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

被引:1
|
作者
Golla, Tarun [1 ]
Kennedy, Graeme J. [1 ]
Riso, Cristina [1 ]
机构
[1] Georgia Inst Technol, Daniel Guggenheim Sch Aerosp Engn, 275 Ferst Dr Northwest, Atlanta, GA 30332 USA
关键词
Design Optimization; Gradient-Based Optimization; Dynamic Aeroelasticity; Nonlinear Aeroelasticity; Flutter; Limit-Cycle Oscillations; FLUTTER; DYNAMICS; TIME; IDENTIFICATION; AIRFOIL;
D O I
10.2514/1.J064005
中图分类号
V [航空、航天];
学科分类号
08 ; 0825 ;
摘要
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.
引用
收藏
页码:4170 / 4188
页数:19
相关论文
共 8 条
  • [1] Sliding-Window Matrix Pencil Method for Design Optimization with Limit-Cycle Oscillation Constraints
    Golla, Tarun
    Kennedy, Graeme J.
    Riso, Cristina
    AIAA Journal, 1600, 62 (11): : 4170 - 4188
  • [2] Pole Extraction of Radar Target in Resonant Region Based on Sliding-Window Matrix Pencil Method
    Deng, Zhian
    Zhang, Tianbao
    Li, Na
    Zhang, Chunjie
    Si, Weijian
    WIRELESS COMMUNICATIONS & MOBILE COMPUTING, 2022, 2022
  • [3] LIMIT-CYCLE CONSTRAINTS FOR RECURSIVE-DIGITAL-FILTER DESIGN
    OJONGBEDE, HA
    ELECTRONICS LETTERS, 1970, 6 (22) : 698 - +
  • [4] A simple analytical method for evaluation of limit-cycle oscillation amplitude in boiling water reactors
    Hashimoto, K
    Sano, T
    Hotta, A
    Takeda, T
    ANNALS OF NUCLEAR ENERGY, 1998, 25 (17) : 1455 - 1464
  • [5] A Nonlinear Output Feedback Regulation Method for Limit Cycle Oscillation Suppression Using a Sliding Mode Observer
    Ramos-Pedroza, Natalie
    Kidambi, Krishna Bhavithavya
    MacKunis, William
    Reyhanoglu, Mahmut
    2018 IEEE CONFERENCE ON DECISION AND CONTROL (CDC), 2018, : 5646 - 5651
  • [6] A HARDWARE/SOFTWARE CO-DESIGN VERSUS HARDWARE-ONLY IMPLEMENTATION OF MODULAR EXPONENTIATION USING THE SLIDING-WINDOW METHOD
    Nedjah, Nadia
    Mourelle, Luiza De Macedo
    JOURNAL OF CIRCUITS SYSTEMS AND COMPUTERS, 2009, 18 (02) : 295 - 310
  • [7] A hardware/software co-design vs. hardware implementation of the modular exponentiation using the sliding-window method with constant-length partitioning
    Nedjah, Nadia
    Mourelle, Luiza de Macedo
    DSD 2007: 10TH EUROMICRO CONFERENCE ON DIGITAL SYSTEM DESIGN ARCHITECTURES, METHODS AND TOOLS, PROCEEDINGS, 2007, : 116 - +
  • [8] LIMIT CYCLE OSCILLATION PREDICTION AND CONTROL DESIGN METHOD FOR AEROELASTIC SYSTEM BASED ON NEW NONLINEAR REDUCED ORDER MODEL
    Chen Gang
    Li Yue-Ming
    Yan Gui-Rong
    INTERNATIONAL JOURNAL OF COMPUTATIONAL METHODS, 2011, 8 (01) : 77 - 90