Reduced-order models based on linear and nonlinear aerodynamic impulse responses

Silva, Walter A.

doi:10.2514/6.1999-1262

Cited by 63 publications

(32 citation statements)

References 20 publications

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“…[4][5][6][7][8] The application of ROM techniques to aeroelastic systems is an active area of research, motivated by the desire for faster algorithms that are well-suited to the design environment for aircraft. For example, transonic, fluid-structure interaction is a particular application of interest to both external and internal aerodynamicists because moving shock waves in the flow necessitate high-fidelity numerical flow solvers which are too cumbersome for iterative design analysis.…”

Section: Volterra Methodsmentioning

confidence: 99%

Aeroelastic System Development Using Proper Orthogonal Decomposition and Volterra Theory

Lucia¹,

Beran²,

Silva³

2003

44th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference

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This research combines Volterra theory and proper orthogonal decomposition (POD) into a hybrid methodology for reduced-order modeling of aeroelastic systems. The outcome of the method is a set of linear ordinary differential equations (ODEs) describing the modal amplitudes associated with both the structural modes and the POD basis functions for the fluid. For this research, the structural modes are sine waves of varying frequency, and the Volterra-POD approach is applied to the fluid dynamics equations. The structural modes are treated as forcing terms which are impulsed as part of the fluid model realization. Using this approach, structural and fluid operators are coupled into a single aeroelastic operator. This coupling converts a free boundary fluid problem into an initial value problem, while preserving the parameter (or parameters) of interest for sensitivity analysis. The approach is applied to an elastic panel in supersonic cross flow. The hybrid Volterra-POD approach provides a low-order fluid model in state-space form. The linear fluid model is tightly coupled with a nonlinear panel model using an implicit integration scheme. The resulting aeroelastic model provides correct limit-cycle oscillation prediction over a wide range of panel dynamic pressure values. Time integration of the reduced-order aeroelastic model is four orders of magnitude faster than the high-order solution procedure developed for this research using traditional fluid and structural solvers.

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Section: Volterra Methodsmentioning

confidence: 99%

Aeroelastic System Development Using Proper Orthogonal Decomposition and Volterra Theory

Lucia¹,

Beran²,

Silva³

2003

44th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference

Self Cite

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show abstract

“…This term represents the convolution of the first-order kernel with the system input for times between 0 and t. Lastly are the higher-order terms involving the second-order kernel, h 2 , through the nth-order kernel, h n . The existence of these terms is an indication that the system is nonlinear [92,93].…”

Section: Volterra Theorymentioning

confidence: 99%

“…Development of ROMs based on the Volterra theory is one of several ROM methods currently under development [7,55,78,89,90,92,97,98]. Reduced-order models based on the Volterra theory have been applied successfully to Euler and Navier-Stokes models of nonlinear unsteady aerodynamic and aeroelastic systems [92].…”

Section: Introductionmentioning

confidence: 99%

Identification of Nonlinear Aeroelastic Systems Based on the Volterra Theory: Progress and Opportunities

Silva

2005

Nonlinear Dyn

176

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The identification of nonlinear aeroelastic systems based on the Volterra theory of nonlinear systems is presented. Recent applications of the theory to problems in computational and experimental aeroelasticity are reviewed. Computational results include the development of computationally efficient reduced-order models (ROMs) using an Euler/Navier-Stokes flow solver and the analytical derivation of Volterra kernels for a nonlinear aeroelastic system. Experimental results include the identification of aerodynamic impulse responses, the application of higher-order spectra (HOS) to wind-tunnel flutter data, and the identification of nonlinear aeroelastic phenomena from flight flutter test data of the active aeroelastic wing (AAW) aircraft.

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“…The aeroservoelastic community has developed a variety of methods that they call reduced-order models. [102][103][104] Some aspects of these models are useful for purely fluid dynamics problems as well. An approach that may be intriguing to parts of the turbulence physics community is the use of proper orthogonal decompositions in design.…”

Section: Aerodynamic Approximationsmentioning

confidence: 99%

Multidisciplinary design optimization techniques - Implications and opportunities for fluid dynamics research

Zang

Green

1999

30th Fluid Dynamics Conference

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A challenge for the fluid dynamics community is to adapt to and exploit the trend towards greater multidisciplinary focus in research and technology. The past decade has witnessed substantial growth in the research field of Multidisciplinary Design Optimization (MDO). MDO is a methodology for the design of complex engineering systems and subsystems that coherently exploits the synergism of mutually interacting phenomena. As evidenced by the papers, which appear in the biannual AIAA/USAF/NASA/ISSMO Symposia on Multidisciplinary Analysis and Optimization, the MDO technical community focuses on vehicle and system design issues. This paper provides an overview of the MDO technology field from a fluid dynamics perspective, giving emphasis to suggestions of specific applications of recent MDO technologies that can enhance fluid dynamics research itself across the spectrum, from basic flow physics to full configuration aerodynamics.

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Reduced-order models based on linear and nonlinear aerodynamic impulse responses

Abstract: ABSTRACT

Cited by 63 publications

References 20 publications

Aeroelastic System Development Using Proper Orthogonal Decomposition and Volterra Theory

Aeroelastic System Development Using Proper Orthogonal Decomposition and Volterra Theory

Identification of Nonlinear Aeroelastic Systems Based on the Volterra Theory: Progress and Opportunities

Multidisciplinary design optimization techniques - Implications and opportunities for fluid dynamics research

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