Volume 31 Issue 12
Dec.  2016
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LIU Fang, DING Qian. Primary resonance response analysis on folding rudder with gaps[J]. Journal of Aerospace Power, 2016, 31(12): 2965-2971. doi: 10.13224/j.cnki.jasp.2016.12.019
Citation: LIU Fang, DING Qian. Primary resonance response analysis on folding rudder with gaps[J]. Journal of Aerospace Power, 2016, 31(12): 2965-2971. doi: 10.13224/j.cnki.jasp.2016.12.019
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Primary resonance response analysis on folding rudder with gaps

doi: 10.13224/j.cnki.jasp.2016.12.019

  • 1. School of Mechanical Engineering, Tianjin University, Tianjin 300072, China;

  • 2. Tianjin Key Laboratory of Nonlinear Dynamics and Chaos Control, Tianjin University, Tianjin 300072, China

  • Received Date: 2015-04-10
  • Publish Date: 2016-12-28
    Abstract
  • Primary resonant response of a folding rudder with gaps was investigated. The vibration equations of a folding rudder with gaps both in up-down and pitch directions were established. Harmonic external excitation forces with same frequency were considered in these two directions of motion. The primary resonant periodic solution of the system was analyzed by the average method. Combining with numerical solution, the amplitude-frequency response curves were presented, and the influence of gap, external excitation force, preload on primary resonance of rudder were discussed. Influences of gap, external excitation force and preload on the primary resonance of folding rudder were investigated. The results show that, as the gap increases, the overall main resonance response curve shifts leftwards; non-linear characteristic is more prominent, amplitude jump and hysteresis amplitude appear. With the increase of external excitation force, the proportion of response in the gap range is reducing in line with the nonlinear effects, the vibration characteristic of the system is nearly linear; with increase of fixed preload, the resonance shape changes greatly.

     

