Iranian Journal of Mechanical Engineering Transactions of the ISME

Iranian Journal of Mechanical Engineering Transactions of the ISME

Nonlinear Coupled Thermoelasticity of Cylindrical Shells Resting on Elastic Foundation

Document Type : Research Paper

Authors
Hossein Eliasi 1
Gholamhasan Payeganeh 2
Majid Shahgholi 2
Mohammad Reza Eslami 3
1 Ph.D. Candidate, Department of Mechanical Engineering, Shahid Rajaee Teacher Training University, Tehran, Iran
2 Associate Professor, Department of Mechanical Engineering, Shahid Rajaee Teacher Training University, Tehran, Iran
3 Professor, Department of Mechanical Engineering, Amirkabir University of Technology, Tehran, Iran
10.30506/jmee.2023.1998743.1314
Abstract
Kinematically nonlinear coupled thermoelasticity of the FGM cylindrical shell resting on elastic foundations is investigated under heat shock. The energy and equations of motion are solved simultaneously as a system of equations for an FG cylindrical shell. It is assumed that the shell is resting on the nonlinear Winkler elastic foundation. The classical theory of coupled thermoelasticity along with the first order shear deformation shell theory are used to solve the problem. The finite element method is employed to numerically solve the problem in the space domain and the Newmark method in time domain. Temperature distribution across the shell thickness is considered to be linear. The radial displacement distributions for different values of the power law index and the Winkler coefficients are plotted in terms of time.
Keywords
Nonlinear coupled thermoelasticity
Cylindrical shell
Functionally graded materials
Elastic foundation

Subjects

[1] S. Bochkarev, "Free Vibrations of a Cylindrical Shell Partially Resting on Elastic Foundation," Journal of Applied Mechanics and Technical Physics, Vol. 59, pp. 1242-1250, 2018, doi: https://doi.org/10.1134/S0021894418070039.
[2] D. Paliwal and R. K. Pandey, "The Free Vibration of a Cylindrical Shell on an Elastic Foundation," 1998, doi: https://doi.org/10.1115/1.2893828.
 
[3] A. Sofiyev, "Large Amplitude Vibration of FGM Orthotropic Cylindrical Shells Interacting with the Nonlinear Winkler Elastic Foundation," Composites Part B: Engineering, Vol. 98, pp. 141-150, 2016, doi: https://doi.org/10.1016/j.compositesb.2016.05.018.
 
[4] Hetnarski, R.B., and Eslami, M.R., Thermal Stresses – Advanced Theory and Applications, Second Edition,Switzerland, Springer, 2019, https://doi.org/10.1007/978-3-030-10436-8.
 
[5] A. Bahtui and M. Eslami, "Coupled Thermoelasticity of Functionally Graded Cylindrical Shells," Mechanics Research Communications, Vol. 34, No. 1, pp. 1-18, 2007, doi: https://doi.org/10.1016/j.mechrescom.2005.09.003.
 
[6] M. Eslami, M. Shakeri, and R. Sedaghati, "Coupled Thermoelasticity of an Axially Symmetric Cylindrical Shell," Journal of Thermal Stresses, Vol. 17, No. 1, pp. 115-135, 1994, https://doi.org/10.1080/01495739408946250.
 
[7] A. Bahtui and M. Eslami, "Generalized Coupled Thermoelasticity of Functionally Graded Cylindrical Shells," International Journal for Numerical Methods in Engineering, Vol. 69, No. 4, pp. 676-697, 200, doi: https://doi.org/10.1002/nme.1782.
 
[8] M. Eslami and A. Bahtui, Coupled Thermoelasticity of Thin Cylindrical Shells Made of Functionally Graded Material. Na, 2005.
 
[9] Eslami, M.R., Shakeri, M., and Shiari, B., "Coupled Thermoelasticity of Composite Laminated Cylindrical Shells", Proc. ASME-ESDA, Montpellier, France, 1996.
 
[10] B. Shiari, "Thermomechanical Shocks in Composite Cylindrical Shells: A Coupled Thermoelastic Finite Element Analysis," Scientia Iranica, Vol. 10, No. 1, pp. -, 2003. [Online]. Available: https://scientiairanica.sharif.edu/article_2663_78aa19f83998fdf8a879c8b0812e7321.pdf.
 
[11] M. Jafarinezhad and M. Eslami, "Coupled Thermoelasticity of FGM Annular Plate under Lateral Thermal Shock," Composite Structures, Vol. 168, pp. 758-771, 2017, doi: https://doi.org/10.1016/j.compstruct.2017.02.071.
 
