Numerical evaluation of energy barriers in nano-sized magnetic elements with Lagrange multiplier technique

2008 ◽  
Vol 403 (2-3) ◽  
pp. 330-333 ◽  
Author(s):  
E. Paz ◽  
F. Garcia-Sanchez ◽  
O. Chubykalo-Fesenko
Keyword(s):  
Lagrange Multiplier ◽  
Numerical Evaluation ◽  
Energy Barriers ◽  
Magnetic Elements ◽  
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

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.

Controlling the Frequency Content of Inertia Forces in Dwelling Cam-Follower Systems

2006 ◽  
Vol 129 (5) ◽  
pp. 546-552 ◽  
Author(s):  
Forrest W. Flocker
Keyword(s):  
Lagrange Multiplier ◽  
Natural Frequencies ◽  
Inertia Force ◽  
Frequency Content ◽  
Lagrange Multiplier Technique ◽  
Cam Follower ◽  
Inertia Forces

Background. Cam-driven machines are frequently manufactured with the intent that they be installed in many different end applications, each with its own natural frequencies. A cam-driven component that performs well in one end application can excite obnoxious or damaging vibrations in another. Method of Approach. A Lagrange multiplier technique is presented that optimally modifies follower motion such that unwanted inertia force frequencies are suppressed. Results. An example problem illustrates the method and presents results. Conclusions. The technique provides a robust customization procedure, permitting the use of a cam-driven component in a wider variety of end applications.

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