Energy Methods, Classical Calculus of Variations Approach — Selected Topics and Applications

1986 ◽  
pp. 3-106
Author(s):  
Vadim Komkov
Keyword(s):  
Calculus Of Variations ◽  
Energy Methods ◽  
Classical Calculus

Optimum Boundaries for Elliptic Systems

1972 ◽  
Vol 94 (2) ◽  
pp. 159-164
Author(s):  
Y. Hari
Keyword(s):  
Calculus Of Variations ◽  
Poisson Equation ◽  
Ritz Method ◽  
Elliptic Systems ◽  
Maximum Torque ◽  
Tooth Shape ◽  
The Poisson Equation ◽  
Classical Calculus

In this paper a modification of the Ritz method is presented for finding optimum boundaries in which the Laplace or the Poisson equation is known to hold. The method developed utilized the classical calculus of variations to determine candidates for optimum boundaries. The method is applied to obtain the optimum tooth shape for maximum torque of a magnetic exciter used on a resonant stepping mechanism.

The Classical Calculus of Variations and Optimal Control

1996 ◽  
pp. 151-181
Author(s):  
V. N. Afanas’ev ◽  
V. B. Kolmanovskii ◽  
V. R. Nosov
Keyword(s):  
Optimal Control ◽  
Calculus Of Variations ◽  
Classical Calculus
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