The Dynamic and Vibration Response of Composite Cylindrical Shell Under Thermal Shock and Mild Heat Field
Subject Areas : EngineeringS. A Mousavi 1 , M Rahmani 2 , M kaffash Mirzarahimi 3 , S Mahjoub Moghadas 4
1 - Mechanical Engineering Faculty, Imam Hossein University,Thehran, Iran
2 - Mechanical Engineering Faculty, Imam Hossein University,Thehran, Iran
3 - Mechanical Engineering Faculty, Imam Hossein University,Thehran, Iran
4 - Mechanical Engineering Faculty, Imam Hossein University,Thehran, Iran
Keywords: Vibration, Composite, Thermal field, Thermal Shock,
Abstract :
In this article, the vibration and dynamic response of an orthotropic composite cylindrical shell under thermal shock loading and thermal field have been investigated. The problem is that the shell is initially located at a first temperature, and some tension caused by a mild heat field is created, then the surface temperature of the cylinder suddenly increases. The partial derivative equations of motion are in the form of couplings with the heat equations. First, the equations of motion are derived by the Hamilton principle, here first-order shear theory and considering strain-shift relations of Sanders are used. Then, the equation system including the equations of motion and energy equations by the Runge–Kutta fourth-order methodare solved. In this study, the effects of length, temperature, thickness and radius parameters on natural frequencies and intermediate layer displacement are investigated. The results show that the increase in external temperature decreases the natural frequency and increases the displacement of the system. Also, the results of radial transitions were evaluated with previous studies and it was found that it is in good agreement with the results of previous papers.
[1] McQuillen E.J., Brull M.A., 1970, Dynamic thermoelastic response of cylindrical shells, Journal of Applied Mechanics 37(3): 661-670.
[2] Biot M.A., 1956, Thermoelasticity and irreversible thermodynamics, Journal of Applied Physics 27(3): 240-253.
[3] Timoshenko S., Winoowsky-Krieger S., 1959, Theory of Plates and Shells, McGraw-Hill.
[4] Boley B.A., Weiner J.H., 1960, Theory of Thermal Stresses, John Wiley & Sons.
[5] Nowacki W., 1962, Thermoelasticity, Pergamon Press.
[6] Ugural A.C., 1981, Stresses in Plates and Shells, McGraw-Hill.
[7] Awrejcewicz J., Krysko V.A., 2003, Coupled thermoelasticity problems of shallow shells, Systems Analysis Modelling Simulation 43(3): 269-286.
[8] Awrejcewicz J., Krysko V.A., 2003, Nonlinear coupled problems in dynamics of shells, International Journal of Engineering Science 41(6): 587-607.
[9] Huth J.H., 1953, Thermal stress in conical shells, Aeronaut 20: 613-616.
[10] Huth J.H., 1955, Thermal stress in conical shells, Aeronaut 22: 506-508.
[11] Eslami M.R., Vahedi H., 1991, A general finite element stress formulation of dynamic thermoelastic problems using Galerkin method, Journal of Thermal Stresses 14: 143-159.
[12] Eslami M.R., Shakeri M., Sedaghati R., 1994, Coupled thermoelasticity of axially symmetric cylindrical shell, Journal of Thermal Stresses 17(1): 115-135.
[13] Eslami M.R., Shakeri M., Ohadi A.R., Shiari B., 1999, Coupled thermoelasticity of shells, effect of normal stress and coupling, AIAA Journal 37(4): 496-504.
[14] Hakimelahi B., Soltani N., 1999, A solution for the coupled dynamic thermoelastic problems of thin cylindrical shells under pressure shear and temperature shocks using finite element methods, Journal of Faculty of Engineering 33(3): 73-86.
[15] Eslami M. R., Mousavi S. M., 1998, Dynamic analysis of conical shells under mechanical and thermal loading by Galerkin finite element method, Second Conference of Aerospace Engineering, Iran.
[16] Tarn J.Q., 2001, Exact solutions for functionally graded anisotropic cylinders subjected to thermal and mechanical loads, International Journal of Solids and Structures 38(46-47): 8189-8206.
