Dynamic Analysis of a Composite Structure under Random Excitation Based on the Spectral Element Method

References

[1] A. Papoulis and S. U. Pillai, Probability, random variables and stochastic processes, McGraw-Hill, Boston, 2002.Search in Google Scholar

[2] J. Li and J. Chen, Structural dynamics and probabilistic analyses for engineers, John Wiley & Sons, 2009.Search in Google Scholar

[3] G. Maymon, Stochastic dynamics of structures, Butterworth-Heinemann, Oxford, 2008.Search in Google Scholar

[4] D. E. Newland, An introduction to random vibrations, spectral & wavelet analysis, Dover Publications, New York, 2005.Search in Google Scholar

[5] J. F. Doyle, A spectrally formulated finite elements for longitudinal wave propagation, J. Anal. Exp. Modal Anal. 3 (1988), 1–5.10.1111/j.1747-1567.1988.tb02091.xSearch in Google Scholar

[6] J. F. Doyle, Wave propagation in structures : spectral analysis using fast discrete Fourier transforms, second ed. Mechanical engineering. Springer-Verlag New York, Inc., New York, 1997.10.1007/978-1-4612-1832-6Search in Google Scholar

[7] U. Lee, Spectral element method in structural dynamics, Inha University Press, 2004.Search in Google Scholar

[8] U. Lee and J. Kim, Determination of nonideal beam boundary conditions: a spectral element approach, AIAA J. 38 (2000), 309–316. doi.org/10.2514/2.958.10.2514/2.958Search in Google Scholar

[9] J. F. Doyle, Wave propagation in structures, Springer Verlag, New York, 1989.10.1007/978-1-4684-0344-2Search in Google Scholar

[10] J. Choi and D. Inman, Spectrally formulated modeling of a cable-harnessed structure, J. Sound Vibr. 333(14) (2014), 3286–3304.10.1016/j.jsv.2014.03.020Search in Google Scholar

[11] X. Liu and J. R. Banerjee, A spectral dynamic stiffness method for free vibration analysis of plane elastodynamic problems, Mech. Syst. Sig. Process. 87 (2017), 136–160.10.1016/j.ymssp.2016.10.017Search in Google Scholar

[12] A. Pagani, E. Carrera, M. Boscolo and J. R. Banerjee, Refined dynamic stiffness elements applied to free vibration analysis of generally laminated composite beams with arbitrary boundary conditions, Compos. Struct. 110 (2014), 305–316.10.1016/j.compstruct.2013.12.010Search in Google Scholar

[13] S. Gopalakrishnan, Wave propagation in materials and structures, CRC Press Taylor & Francis Group, New York, 2016.10.1201/9781315372099Search in Google Scholar

[14] S. Gopalakrishnan, A. Chakraborty and D. R. Mahapatra, Spectral finite element method, Springer Verlag, New York, 2007.Search in Google Scholar

[15] M. Palacz, M. Krawczuk and W. Ostachowicz, The spectral finite element model for analysis of flexural-shear coupled wave propagation. part 1 laminated multilayer composite beam, Comput. Struct. 68 (2005), 37–44.10.1016/j.compstruct.2004.02.012Search in Google Scholar

[16] S. R. SA and J. Doyle, A spectral element approach to wave motion in layered solids, J. Vibr. Acoust. 114 (1992), 569–577.10.1115/1.2930300Search in Google Scholar

[17] U. Lee, Dynamic characterization of the joints in a beam structure by using spectral element method, Shock Vibr. 8(6) (2000), 357–366.10.1155/2001/254020Search in Google Scholar

[18] M. R. Machado, A. Appert and L. Khalij, Dynamic analysis of a fatigue specimen subjected to a random base excitation via spectral element method, in: Proceedings of the joint ICVRAM ISUMA uncertainties conference, 2018.Search in Google Scholar

[19] J. N. Kapur and H. K. Kesavan, Entropy optimization principles with applications, Academic Press, Boston, 1992.10.1007/978-94-011-2430-0_1Search in Google Scholar

[20] C. Soize, Random matrix theory and non-parametric model of random uncertainties in vibration analysis, J. Sound Vibr. 263 (2003), 893–916.10.1016/S0022-460X(02)01170-7Search in Google Scholar

[21] C. Soize, Uncertainty quantification – an accelerated course with advanced applications in computational engineering, 1st ed. Interdisciplinary Applied Mathematics. Elsevier, 2017.10.1007/978-3-319-54339-0Search in Google Scholar

[22] R. Calfisch, Monte Carlo and quasi mone carlo methods, Acta Numer. 1 (1998), 2–49.10.1017/S0962492900002804Search in Google Scholar

[23] H. Pradlwarter and G. Schuüller, On advanced Monte Carlo simulation procedures in stochastic structural dynamics, Int. J. Non-Linear Mech. (Third International Stochastic Structural Dynamics Conference) 32(4) (1997), 735–744.10.1016/S0020-7462(96)00091-1Search in Google Scholar

[24] R. Rubinstein and D. Kroese, Simulation and the Monte Carlo method, John Wiley & Sons, USA, 2008.10.1002/9780470230381Search in Google Scholar

[25] I. M. Sobol’, A primer for the Monte Carlo method, CRC-Press Taylor & Francis Group, Florida, 1994.Search in Google Scholar

[26] D. Gay, Materials design and applications, CRC-Press Taylor & Francis Group, Florida, 2015.Search in Google Scholar

[27] J. N. Reddy, Mechanics of laminated composite plates and shells - theory and analysis, Second Edition, CRC-Press Taylor & Francis Group, Florida, 2003.10.1201/b12409Search in Google Scholar

[28] M. Palacz, M. Krawczuk and W. Ostachowicz, The spectral finite element model for analysis of flexural-shear coupled wave propagation. Part 2: Delaminated multilayer composite beam, Compos. Struct. 68 (2005), 45–51.10.1016/j.compstruct.2004.02.013Search in Google Scholar

[29] E. Jaynes, Information theory and statistical mechanics, Phys. Rev. 106 (4) (1957), 1620–1630.10.1103/PhysRev.106.620Search in Google Scholar

[30] E. Jaynes, Information theory and statistical mechanics II, Phys. Rev. 108 (1957), 171–190.10.1103/PhysRev.108.171Search in Google Scholar

[31] C. E. Shannon, A mathematical theory of communication, Bell Syst Tech. J. 27 (1948), 379–423 and 623–659.10.1002/j.1538-7305.1948.tb01338.xSearch in Google Scholar

[32] J. N. Kapur and H. K. Kesavan, Entropy optimization principles with applications, Academic Press, Inc., USA, 1992.10.1007/978-94-011-2430-0_1Search in Google Scholar