An Investigation of Stress and Deformation States of Rotating Thick Truncated Conical Shells of Functionally Graded Material

Document Type : Research Paper


1 Department of Mechanical Engineering, Institute of Technology, Guru Ghasidas Vishwavidyalaya, Bilaspur, 495009, India

2 Department of Mechanical Engineering, Shri Shankaracharya Technical Campus, SSGI, Bhilai, 490020, India

3 Department of Mechanical Engineering, National Institute of Technology (NIT), Raipur, 492010, India


The present study aims at investigating stress and deformation behavior of rotating thick truncated conical shells subjected to variable internal pressure. Material prpperties of the shells are graded along the axial direction by Mori-tanaka scheme, which is achieved by elemental gradation of the properties.Governing equations are derived using principle of stsionary total potential (PSTP) and shells are subjected to clamped- clamped boundary conditions. Aluminum-zirconia, metal-ceramic and ceramic-metal FGM is considered and effects of grading index of material properties and pressure distribution are analyzed. Distribution of Radial displacement and circumferential stress in both radial and axial direction is presented. Further a comparison of behaviors of different FGM shells and homogeneous shells are made which shows, a significant reduction in stresses and deformations of FGM shells as compared to homogeneous shell. FGM shell having value of grading parameter n = 2 is most suitable for the purpose of rotating conical shells having variable pressure distribution as compared to homogeneous shell and shell having other values of grading parameter n.  


[1] Asemi K., Akhlaghi M., Salehi M., Zad S.K.H., 2011, Analysis of functionally graded thick truncated cone with finite length under hydrostatic internal pressure, Archive of Applied Mechanics 81: 1063-1074.
[2] Bayat M., Sahari B., Saleem M., Dezvareh S., Mohazzab A.H., 2011, Analysis of functionally graded rotating disks with parabolic concave thickness applying an exponential function and the mori-tanaka scheme, IOP Conference Series: Materials Science and Engineering 17: 1-11.
[3] Civalek O., 2006, The determination of frequencies of laminated conical shells via the discrete singular convolution method, Journal of Mechanics of Materials and Structures 1: 163-182.
[4] Civalek O., Gürses M., 2009, Free vibration analysis of rotating cylindrical shells using discrete singular convolution technique, International Journal of Pressure Vessels and Piping 86: 677-683.
[5] Heydarpour Y., Aghdam M.M., 2016, Transient analysis of rotating functionally graded truncated conical shells based on the Lord–Shulman model, Thin-Walled Structures 104: 168-184.
[6] Hua L., 2000, Frequency analysis of rotating truncated circular orthotropic conical shells with different boundary conditions, Composites Science and Technology 60: 2945-2955.
[7] Ma X., Jin G., Xiong Y., Liu Z., 2014, Free and forced vibration analysis of coupled conical–cylindrical shells with arbitrary boundary conditions, International Journal of Mechanical Sciences 88: 122-137.
[8] Malekzadeh P., Daraie M., 2014, Dynamic analysis of functionally graded truncated conical shells subjected to asymmetric moving loads, Thin-Walled Structures 84:1-13.
[9] Nejad M.Z., Jabbari M., Ghannad M., 2015, Elastic analysis of FGM rotating thick truncated conical shells with axially-varying properties under non-uniform pressure loading, Composite Structures 122: 561-569.
[10] Nejad M.Z., Jabbari M., Ghannad M., 2014, Elastic analysis of rotating thick truncated conical shells subjected to uniform pressure using disk form multilayers, ISRN Mechanical Engineering 2014: 1-10.
[11] Nejad M.Z., Jabbari M., Ghannad M., 2014, A semi analytical solution of thick truncated cones using matched asymptotic method and disk form multilayers, Archive of Mechanical Engginering 61: 495-513.
[12] Qinkai H., Fulei C., 2013, Effect of rotation on frequency characteristics of a truncated circular conical Shell, Archive of Applied Mechanics 83: 1789-1800.
[13] Seidi J., Khalili S.M.R., Malekzadeh K., 2015, Temperature-dependent buckling analysis of sandwich truncated conical shells with FG facesheets, Composite Structures 131: 682-691.
[14] Seshu P., 2003, A Text Book of Finite Element Analysis, PHI Learning Pvt, Ltd.
[15] Sofiyev A.H., 2015, Buckling analysis of freely-supported functionally graded truncated conical shells under external pressures, Composite Structures 132: 746-758.
[16] Sofiyev A.H., Kuruoglu N., 2016, Combined effects of elastic foundations and shear stresses on the stability behavior of functionally graded truncated conical shells subjected to uniform external pressures, Thin-Walled Structures 102: 68-79.
[17] Zeighampour H., Beni Y.T., 2014, Analysis of conical shells in the framework of coupled stresses theory, International Journal of Engineering Science 81: 107-122.
[18] Thawait A. K., Sondhi L., Bhowmick S., Sanyal S., 2017, An investigation of stresses and deformation states of clamped rotating functionally graded disks, Journal of Theoretical and Applied Mechanics 55: 189-198.