Sensitivity analysis of a strongly coupled aero-structural system using the discrete direct and adjoint methods

2008 ◽  
Vol 17 (8) ◽  
pp. 1077-1106 ◽  
Author(s):  
Meryem Marcelet ◽  
Jacques Peter ◽  
Gérald Carrier
Keyword(s):  
Sensitivity Analysis ◽  
Structural System ◽  
Adjoint Methods ◽  
Strongly Coupled

Frequency Window Method for Strongly Coupled and Multiply Connected Structural Systems: Multiple-Mode Windows

1992 ◽  
Vol 59 (2S) ◽  
pp. S244-S252 ◽  
Author(s):  
K.-W. Min ◽  
T. Igusa ◽  
J. D. Achenbach
Keyword(s):  
Companion Paper ◽  
Structural System ◽  
Strongly Coupled ◽  
Multiply Connected ◽  
Multiple Mode ◽  
Window Method ◽  
Frequency Window ◽  
Rational Expressions ◽  
Insight Into ◽  
Reduced Problem

In a companion paper, a method is presented to analyze the dynamic behavior of a structural system consisting of a main structure and strongly coupled, multiply connected substructures. Lagrange’s equations are used to develop a characteristic equation for connected substructures in terms of substructure impedances and mobilities. A frequency window method is used to reduce the complexity of the problem by a decomposition of the impedance and mobility functions into dominant and higher-order rational expressions. From the reduced problem, simple expressions for the modal properties are developed using matrix algebraic methods, which provide insight into the resonance characteristics of the connected substructures. Onemode windows were discussed in detail and examples were presented. In the present paper the theory is extended to multiple-mode windows.

Adjoint methods of sensitivity analysis for Lyapunov equation

2015 ◽  
Vol 53 (2) ◽  
pp. 225-237 ◽  
Author(s):  
Kun Yan ◽  
Gengdong Cheng ◽  
Bo Ping Wang
Keyword(s):  
Sensitivity Analysis ◽  
Lyapunov Equation ◽  
Adjoint Methods

scholarly journals Experimental sensitivity analysis and control of thermoacoustic systems

2015 ◽  
Vol 787 ◽  
Author(s):  
Georgios Rigas ◽  
Nicholas P. Jamieson ◽  
Larry K. B. Li ◽  
Matthew P. Juniper
Keyword(s):  
Growth Rate ◽  
Sensitivity Analysis ◽  
Passive Control ◽  
Control Strategies ◽  
Control Device ◽  
Linear Regime ◽  
Adjoint Methods ◽  
Rijke Tube ◽  
Theoretical Predictions ◽  
And Control

In this paper, we report the results of an experimental sensitivity analysis on a thermoacoustic system – an electrically heated Rijke tube. We measure the change of the linear stability characteristics of the system, quantified as shifts in the growth rate and oscillation frequency, that is caused by the introduction of a passive control device. The control device is a mesh, which causes drag in the system. The rate of growth is slow, so the growth rate and frequency can be measured very accurately over many hundreds of cycles in the linear regime with and without control. These measurements agree qualitatively well with the theoretical predictions from adjoint-based methods of Magri & Juniper (J. Fluid Mech., vol. 719, 2013, pp. 183–202). This agreement supports the use of adjoint methods for the development and implementation of control strategies for more complex thermoacoustic systems.

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