[12] N. Wu, B. Rauch, and P. Kessel, "Perturbation Solutiontothe Dynamic Responseof OrthotropicCylindricalL Shellsusingthe Generalized TheoryofThermoelasticity," Journal of Thermal Stresses, Vol. 14, No. 4, pp. 465-477, 1991, doi: https://doi.org/10.1080/01495739108927080.
 
[13] H. Eliasi, M. Bateni, and M. Eslami, "Coupled Thermoelasticity of FGM Truncated Conical Shells," Iranian Journal of Mechanical Engineering Transactions of the ISME, Vol. 22, No. 1, pp. 127-142, 2021, doi: https://doi.org/10.30506/jmee.2021.131971.1239.
 
[14] A. Baghlani, M. Khayat, and S. M. Dehghan, "Free Vibration Analysis of FGM Cylindrical Shells Surrounded by Pasternak Elastic Foundation in Thermal Environment Considering Fluid-structure Interaction," Applied Mathematical Modelling, Vol. 78, pp. 550-575, 2020, doi: https://doi.org/10.1016/j.apm.2019.10.023.
 
[15] A. Alibeigloo, "Coupled ThermoelasticityAnalysis of Carbon Nano Tube Reinforced Composite Rectangular Plate Subjected to Thermal Shock," Composites Part B: Engineering, Vol. 153, pp. 445-455, 2018,doi: https://doi.org/10.1016/j.compositesb.2018.09.003.
 
[16] A. Akbarzadeh, M. Abbasi, and M. Eslami, "Coupled Thermoelasticity of Functionally Graded Plates Based on the Third-order Shear Deformation Theory," Thin-Walled Structures, Vol. 53, pp. 141-155, 2012, doi: https://doi.org/10.1016/j.tws.2012.01.009.
 
[17] Y. Heydarpour and M. Aghdam, "Transient Analysis of Rotating Functionally Graded Truncated Conical Shells Based on the Lord–Shulman Model," Thin-Walled Structures, Vol. 104, pp. 168-184, 2016, doi: https://doi.org/10.1016/j.tws.2016.03.016.
 
[18]      E. McQuillen and M. Brull, "Dynamic ThermoelasticResponse of Cylindrical Shells," Journal of applied Mechanics, Vol. 37(3), pp. 661-670, 1970, doi: https://doi.org/10.1115/1.3408595.
 
[19] Eslami, M.R., Lecture on "Coupled Thermoelasticity of Plates and Shells", Polish Academy of Sciences, (IPPT-PAN), Warsaw, June 22, 1998.
 
[20] Eslami, M.R., Lecture on "A New Approach to the Numerical Solutions of Coupled Thermoelasticity", Polish Academy of Sciences, (IPPT-PAN), Warsaw, June 26, 1998.
 
[21] J. Reddy, "An Introduction to Nonlinear Finite Element Analysis," 2004, Oxford University Press, https://doi.org/10.1093/acprof:oso/9780198525295.001.0001.
 
[22] M. R. Eslami, Finite Elements Methods in Mechanics, Switzerland Springer, 2014, https://doi.org/10.1007/978-3-319-08037-6.
 
[23] M. R. Eslami, Finite Elements Methods in Mechanics, Switzerland Springer, 2014, https://doi.org/10.1007/978-3-319-08037-6.
 
[24] S. Y. Chang, "Studies of Newmark Method for Solving Nonlinear Systems:(I) Basic Analysis," Journal of the Chinese Institute of Engineers, Vol. 27, No. 5, pp. 651-662, 2004, doi: https://doi.org/10.1080/02533839.2004.9670913.
 
[25] S. Y. Chang, "Studies of Newmark Method for Solving Nonlinear Systems:(II) Verification and Guideline," Journal of the Chinese Institute of Engineers, Vol. 27, No. 5, pp. 663-675, 2004, doi: https://doi.org/10.1080/02533839.2004.9670914.
 
[26] J. Duan and Y.-G. Li, "Solving the Kinetic Equations with Geometric Nonlinearity Considered," in 2017 3rd International Forum on Energy, Environment Science and Materials (IFEESM 2017), 2018: Atlantis Press, pp. 234-238, doi: https://doi.org/10.2991/ifeesm-17.2018.44.
 
[27] H. Eliasi, G. H. Payganeh, M. Shahgholi, and M. R. Eslami, "Stability of Thin Cylindrical Shells under Coupled ThermoelasticAssumption," Journal of Thermal Stresses, Vol. 46, No. 10, pp. 1003-1021, 2023, doi: https://doi.org/10.1080/01495739.2023.2216743.
[28] G. Sheng, X. Wang, G. Fu, and H. Hu, "The Nonlinear Vibrations of Functionally Graded Cylindrical Shells Surrounded by an Elastic Foundation," Nonlinear Dynamics, Vol. 78, pp. 1421-1434, 2014, doi: https://doi.org/10.1007/s11071-014-1525-8.