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    • References(20)
  • [1]
    Lee D H,Chen P C.Nonlinear aeroelastic studies on a folding wing configuration with free-play hinge nonlinearity[R].AIAA-2006-1734,2006.
    [2]
    Abbas L K,Valentine D,Marzocca P,et al.Numerical studies of a non-linear aeroelastic system with plunging and pitching freeplays in supersonic/hypersonic regimes[J].Aerospace Science and Technology,2007,11(5):405-418.
    [3]
    Kim D H,Lee I.Transonic and low-supersonic aeroelastic analysis of a two-degree-of-freedom airfoil with a freeplay nonlinearity[J].Journal of Sound and Vibration,2000,234(5):859-880.
    [4]
    Dimitriadis G.Bifurcation analysis of aircraft with structural nonlinearity and freeplay using numerical continuation[J].Journal of Aircraft,2008,45(3):893-905.
    [5]
    赵永辉,胡海岩.具有操纵面间隙非线性二维翼段的气动弹性分析[J].航空学报,2003,24(6):521-525. ZHAO Yonghui,HU Haiyan.Aeroelastic analysis of a two-dimensional airfoil with control surface freeplay nonlinearity[J].Acta Aeronautica et Astronautica Sinica,2003,24(6):521-525.(in Chinese)
    [6]
    Ding Q,Cooper J E,Leung A Y T.Application of an improved cell mapping method to bilinear stiffness aeroelastic systems[J].Journal of Fluids and Structures,2005,20(1):35-49.
    [7]
    王益锋,邵松,朱清华,等.带有气动及结构非线性的二元机翼颤振分析[J].航空动力学报,2012,27(9):2063-2074. WANG Yifeng,SHAO Song,ZHU Qinghua,et al.Fluttter analysis of a two-dimensional wing with aerodynamic and structural nonlinearity[J].Journal of Aerospace Power,2012,27(9):2063-2074.(in Chinese)
    [8]
    吴长波,崔海涛,徐拓,等.某风机叶片的弯扭耦合颤振问题分析与验证[J].航空动力学报,2012,27(3):623-627. WU Changbo,CUI Haitao,XU Tuo,et al.Analysis and experiment on coupled flutter of a wide-chord blade[J].Journal of Aerospace Power,2012,27(3):623-627.(in Chinese)
    [9]
    刘兵山,燕瑛.复合材料机翼盒段的设计、模态分析和试验[J].北京航空航天大学学报,2003,29(11):1026-1028. LIU Bingshan,YAN Ying.Modal analysis and tests of composites wing box[J].Journal of Beijing University of Aeronautics and Astronautics,2003,29(11):1026-1028.(in Chinese)
    [10]
    赵永辉.气动弹性力学与控制[M].北京:科学教育出版社,2007.
    [11]
    郭家舜,王三民,王颖.基于解析解的人字齿轮齿廓修形动态分析[J].航空动力学报,2013,28(3):613-620. GUO Jiashun,WANG Sanmin,WANG Ying.Dynamic analysis of tooth profile modification to herringbone gears based on analytical solution[J].Journal of Aerospace Power,2013,28(3):613-620.(in Chinese)
    [12]
    Leung A Y T,Guo Z.Residue harmonic balance for two-degree-of-freedom airfoils with cubic structural nonlinearity[J].AIAA Journal,2011,49(2):2607-2615.
    [13]
    LIAO Haitao.Piecewise constrained optimization harmonic balance method for predicting the limit cycle oscillations of an airfoil with various nonlinear structures[J].Journal of Fluids and Structures,2015,55:324-346.
    [14]
    丁千,陈予恕,叶敏,等.一类非自治滞后-自激系统的主共振与锁模现象[J].力学学报,2002,34(1):123-130. DING Qian,CHEN Yushu,YE Ming,et al.The primary resonance and mode-locking in a certain self-excited system with hysteretic non-linearity[J].Chinese Journal of Applied Mechanics,2002,34(1):123-130.(in Chinese)
    [15]
    李道春,向锦武.迟滞非线性二元机翼颤振特性分析[J].航空学报,2007,28(3):600-604. LI Daochun,XIANG Jinwu.Analysis of two-dimensional airfoil with hysteresis structural nonlinearity[J].Acta Aeronautica et Astronautica Sinica,2007,28(3):600-604.(in Chinese)
    [16]
    李道春,向锦武.非线性二元机翼气动弹性近似解析研究[J].航空学报,2007,28(5):1080-1084. LI Daochun,XIANG Jinwu.Nonlinear aeroelastic analysis of airfoil using quasi-analytical approach[J].Acta Aeronautica et Astronautica Sinica,2007,28(5):1080-1084.(in Chinese)
    [17]
    董明晶,丁千.整圈自带冠叶盘系统斜碰撞振动局部化研究[J].航空动力学报,2014,29(12):2914-2923. DONG Mingjing,DING Qian.Study on vibration localization of oblique impact of whole-circle bladed disk with tips system[J].Journal of Aerospace Power,2014,29(12):2914-2923.(in Chinese)
    [18]
    贾尚帅,丁千.含间隙超音速二元弹翼非线性颤振与主动控制[J].中国科学:物理学力学天文学,2013,43(4):390-400. JIA Shangshuai,DING Qian.Nonlinear flutter and active control of the supersonic two-dimensional missile wings with a freeplay[J].Scientia Sinica:Physica,Mechanica and Astronomica,2013,43(4):390-400.(in Chinese)
    [19]
    谷迎春,杨智春.带迟滞非线性环节二元机翼的气动弹性响应分析[J].机械科学与技术,2006,25(8):900-904. GU Yingchun,YANG Zhichun.Aeroelastic response analysis of an airfoil with hysteresis nonlinearity[J].Mechanical Science and Technology,2006,25(8):900-904.(in Chinese)
    [20]
    Ding Q,Chen Y.Analyzing resonant response of a system with dry friction damper using an analytical method[J].Journal Vibration and Control,2008,14(8):1111-1123.
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