Transient Nonlinear Vibration of Randomly Excited Cylindrical Shallow Panels in Non Aging Viscous Medium
Subject Areas : Engineering
1 - Hydro-Aeronautical Research Center, Shiraz University, Shiraz, Iran
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Abstract :
Amabili M., Paıdoussis P., 2003, Review of studies on geometrically nonlinear vibrations and dynamics of circular cylindrical shells and panels, with and without fluid-structure interaction, Applied Mechanics Reviews 56(4): 349-381.
[2] Paı¨doussis MP., 2003, Fluid-Structure Interactions: Slender Structures and Axial Flow, Elsevier/Academic Press, London, UK.
[3] Kubenko V.D., Koval’chuk P.S., 1998, Nonlinear problems of the vibration of thin shells review, International Applied Mechanics 34: 703-728.
[4] Mei C., Abdel-Motagaly K., Chen R., 1999, Review of nonlinear panel flutter at supersonic and hypersonic speeds, Applied Mechanics Reviews 52(10): 321-332.
[5] Abrate S., 2007, Transient response of beams, plates, and shells to impulsive loads, In ASME 2007 International Mechanical Engineering Congress and Exposition 9: 107-116.
[6] Bodaghi M., Shakeri M., 2012, An analytical approach for free vibration and transient response of functionally graded piezoelectric cylindrical panels subjected to impulsive loads, Composite Structures 94(5): 1721-1735.
[7] Şenyer M., Kazanci Z., 2012, Nonlinear dynamic analysis of a laminated hybrid composite plate subjected to time-dependent external pulses, Acta Mechanica Solida Sinica 25(6): 586-597.
[8] Lutes L. D., 1997, Stochastic Analysis of Structural and Mechanical Vibrations, Prentice Hall.
[9] Mahadevan S., 1997, Monte Carlo simulation, Mechanical Engineering New York and Basel-Marcel Dekker.
[10] Risken H., 1984, Fokker-Planck Equation , Springer Berlin Heidelberg.
[11] Bolotin V. V. E., 2013, Random Vibrations of Elastic Systems , Springer Science & Business Media.
[12] Zhu W.Q., 1996, Recent developments and applications of the stochastic averaging method in random vibration, Applied Mechanics Reviews 49(10S): S72-S80.
[13] Roberts J. B., Spanos P. D., 2003, Random Vibration and Statistical Linearization, Courier Corporation.
[14] Wang D., 2007, Numerical and Experimental Studies of Self-Centering Post-Tensioned Steel Frames, ProQuest.
[15] Ilki A., Fardis M. N., 2013, Seismic Evaluation and Rehabilitation of Structures, Springer.
[16] Zhu H. T., Er G. K., Iu V. P., Kou K. P., 2011, Probabilistic solution of nonlinear oscillators excited by combined Gaussian and Poisson white noises, Journal of sound and vibration 330(12): 2900-2909.
[17] Asnafi A., 2014, Analytic bifurcation investigation of cylindrical shallow shells under lateral stochastic excitation, Modares Mechanical Engineering 14(5): 77-84.
[18] Potapov V. D., 1999, Stability of Stochastic Elastic and Viscoelastic Systems, Wiley.
[19] Chen L. Q., Zhang N. H., Zu J. W., 2003, The regular and chaotic vibrations of an axially moving viscoelastic string based on fourth order Galerkin truncation, Journal of Sound and Vibration 261(4): 764-773.
[20] Haddad Y. M., 1995, Viscoelasticity of Engineering Materials, Chapman & Hall, 2-6 Boundary Row, London, UK.
[21] Drozdov A. D., 1998, Viscoelastic Structures: Mechanics of Growth and Aging, Academic Press.
[22] Janno J., 2003, Determination of degenerate relaxation functions in three-dimensional viscoelasticity, Proceedings of the Estonian Academy of Sciences, Physics and Mathematics 52(2): 171-185.
[23] Banks H. T., Hu S., Kenz Z. R., 2011, A brief review of elasticity and viscoelasticity for solids, Advances in Applied Mathematics and Mechanics 3(1): 1-51.
[24] Eierle B., Schikora K., 1999, Computational viscoelasticity of aging materials, In European Conference on Computational Mechanics (ECCM), München, Germany.
[25] Lin Y. K., Cai G. Q., 2004, Probabilistic Structural Dynamics: Advanced Theory and Applications, Mcgraw-Hill Professional Publishing.
[26] Papoulis A., Pillai S. U., 2002, Probability, Random Variables, and Stochastic Processes, Tata McGraw-Hill Education.
[27] Ahn A., Haugh M., 2014, Linear Programming and the Control of Diffusion Processes , Informs Journal on Computing 27: 646-657.
[28] Haugh M., 2004, Generating Random Variables and Stochastic Processes, Lecture Notes, Monte Carlo Simulation, IEOR E4703.