scholarly journals Buckling analysis of members restrained by sandwich panels

2021 ◽  
Vol 54 (2) ◽  
pp. 96-116
Author(s):  
Markku Heinisuo
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Differential Equations ◽  
Fourth Order ◽  
Sandwich Panels ◽  
Buckling Analysis ◽  
Analytic Method ◽  
Finite Element Analyses ◽  
Elastic Range ◽  
Element Method

An analytic method is presented for the analysis of flexural restraint of members by sandwich panels. Using the method, which is based on the solutions of the fourth order differential equations, the restraint effect of sandwich panels can be approximated in practical cases. The reliability of the method is shown based on tests and finite element analyses. New results are shown using the analytic method for buckling cases and for P-δ analysis in the elastic range. The exact finite element method (FEM) formulation is given for more complicated cases.

scholarly journals Vibro-acoustic optimisation of sandwich panels using the wave/finite element method

2016 ◽  
Vol 156 ◽  
pp. 108-114 ◽  
Author(s):  
C. Droz ◽  
Z. Zergoune ◽  
R. Boukadia ◽  
O. Bareille ◽  
M.N. Ichchou
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Sandwich Panels ◽  
Element Method

A Parameter Robust Finite Element Method for Fourth Order Singularly Perturbed Problems

2017 ◽  
Vol 17 (2) ◽  
pp. 337-349 ◽  
Author(s):  
Christos Xenophontos
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Fourth Order ◽  
Hermite Polynomials ◽  
Perturbation Parameter ◽  
Singularly Perturbed ◽  
The Finite Element Method ◽  
Singularly Perturbed Problems ◽  
Exponentially Graded ◽  
Element Method

AbstractWe consider fourth order singularly perturbed problems in one-dimension and the approximation of their solution by the h version of the finite element method. In particular, we use piecewise Hermite polynomials of degree ${p\geq 3}$ defined on an exponentially graded mesh. We show that the method converges uniformly, with respect to the singular perturbation parameter, at the optimal rate when the error is measured in both the energy norm and a stronger, ‘balanced’ norm. Finally, we illustrate our theoretical findings through numerical computations, including a comparison with another scheme from the literature.

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