Abstract
The panel-type structures used in aerospace engineering can be subjected to severe high-frequency acoustic loadings in service. This paper evaluates the frequency-dependent random fatigue of panel-type structures made of ceramic matrix composites (CMCs) under acoustic loadings. Firstly, the high-frequency random responses from the broadband random excitation will result in more stress cycles in a definite period of time. The probability density distributions of stress amplitudes will be different in different frequency band-widths, though the peak stress estimations are identical. Secondly, the fatigue properties of CMCs can be highly frequency-dependent. The fatigue evaluation method for the random vibration case is adopted to evaluate the fatigue damage of a representative stiffened panel structure. The frequency effect through S-N curves on random fatigue damage is numerically verified. Finally, a parameter is demonstrated to characterize the mean vibration frequency of a random process, and hence this parameter can further be considered as a reasonable loading frequency in the fatigue tests of CMCs to obtain more reliable S-N curves. Therefore, the influence of vibration frequency can be incorporated in the random fatigue model from the two perspectives.
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References
C.F. Design, fabrication, and application of thermostructural composites (TSC) like C/C, C/SiC, and SiC/SiC composites, Adv. Eng. Mater. 4 (12) (2002) 903–912.
R.R. Naslain, SiC-matrix composites: nonbrittle ceramics for thermo-structural application, Int. J. Appl. Ceramic Technol. 2 (2) (2005) 75–84.
T. Pichon, R. Barreteau, P. Soyris, A. Foucault, J.M. Parenteau, Y. Prel, et al., CMC thermal protection system for future reusable launch vehicles: Generic shingle technological maturation and tests, Acta Astronautica. 65 (1) (2009) 165–176.
R.G. White, P.R. Cunningham, A review of analytical methods for aircraft structures subjected to high-intensity random acoustic loads, Proc. Inst. Mech. Eng., Part G: J. Aerosp. Eng. 218 (3) (2004) 231–242.
J. Nilsson, R.-Z. Szász, P.-E. Austrell, E.J. Gutmark, Load and Response Prediction Using Numerical Methods in Acoustic Fatigue, J. Aircraft. 53 (2) (2016) 406–415.
B. Arguillat, D. Ricot, C. Bailly, G. Robert, Measured wavenumber: frequency spectrum associated with acoustic and aerodynamic wall pressure fluctuations, J. Acoust. Soc. Am. 128 (4) (2010) 1647–1655. PubMed PMID: 20968337.
Y.D. Sha, L. Zhu, X.B. Jie, X.C. Luan, F.F. Feng, Nonlinear random response and fatigue life estimation of curved panels to non-uniform temperature field and acoustic loadings, J. Vib. Control. 22 (3) (2014) 896–911.
Y. Zhou, S. Wu, Z. Tan, Q. Fei, Temperature-dependence of acoustic fatigue life for thermal protection structures, Theor. Appl. Mech. Lett. 4 (2) (2014) 021005.
L. Liu, Q. Guo, T. He, Thermal-acoustic fatigue of a multilayer thermal protection system in combined extreme environments, Adv. Mech. Eng. 6 (2015) 176891.
A. Vassilopoulos, Fatigue Life Prediction of Composites and Composite Structures, New Delhi: Woodhead Publishing Limited, Oxford, Cambridge, 2010.
J.W. Holmes, S.F. Shuler, Temperature rise during fatigue of fibre-reinforced ceramics, J. Mater. Sci. Lett. 9 (11) (1990) 1290–1291.
S.F. Shuler, J.W. Holmes, X. Wu, D. Roach, Influence of loading frequency on the room-temperature fatigue of a carbon-fiber/SiC-matrix composite, J. Am. Ceramic Soc. 76 (9) (1993) 2327–2336.
J.W. Holmes, X. Wu, B.F. Sorensen, Frequency dependence of fatigue life and internal heating of a fiber-reinforced/ceramic-matrix composite, J. Am. Ceramic Soc. 77 (12) (1994) 3284–3286.
J.M. Staehler, S. Mall, L.P. Zawada, Frequency dependence of high-cycle fatigue behavior of CVI C/SiC at room temperature, Compos. Sci. Technol. 63 (15) (2003) 2121–2131.
S. Mall, J.M. Engesser, Effects of frequency on fatigue behavior of CVI C/SiC at elevated temperature, Compos. Sci. Technol. 66 (7–8) (2006) 863–874.