[17] Alibeigloo A., 2011, Thermoelastic solution for static deformations of functionally graded cylindrical shell bonded to thin piezoelectric layers, Composite Structures 93(2): 961-972.
[18] Ansari R., Torabi J., Faghih Shojaei M., 2016, Free vibration analysis of embedded functionally graded carbon nanotube-reinforced composite conical/cylindrical shells and annular plates using a numerical approach, Journal of Vibration and Control 24(6): 1123-1144.
[19] Alibeigloo A., 2016, Elasticity solution of functionally graded carbon nanotube-reinforced composite cylindrical panel subjected to thermo mechanical load, Composites Part B: Engineering 87: 214-226.
[20] Kiani Y., Eslami M.R., 2014, Geometrically non-linear rapid heating of temperature-dependent circular FGM plates, Journal of Thermal Stresses 37(12): 1495-1518.
[21] Ghiasian S.E., Kiani Y., Eslami M.R., 2014, Non-linear rapid heating of FGM beams, International Journal of Non-Linear Mechanics 67: 74-84.
[22] Alipour S.M., Kiani Y., Eslami M.R., 2016, Rapid heating of FGM rectangular plates, Acta Mechanica 227(2): 421-436.
[23] Keibolahi A., Kiani Y., Eslami M.R., 2018, Nonlinear rapid heating of shallow arches, Journal of Thermal Stresses 41(10-12): 1244-1258.
[24] Esmaeili H.R., Arvin H., Kiani Y., 2019, Axisymmetric nonlinear rapid heating of FGM cylindrical shells, Journal of Thermal Stresses 42(4): 490-505.
[25] Keibolahi A., Kiani Y., Eslami M.R., 2018, Dynamic snap-through of shallow arches under thermal shock, Aerospace Science and Technology 77: 545-554.
[26] Javani M., Kiani Y., Eslami M.R., 2019, Geometrically nonlinear rapid surface heating of temperature-dependent FGM arches, Aerospace Science and Technology 90: 264-274.
[27] Javani M., Kiani Y., Eslami M.R., 2019, Large amplitude thermally induced vibrations of temperature dependent annular FGM plates, Composites Part B: Engineering 163: 371-383.
[28] Chang J.S., Shyong J.W., 1994, Thermally induced vibration of laminated circular cylindrical shell panels, Composites Science and Technology 51(3): 419-427.
[29] Bert C.W., Kumar M., 1982, Vibration of cylindrical shells of bimodulus composite materials, Journal of Sound and Vibration 81(1):107-121.
[30] Vinson J.R., Sierakowski R.L., 2006, The Behavior of Structures Composed of Composite Materials, Springer Science & Business Media.
[31] Eslami M.R., Shakeri M., Sedaghati R., 1994, Coupled thermoelasticity of an axially symmetric cylindrical shell, Journal of Thermal Stresses 17(1): 115-135.
[32] Pothula S.G., 2009, Dynamic Response of Composite Cylindrical Shells under External Impulsive Loads, PhD Thesis, University of Akron.
[33] Kang S.G., Young K.J., 2016, Thermo-mechanical response of multi-layered cylinders under pressure and thermal loading with generalized plane strain condition, ASME 2016 Pressure Vessels and Piping Conference, American Society of Mechanical Engineers.
[34] Zhengwei H., Chengjun W., 2015, Vibration analysis for the cylindrical shell and plate composite structure using the mixed-mode substructure method, Proceedings of the 22nd International Congress on Sound & Vibration, Florence, Italy.
[35] Eslami M., Vahedi H., 1992, Galerkin finite element displacement formulation of coupled thermoelasticity spherical problems, Journal of Pressure Vessel Technology 114(3): 380-384.
[36] Shiari B., Eslami M.R., Shaker M., 2003, Thermomechanical shocks in composite cylindrical shells: a coupled thermoelastic finite element analysis, Scientia Iranica 10(1): 13-22.
[37] Prince P.J., Dormand J.R., 1981, High order embedded Runge-Kutta formulae, Journal of Computational and Applied Mathematics 7(1): 67-75.