internal Elastic Ring Support

“…Sometimes the circular plates can be strengthened by internal rigid ring supports. Liew et al (1994) studied the buckling of a thick annular plate with several rigid ring supports, and Laura et al (2000) investigated both full and annular thin elastic plates with one rigid ring support. Liew et al (1994) studied the buckling of a thick annular plate with several rigid ring supports, and Laura et al (2000) investigated both full and annular thin elastic plates with one rigid ring support.…”