M.B. Ruggles-Wrenn, G. Hetrick, S.S. Baek, Effects of frequency and environment on fatigue behavior of an oxide–oxide ceramic composite at 1200°C, Int. J. Fatigue 30 (3) (2008) 502–516.
M.B. Ruggles-Wrenn, D.T. Christensen, A.L. Chamberlain, J.E. Lane, T.S. Cook, Effect of frequency and environment on fatigue behavior of a CVI SiC/SiC ceramic matrix composite at 1200°C, Compos. Sci. Technol. 71 (2) (2011) 190–196.
J.J. Hollkamp, R.W. Gordon, S.M. Spottswood, Nonlinear modal models for sonic fatigue response prediction: a comparison of methods, J. Sound Vib. 284 (3–5) (2005) 1145–1163.
M. Behnke, A. Sharma, A. Przekop, S. Rizzi, Thermal-acoustic analysis of a metallic integrated thermal protection system structure, in: Proceedings of the 51st AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference; Orlando, Florida: American Institute of Aeronautics and Astronautics, 2010.
W. Li, Y. Li, Vibration and sound radiation of an asymmetric laminated plate in thermal environments, Acta Mechanica Solida Sinica. 28 (1) (2015) 11–22.
Q. Geng, D. Wang, Y. Liu, Y. Li, Experimental and numerical investigations on dynamic and acoustic responses of a thermal post-buckled plate, Sci. China Technol. Sciences. 58 (8) (2015) 1414–1424.
M. Aykan, M. Çelik, Vibration fatigue analysis and multi-axial effect in testing of aerospace structures, Mech. Syst. Signal Process. 23 (3) (2009) 897–907.
Y. Zhou, Q. Fei, S. Wu, Utilization of modal stress approach in random-vibration fatigue evaluation, in: Proceedings of the Institution of Mechanical Engineers, Part G: Journal of Aerospace Engineering, 2016 Epub ahead of print 26 Oct 2016.
S.-H. Han, D.-G. An, S.-J. Kwak, K.-W. Kang, Vibration fatigue analysis for multi-point spot-welded joints based on frequency response changes due to fatigue damage accumulation, Int. J. Fatigue. 48 (2013) 170–177.
M. Mršnik, J. Slavič, M. Boltežar, Frequency-domain methods for a vibration-fatigue-life estimation – Application to real data, Int. J. Fatigue. 47 (2013) 8–17.
Y. Wang, Spectral fatigue analysis of a ship structural detail – A practical case study, Int. J. Fatigue. 32 (2) (2010) 310–317.
D. Benasciutti, R. Tovo, Comparison of spectral methods for fatigue analysis of broad-band Gaussian random processes, Probabilistic Eng. Mech. 21 (4) (2006) 287–299.
Dirlik T. Application of Computers in Fatigue Analysis: University of Warwick; 1985.
P.R. Cunningham, R.G. White, Dynamic response of doubly curved honeycomb sandwich panels to random acoustic excitation. Part 1: Experimental study, J. Sound Vib. 264 (3) (2003) 579–603.
DoD. U.S.A. Military standard: environmental test methods and engineering guidelines. Acoustic noise. Ohio 1983.
Y.L. Lee, J. Pan, R. Hathaway, B. Mark, Fatigue Testing And Analysis: Theory And Practice, Elsevier Butterworth-Heinemann, Burlington, MA, 2005.
I.F. Blake, W.C. Lindsey, Level-crossing problems for random processes, IEEE Trans. Inf. Theory. 19 (3) (1973) 295–315.
J.J. Wijker, Random Vibrations in Spacecraft Structures design: Theory and Applications, in: G. GML (Ed.), Springer Dordrecht Heidelberg London New York: Springer Science & Business Media, 2009.
M. Shinozuka, G. Deodatis, Simulation of stochastic processes by spectral representation, Appl. Mech. Rev. 44 (4) (1991) 191–204.
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Zhou, Y., Hang, X., Wu, S. et al. Frequency-dependent random fatigue of panel-type structures made of ceramic matrix composites. Acta Mech. Solida Sin. 30, 165–173 (2017). https://doi.org/10.1016/j.camss.2017.03.010
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DOI: https://doi.org/10.1016/j.camss.2017.03.010