Abstract:The amplitude-frequency response of combination resonance of a aero-engine compress blade with a breathing crack under the lateral displace excitation of the rotor shaft was investigated. The blade was simplified into a single degree of freedom system using Galerkin’s method. The first order equation of the resonance response under the parametric excitation combining with the displacement excitation was obtained by using Multi-scale method. The effects of the opening and closing depth of crack, the location of lateral section with the crack and the displacement amplitude of the rotor shaft on the amplitude-frequency response of this resonance were analyzed. The obtained results show that it is the effective measures for preventing fatigue of the blade to control the changes of the above mentioned parameters which has a great influence on the dynamic behavior.
韩刚,陈予恕. 受转子位移激励的航空压气机呼吸裂纹叶片的联合共振[J]. 振动与冲击, 2015, 34(18): 87-93.
HAN Gang CHEN Yushu. Combination Resonance of Aero-engine Compressor Blade with a Breathing Crack under Displacement Excitation of Rotor Shaft. JOURNAL OF VIBRATION AND SHOCK, 2015, 34(18): 87-93.
[1] Gudmundson P. The dynamic behavior of slender structures with cross-sectional cracks[J]. Journal of Mechanics Physics Solids, 1983, 31(4):329–345.
[2] Shen M H H and Chu Y C. Vibrations of Beams with a Fatigue Crack[J]. Computers & Structures, 1992, 45(1):79–93.
[3] Chondros T, Dimarogonas A and Yao J. Vibration of a Beam with a Breathing Crack[J]. Journal of Sound and Vibration, 2001, 239(1):57–67.
[4] Pugno N, Surace C and Ruotolo R. Evaluation of the Non-Linear Dynamic Response to Harmonic Excitation of a Beam with Several Breathing Cracks[J]. Journal of Sound and Vibration, 2000, 235(5):749–762.
[5] Bovsunovsky A P and Surace C. Consideration Regarding Superharmonic Vibrations of a Cracked Beam and the Variation in Damping Caused by the Presence of the Crack[J]. Journal of Sound and Vibration, 2005, 288(4–5):865–886.
[6] 胡家顺, 冯新, 周晶. 呼吸裂纹梁非线性动力特性研究。振动与冲击, 2009, 28(1):76–87.
Hu Jiashun, Feng Xin and Zhou Jing. Study on nonlinear dynamic response of a beam with a breathing crack[J]. Journal of vibration and shock, 2009, 28(1):76–87.
[7] Chen Lienwen and Shen Gengshin. Dynamic stability of cracked rotating beams of general orthotropy[J]. Composite Structures, 1997, 37(2):165–172.
[8] Wu M C and Huang S C. On the vibration of a cracked rotating blade. Shock and Vibration[J], 1998, 5(5–6):317–323.
[9] Saito A, Castanier M P, Pierre C and Poudou O. Efficient nonlinear vibration analysis of the forced response of rotating cracked blades[J]. Journal of Computational and Nonlinear Dynamics, 2008, 4(1):011005.
[10] Arvin H and Bakhtiari-Nejad F. Non-linear modal analysis of a rotating beam[J]. International Journal of Non-Linear Mechanics, 2011, 46(6):877–897.
[11] Rezaee M and Hassannejad R. Free vibration analysis of simply supported beam with breathing crack using perturbation method[J]. Acta Mechanica Solida Sinica, 2010, 23(5):459–470.
[12] Dimarogonas A D and Paipetis S A. Analytical methods in rotor dynamics[M]. Elsevier Applied Science, London, 1986.
[13] Douka E and Hadjileontiadis L J. Time–frequency analysis of the free vibration response of a beam with a breathing crack[J]. NDT&E International 2005, 38(1):3–10.
[14] Cheng M, Wu J and Wallace W. Vibrational response of a beam with a breathing Crack[J]. Journal of Sound and vibration, 225(1):201–208
[15] 陈予恕. 非线性振动. 高等教育出版社, 北京, 2002.
Chen Yushu. Nonlinear Vibration[M]. Higher Education Press, Beijing, china, 2002.