Efficient geometric nonlinear analyses of circular plate bending problems

2005 ◽  
Vol 20 (4) ◽  
pp. 405-420
Author(s):  
Mei Duan
Keyword(s):  
Circular Plate ◽  
Plate Bending ◽  
Nonlinear Analyses ◽  
Geometric Nonlinear ◽  
Bending Problems

A semi-analytic finite-element analysis of circular plate bending problems

1980 ◽  
Vol 15 (2) ◽  
pp. 75-82 ◽  
Author(s):  
T H Richards ◽  
B Delves
Keyword(s):  
Finite Element Analysis ◽  
Finite Element ◽  
Circular Plate ◽  
Plate Bending ◽  
Circular Plates ◽  
Element Analysis ◽  
Bending Problems ◽  
Design Analyses ◽  
Axisymmetric Structures

Semi-analytic formulations have previously been used for a number of stressing problems wherein axisymmetric structures have supported non-axisymmetric loads. The approach is here shown to be very useful for circular plates, and to have especial value for design analyses using desk top computers in which the main store is relatively small.

scholarly journals A Hybrid High-Order method for Kirchhoff–Love plate bending problems

2018 ◽  
Vol 52 (2) ◽  
pp. 393-421 ◽  
Author(s):  
Francesco Bonaldi ◽  
Daniele A. Di Pietro ◽  
Giuseppe Geymonat ◽  
Françoise Krasucki
Keyword(s):  
Sharp Estimate ◽  
High Order ◽  
Plate Bending ◽  
Mechanical Modeling ◽  
High Order Method ◽  
Local Polynomial ◽  
Bending Behavior ◽  
Bending Problems ◽  
Norm Of The Error ◽  
Theoretical Results

We present a novel Hybrid High-Order (HHO) discretization of fourth-order elliptic problems arising from the mechanical modeling of the bending behavior of Kirchhoff–Love plates, including the biharmonic equation as a particular case. The proposed HHO method supports arbitrary approximation orders on general polygonal meshes, and reproduces the key mechanical equilibrium relations locally inside each element. When polynomials of degree k ≥ 1 are used as unknowns, we prove convergence in hk+1 (with h denoting, as usual, the meshsize) in an energy-like norm. A key ingredient in the proof are novel approximation results for the energy projector on local polynomial spaces. Under biharmonic regularity assumptions, a sharp estimate in hk+3 is also derived for the L2-norm of the error on the deflection. The theoretical results are supported by numerical experiments, which additionally show the robustness of the method with respect to the choice of the stabilization.

Framework Analog for Circular Plate Bending

1977 ◽  
Vol 103 (7) ◽  
pp. 1479-1483
Author(s):  
H. Kinh Ha
Keyword(s):  
Circular Plate ◽  
Plate Bending
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