Estimation of Random Sonic Fatigue Life Based on Peak Probability Density of Von Mises Stress

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Abstract:

As to the random sonic fatigue problem of thin walled structure of aerospace flight vehicle, estimation method for fatigue life based on Von Mises stress peak probability density is investigated. Assuming that Von Mises stress process satisfies three-parameter Weibull distribution, the peak probability density function of Von Mises stress is derived through the threshold crossing analysis and the peak distribution analysis of stationary random process. According to the Miner linear cumulative damage theory, the method for estimating the fatigue life in the frequency domain is established with the Von Mises stress peak probability density function applied. As an example, an aero-engine Combustor liner is considered, using coupled Finite Element Method (FEM) and Boundary Element Method (BEM) method, the structure vibration response to limited bandwidth Gaussian white noise is calculated. Based on the results, fatigue life of the structure is estimated by using the proposed method. Further more, the influences of the probability density function which is characterized by three-parameter Weibull distribution and two-parameter Weibull distribution respectivily for Von Mises stress response of the Combustor liner structure subjected to random accoustic loadings are discussed.

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Advanced Materials Research (Volumes 199-200)

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913-921

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February 2011

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© 2011 Trans Tech Publications Ltd. All Rights Reserved

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[1] X. Pitoiset, A. Preumont. Spectral methods for multiaxial random fatigue analysis of metallic structures [J]. International Journal of Fatigue, 2000, V22: 541-550.

DOI: 10.1016/s0142-1123(00)00038-4

Google Scholar

[2] Ander Preumont and Vincent Piefort. Pre-dicting random high-cycle fatigue life with finite elements [J]. Journal of vibration and acoustics, 1994, V116: 245-148.

DOI: 10.1115/1.2930420

Google Scholar

[3] Yundong Sha, Xiaopeng Guo, Jun Zhang. Research on the random sonic fatigue life estimation of an combustor linear structure [A]. The Fifth International Conference on VIBRATION ENGINEERING AND TECHNOLOGY OF MACHINERY Huazhong University of Science and Technology [C]. Wuhan, P. R. CHINA. 27-28, August, 2009. 157-163.

Google Scholar

[4] Yishan Jin, Lin Li. Probability Density Function of Von Mises Stress for Structures undergoing random excitations [J]. Journal of Applied Mechanics, 2004, 21(3): 13-16(In Chinese).

Google Scholar

[5] Yundong Sha, Xiaopeng Guo, Jun Zhang. Research on the random sonic fatigue life prediction based on the stress probability density and power spectrum density method [J]. Journal of vibration and shock, 2010, 29 (1): 162-165(In Chinese).

Google Scholar

[6] Smart J, Mitchell B C. Fok S L. The effect of the threshold stress on the determination of the Weibull parameters in probadilistic failure analysis [J]. Engineer Fracture Mechnics, 2003, 70: 2559-2567.

DOI: 10.1016/s0013-7944(03)00070-5

Google Scholar

[7] Dan Segalman, Garth Reese, Richard Field, Jr. and Clay Fulcher. Estimating the probability distribution of Von Mises stress for structures undergoing random excitation [J]. Transactions of the ASME, Journal of vibration and acoustics, 2000, V122: 42-48.

DOI: 10.1115/1.568442

Google Scholar

[8] Cheni mu-tsan and Ronal Harichandran. Statistics of the Von Mises Stress Response for Structures Subjected to Random Excitation [J], Shock and Vibration, 1998 Vol. 5(1): 13-21.

DOI: 10.1155/1998/162424

Google Scholar

[9] Dan Segalman, Garth Reese, Richard Field, Jr., and Clay Fulcher. Estimating the probability distribution of von Mises stress for structures undergoing random excitation[J]. Transactions of the ASME, Journal of vibration and acoustics, 2000, V122: 42-48.

DOI: 10.1115/1.568442

Google Scholar

[10] A Zaharim, AM Razali, RZ Abidin, K Sopian. Fitting of Statistical Distributions to Wind Speed Data in Malaysia. European Journal of Scientific Research, Vol. 26 No. 1 (2009), pp.6-12.

Google Scholar

[11] P. H. Wirsching and M. C. Light. Fatigue under wide band random stresses [J]. J Struct Div, ASCE, 1980, V106: 1593-1607.

DOI: 10.1061/jsdeag.0005477

Google Scholar