Damping Characteristic Analysis of Cantilever Beam with Straight Crack
MA Hui1,2， WU Shuang1， ZENG Jin1， ZHANG Wen-sheng1
1. School of Mechanical Engineering & Automation， Northeastern University， Shenyang 110819， China； 2. State Key Laboratory for Strength and Vibration of Mechanical Structures， Xi′an Jiaotong University， Xi'an 710049， China.
[1]Chati M，Rand R，Mukherjee S J.Modal analysis of a cracked beam ［J］.Journal of Sound and Vibration，1997，207(2):249-270. [2]Andreaus U，Baragatti P.Cracked beam identification by numerically analyzing the nonlinear behavior of the harmonically forced response ［J］.Journal of Sound and Vibration，2011，330(4):721-742. [3]Peng Z K，Lang Z Q，Billings S A.Crack detection using nonlinear output frequency response functions［J］.Journal of Sound and Vibration，2007，301(3):777-788. [4]Panteliou S D，Chondros T G，Argyrakis V C.Damping factor as an indicator of crack severity ［J］.Journal of Sound and Vibration，2001，241(2):235-245. [5]Rezaee M，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. [6]Bovsunovsky A P，Surace C.Considerations 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. [7]Rizos P F，Aspragathos N，Dimarogonas A D.Identification of crack location and magnitude in a cantilever beam from the vibration modes ［J］.Journal of Sound and Vibration，1990，138(3):381-388. [8]崔韦，王建军.共振条件下的裂纹梁振动与裂纹扩展耦合分析 ［J］.推进技术，2014，35(10):1404-1411.(Cui Wei，Wang Jian-jun.Coupling analysis of vibration and crack propagation for a cracked beam at reesonant state ［J］.Journal of Propulsion Technology，2014，35(10):1404-1411.) [9]Chu Y C，Shen M H H.Analysis of forced bilinear oscillators and the application to cracked beam dynamics［J］.Journal of American Institute of Aeronautics and Astronautics，1992，30(10):2512-2519. [10]Andreaus U，Casini P，Vestroni F.Non-linear dynamics of a cracked cantilever beam under harmonic excitation ［J］.International Journal of Non-linear Mechanics，2007，42(3):566-575. [11]Cheng S M，Wu X J，Wallace W.Vibration response of a beam with a breathing crack ［J］.Journal of Sound and Vibration，1999，225(1):201-208. [12]Andreaus U，Baragatti P.Fatigue crack growth，free vibrations and breathing crack detection of aluminum alloy and steel beams ［J］.The Journal of Strain Analysis for Engineering Design，2009，44(7):595-608.
