On the use of the Lagrange Multiplier Technique for the unilateral local buckling of point-restrained plates, with application to side-plated concrete beams in structural retrofit

2007 ◽  
Vol 26 (6) ◽  
pp. 673-685 ◽  
Author(s):  
P. Hedayati ◽  
M. Azhari ◽  
A.R. Shahidi ◽  
M.A. Bradford
Keyword(s):  
Lagrange Multiplier ◽  
Concrete Beams ◽  
Local Buckling ◽  
Lagrange Multiplier Technique

scholarly journals A XFEM Lagrange Multiplier Technique for Stefan Problems

2016 ◽  
Vol 7 ◽  
Author(s):  
Dave Martin ◽  
Hicham Chaouki ◽  
Jean-Loup Robert ◽  
Mario Fafard ◽  
Donald Ziegler
Keyword(s):  
Lagrange Multiplier ◽  
Stefan Problems ◽  
Lagrange Multiplier Technique

scholarly journals About the use of semi-continuity in simply supported composite steel and concrete beams, to remove fireproof coatings for standard-fire resistance requirement of less than 30 minutes

2019 ◽  
Vol 12 (5) ◽  
pp. 1183-1204
Author(s):  
L. C. ROMAGNOLI ◽  
V. P. SILVA
Keyword(s):  
Fire Resistance ◽  
Concrete Beams ◽  
Local Buckling ◽  
Rotational Stiffness ◽  
Design Code ◽  
Simply Supported ◽  
Standard Fire ◽  
Equivalent Time ◽  
Lower Standard ◽  
Composite Steel

Abstract Previous studies of the behavior under fire conditions of composite steel and concrete beams, not subjected to local buckling (compact steel profile), showed that it’s not possible to justify, by design code methods, the absence of fire coating for 30 minutes standard-fire resistance requirement, even when considering the support rotational stiffness provided by the upper longitudinal slab reinforcement (semi-continuity). The purpose of this work is to verify the viability of this proposal for lower standard-fire resistance time, which, although rare, may occur with the use of the equivalent time method.

Performance Analysis and Optimization of Annular Fin With a Step Change in Thickness

2000 ◽  
Vol 123 (3) ◽  
pp. 601-604 ◽  
Author(s):  
B. Kundu ◽  
P. K. Das
Keyword(s):  
Heat Transfer ◽  
Temperature Distribution ◽  
Performance Analysis ◽  
Optimum Design ◽  
Lagrange Multiplier ◽  
Step Change ◽  
Annular Fin ◽  
Lagrange Multiplier Technique ◽  
Annular Disc ◽  
Fin Length

The temperature distribution in a concentric annular fin with a step change in thickness (AFST) has been obtained analytically. The optimum design of such fins has been performed using Lagrange multiplier technique considering either the fin volume or the rate of heat transfer as the constraint. It has been demonstrated that the optimum AFSTs transfer more heat compared to optimum annular disc fins for a given fin volume as well as for given fin volume and fin length.

On Certain Least-Squares Synthesis Methods Misconceptions

1979 ◽  
Vol 101 (1) ◽  
pp. 47-50 ◽  
Author(s):  
G. H. Sutherland
Keyword(s):  
Least Squares ◽  
Lagrange Multiplier ◽  
Numerical Results ◽  
Synthesis Methods ◽  
Linear Superposition ◽  
Synthesis Techniques ◽  
Lagrange Multiplier Technique ◽  
False Premise

This paper shows a fundamental flaw in previously published linear superposition least-squares synthesis techniques. These techniques have the desirable noniteration characteristic. However, this paper shows, by a reformulation of the method, that they are based on a false premise. Numerical results bear this out. A Lagrange-multiplier technique is suggested as a superior alternative.

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