PSI - Issue 35

A. Bovsunovsky et al. / Procedia Structural Integrity 35 (2022) 74–81 Author name / Structural Integrity Procedia 00 (2019) 000 – 000

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5. Conclusions Tests of the blades, carried out at a low level of stress amplitude, demonstrated a high sensitivity of the second harmonic in the spectrum of strain and acceleration vibration response at the super-harmonic resonance of order 2/1 to the presence of small crack. This sensitivity exceeds that one at the principal resonance up to two orders of magnitude. The non-linear distortions of the acceleration vibration response turned out to be several times higher than the analogous distortions of the strain response. This means that the use of acceleration response is much more effective for the vibration diagnostics of damage than the strain one. The higher harmonics method takes significantly longer to test a blade than to determine damping characteristic. For the low damping structural elements, such as the investigated blades, finding the principal and especially super harmonic resonance takes time. In addition, a sharp super-harmonic resonance causes a noticeable error of the second harmonic determination in the vibration response of damaged blade. However, the higher harmonics method does not require initial data for an intact blade. Determination of logarithmic decrement of vibration requires finding the principal resonance, excitation of vibrations of a given amplitude and recording of the damped vibration process. Its processing is almost instantaneously performed by the PC with special software to obtain the amplitude dependence of damping characteristic. Thus, the process of damage diagnostics based on the determination of damping characteristic is faster and easier to implement than the higher harmonics method. However, for the determination of crack-related change of damping characteristic, it is necessary to know its initial value for the intact blade. In general, super-harmonic resonance of the second order demonstrates a higher sensitivity to the presence of crack than the damping characteristic. The smallest considered in this work crack with an area 0.2% of the cross sectional area of the blade, which satisfies the Branch Standard-1-00304-79, causes an easily identifiable non linearity of vibration response at the super-harmonic resonance of order of 2/1. At that the change of damping characteristic slightly exceeds the error of its experimental determination. The change in the first natural frequency of the blade in this case was only 0.09%, which is insufficient for the detection of small cracks. Contemporary trends of increasing the reliability of vibration diagnostics of damage are based on the use of several methods simultaneously. This idea can be implemented regarding the methods considered in the work by the development of an automated diagnostics system based on the higher harmonics method, which is the subject of future research. References Afolabi, D., 1987. An anti-resonance technique for detecting structural damage. 5th International Modal Analysis Conference. London, 491 − 495. Bovsunovskii, A.P., 1999. Numerical study of vibrations of a nonlinear mechanical system simulating a cracked body. Strength of Materials 31, 571 – 581. Bovsunovskii, A.P., 2001. Vibrations of a nonlinear mechanical system simulating a cracked body. Strength of Materials 33, 370 – 379. Bovsunovsky, A.P., 2004. The mechanisms of energy dissipation in the non-propagating fatigue cracks in metallic materials. Engineering fracture mechanics 71, 2271 − 2281. Bovsunovsky, A.P., Kratko A.G., 1998. The shape of mechanical hysteresis loops for metals under harmonic loading. Journal of Testing and Evaluation 26, 31 − 37. Bovsunovsky, A.P., Surace, C., 2005. Considerations regarding superharmonic vibrations of a cracked beam and the variation in damping caused by the presence of the crack. Journal of Sound and Vibration 288, 865 − 886. Bovsunovsky, A., Surace, C., 2015. Non-linearities in the vibrations of elastic structures with a closing crack: A state of the art review. Mechanical Systems and Signal Processing 62-63, 129 − 148. Bovsunovskii, A.P., Surace, C., Bovsunovskii, O.A., 2006. The effect of damping and force application point on the non-linear dynamic behavior of a cracked beam at sub-and superresonance vibrations. Strength of Materials 38, 492 – 497. Branch Standard-1-00304-79. Blades of gas turbine engines. Normalization of compressor blades damage from outside objects. Collins, K.R., Plaut, R.H., Wauer, J., 1992. Free and forced longitudinal vibrations of a cantileverd bar with a crack. The American Society of Mechanical Engineers. Journal of Vibration, Acoustics, Stress, and Reliability in Design 114, 171 − 177. Nalimov, Yu., 2014. Analysis of damage of gas turbine engines blades. Metal and Casting of Ukraine 12, 17 − 21. Pisarenko, G.S., Yakovlev, A.P., Matveev, V.V., 1971. Vibration absorbing properties of structural materials (Handbook) [in Russian]. Kiev, Naukova Dumka. Tsyfansky, S.L., Beresnevich, V.I., 2000. Non-linear vibration method for detection of fatigue cracks in aircraft wings. Journal of Sound and Vibration 236, 49 − 60.

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