Sliding-Window Matrix Pencil Method for Design Optimization with Limit-Cycle Oscillation Constraints

被引：0
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作者：
Golla, Tarun [1 ]
Kennedy, Graeme J. [1 ]
Riso, Cristina [1 ]
机构：
[1] Daniel Guggenheim School of Aerospace Engineering, Georgia Institute of Technology, 275 Ferst Drive Northwest, Atlanta,30332, Georgia
来源：
AIAA Journal | 1600年 / 62卷 / 11期
关键词：
This paper introduces a novel approach to constrain limit-cycle oscillations in design optimization. The approach builds upon a limit-cycle oscillation constraint that bounds the recovery rate to equilibrium; circumventing the need for bifurcation diagrams. Previous work demonstrated the constraint using approximate recovery rates obtained by evaluating the system state velocity for prescribed states. This work proposes a fully nonlinear matrix pencil method that accurately evaluates the recovery rate based on transient simulations. The proposed method captures the amplitude variation in the recovery rate using a short time window that slides along the time history of a quantity of interest. This sliding-window matrix pencil method is first verified for a typical section model. Sensitivity analyses identify guidelines to obtain accurate recovery rates efficiently. The system is then optimized subject to limit-cycle oscillation; flutter; and side constraints; and the results are compared with the ones based on approximate recovery rates. The sliding-window matrix pencil method allows the optimizer to produce a less conservative design while preventing limit-cycle oscillations at desired operating conditions and amplitudes. The approach introduced in this paper can facilitate the inclusion of limit-cycle oscillation considerations in the design phase of a broad class of nonlinear systems. © 2024 by Tarun Golla; Graeme J. Kennedy; and Cristina Riso;
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Journal article (JA)
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页码：4170 / 4188
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