scholarly journals A Sensitivity Equation Approach to Shape Optimization in Fluid Flows

1995 ◽  
pp. 49-78 ◽  
Author(s):  
Jeff Borggaard ◽  
John Burns
Keyword(s):  
Shape Optimization ◽  
Fluid Flows ◽  
Equation Approach ◽  
Sensitivity Equation

An Integral Equation Approach for Shape Optimization of Plate Piezoelectric Patch

2005 ◽  
Vol 11 (2) ◽  
pp. 161-186 ◽  
Author(s):  
J. Zhang ◽  
J. C. Bruch ◽  
J. M. Sloss
Keyword(s):  
Integral Equation ◽  
Eigenvalue Problem ◽  
Shape Optimization ◽  
Vibration Frequency ◽  
Numerical Scheme ◽  
Optimization Technique ◽  
Equation Approach ◽  
Piezoelectric Patch ◽  
Integral Equation Approach ◽  
Patch Geometry

In this paper, we consider a vibrating system with piezoelectric patches whose minimum vibration frequency is to be maximized subject to some constraint on the patch geometry. A numerical scheme is constructed based on the integral equation approach for the computation of the corresponding eigenvalue problem and the boundary parametrization optimization technique. Various numerical results are provided for the case of a Plexiglas plate with PVDF sensor and actuator patches.

AN INTEGRAL EQUATION APPROACH TO PHASE TRANSITIONS IN FERROFLUIDS

1988 ◽  
Vol 49 (C8) ◽  
pp. C8-1847-C8-1848
Author(s):  
G. A. R. Martin ◽  
A. Bradbury ◽  
R. W. Chantrell
Keyword(s):  
Integral Equation ◽  
Phase Transitions ◽  
Equation Approach ◽  
Integral Equation Approach
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