Error estimates for the unilateral buckling critical load of a thin plate

2007 ◽  
Vol 16 (5) ◽  
pp. 583-600 ◽  
Author(s):  
Mekki x Mekki Ayadi
Keyword(s):  
Critical Load ◽  
Error Estimates ◽  
Thin Plate

scholarly journals Error estimates for the unilateral buckling load of a plate involving the membrane efforts consistency error

2008 ◽  
pp. 1003-1038
Author(s):  
Mekki Ayadi
Keyword(s):  
Finite Elements ◽  
Error Estimate ◽  
Critical Load ◽  
Error Estimates ◽  
Thin Plate ◽  
Numerical Experiments ◽  
Mesh Size ◽  
Buckling Load ◽  
Plate Model ◽  
Consistency Error

The paper deals with error estimates for the unilateral buckling critical load of a thin plate in presence of an obstacle. The error on the membrane efforts tensor is taken into account. First, using the Mindlin’s plate model together with a finite elements scheme of degree one, an error estimate, depending on the mesh size h, is established. In order to validate this theoretical error estimate, some numerical experiments are presented. Second, using the Kirchhoff-Love’s plate model, an abstract error estimate is achieved. Its drawback is that it contains a hard term to evaluate.

scholarly journals Error estimates for the unilateral buckling critical load of a thin plate

2007 ◽  
pp. 583-600
Author(s):  
Mekki Ayadi
Keyword(s):  
Finite Elements ◽  
Error Estimate ◽  
Critical Load ◽  
Error Estimates ◽  
Thin Plate ◽  
Mesh Size ◽  
Numerical Results ◽  
Plate Model

The paper deals with error estimates for the unilateral buckling critical load of a thin plate in presence of an obstacle. First, using the Kirchhoff-Love’s plate model, an abstract error estimate is given up. Its drawback is that it contains a hard term to evaluate. Then, by using the Mindlin’s plate model together with a finite elements scheme of degree one, an error estimate, depending on the mesh size h, is established. The last part of the paper is devoted to some numerical results in order to validate the error estimate formula.

Symmetrical Buckling of a Series of Uniformly Loaded Parallel Struts Supported by Spot Connections to a Long Thin Plate

1957 ◽  
Vol 24 (4) ◽  
pp. 531-536
Author(s):  
J. L. Cutcliffe ◽  
H. S. Heaps
Keyword(s):  
Critical Load ◽  
Rectangular Plate ◽  
Elastic Properties ◽  
Thin Plate ◽  
Buckling Loads

Abstract The deflection in buckling of a long panel consisting of parallel stiffeners across a rectangular plate is found when equal buckling loads are applied to the ends of each stiffener. The critical load for buckling is found as a function of the elastic properties of the plate and the stiffeners for various spacings of stiffeners, and the number of spot connections to the plate.

WEIGHTED THIN PLATE SPLINES

2005 ◽  
Vol 03 (03) ◽  
pp. 297-324 ◽  
Author(s):  
A. BOUHAMIDI
Keyword(s):  
Weight Function ◽  
Error Estimates ◽  
Thin Plate ◽  
Approximation Theory ◽  
Multivariate Interpolation ◽  
Thin Plate Splines ◽  
Pointwise Error ◽  
Interpolating Splines ◽  
Nonnegative Weight ◽  
Pointwise Error Estimates

A widely known method in multivariate interpolation and approximation theory consists of the use of thin plate splines. In this paper, we investigate some results and properties relative to a wide variety of variational splines in some space of functions arising from a nonnegative weight function. This model includes thin plate splines, splines in tension and discusses smoothing and interpolating splines. Pointwise error estimates are given for both problems.

Systematic effects in observed parallaxes

1978 ◽  
Vol 48 ◽  
pp. 31-35
Author(s):  
R. B. Hanson
Keyword(s):  
Error Estimates ◽  
Zero Point ◽  
Absolute Zero ◽  
Apparent Magnitude ◽  
Coherent System ◽  
Preliminary Results ◽  
General Catalogue ◽  
Systematic Effects ◽  
New Evidence ◽  
Right Ascension

Several outstanding problems affecting the existing parallaxes should be resolved to form a coherent system for the new General Catalogue proposed by van Altena, as well as to improve luminosity calibrations and other parallax applications. Lutz has reviewed several of these problems, such as: (A) systematic differences between observatories, (B) external error estimates, (C) the absolute zero point, and (D) systematic observational effects (in right ascension, declination, apparent magnitude, etc.). Here we explore the use of cluster and spectroscopic parallaxes, and the distributions of observed parallaxes, to bring new evidence to bear on these classic problems. Several preliminary results have been obtained.

Forming of thin plate with diode laser

2001 ◽  
Author(s):  
Toshiyuki Miyazaki ◽  
Masatoshi Saito ◽  
Shunro Yoshioka ◽  
Tsuyoshi Tokunaga ◽  
Tadashi Misu ◽  
...  
Keyword(s):  
Diode Laser ◽  
Thin Plate
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