A Cylindrical Superelement for Thermo-Mechanical Analysis of Thin Composite Vessels
Keywords:Classical theory of shell, cylindrical vessels, trigonometric shape functions, shell superelement, composite cylinders
In this study, a new cylindrical shell superelement with trigonometric shape functions is developed. This element is formulated based on the classical theory of shells, and it is especially designed for coupled-field analysis of thin cylindrical vessels or tubes made of composite materials. As a case study, a thermo-mechanical analysis of a thin composite cylinder is conducted. By invoking to the uniform and non-uniform meshing, the deformation and the stress results are calculated and compared with the analytical solutions. At the end, the efficiency and accuracy of the proposed superelement is also depicted via comparison of the corresponding results with the ones which are calculated by means of shell elements and via a commercial software package.
M. Xia, H. Takayanagi, K. Kemmochi, ‘Analysis of multi-layered filament-wound composite pipes under internal pressure’, Composite Structures 53 (2001) 483–491.
M. Xia, H. Takayanagi, K. Kemmochi, ‘Analysis of lament-wound ber-reinforced sandwich pipe under combined internal pressure and thermo mechanical loading’, Composite Structures 51 (2001) 473–283.
H. Bakaiyan, H. Hosseini, E. Ameri, ‘Analysis of multi-layered filament-wound composite pipes under combined internal pressure and thermomechanical loading with thermal variations’, Composite Structures 88 (2009) 532–541.
P. Xu, J. Y. Zheng, ‘Finite element analysis of burst pressure of composite hydrogen storage vessels’, Composite Structures 30 (2009) 2295–2301.
L. Parnas, N. Katirci, ‘Design of fiber-reinforced composite pressure vessels under various loading conditions’, Composite Structures 58 (2002) 83–95.
L. A. L. Martins, F. L. Bastian, T. O. Netto, ‘Structural and functional failure pressure of filament wound composite tubes’, Materials and Design 36 (2012) 779–787.
O. Sayman, ‘Analysis of multi-layered composite cylinders under hygrothermal loading’, Composites: Part A 36 (2005) 923–933.
Q. Zhang, Z. Wang, C. Tang, D. Hu, P. Liu, L. Xia, ‘Analytical solution of the thermo-mechanical streeses in a multilayered composite pressure vessel considering the influence of the closed ends’, International journal of pressure vessels and piping 98 (2012) 102–110.
K. Vedeld, H. Sollund, ‘Stresses in Heated pressurized multi-layer cylinders in generalized plane strain conditions’, International journal of pressure vessels and piping 120-121 (2014) 27–35.
M. Jabbari, S. Sohrabpour, M. Eslami, ‘Mechanical and thermal stresses in a functionally graded hollow cylinder due to a radially symmetric loads’, International journal of pressure vessels and piping 79 (2002) 493–497.
Z. Shao, ‘Mechanical and thermal stresses of a functionally graded circular hollow cylinder with finite length’, International journal of pressure vessels and piping 82 (2005) 155–163.
T. S. Koko, ‘Super finite elements for nonlinear static and dynamic analysis of stiffened plate structures’, Ph.D. Thesis.
T. Koko, M. D. Olson, ‘Vibration analysis of stiffened plates by super elements’, J. Sound Vib. 158 (1991) 149–167.
J. Jiang, M. D. Olson, ‘Vibration Analysis of Orthogonally Stiffened Cylindrical Shells Using Super Finite Elements’, J. Sound Vib. 173 (1991) 73–83.
J. Jiang, M. D. Olson, ‘Nonlinear analysis of orthogonally stiffened cylindrical shells by a super element approach’, Finite Elem. Anal. Des. 18 (1994) 99–110.
M. T. Ahmadian, M. Zanganeh, ‘Nonlinear analysis of orthogonally stiffened cylindrical shells by a super element approach’, Comput. Methods Appl. Mech. Eng. 191 (2002) 2069–2075.
M. T. Ahmadian, M. Zanganeh, ‘Application of super elements to free vibration analysis of laminated stiffened plates’, J. Sound Vib. 259 (2003) 1243–1252.
F. Ju, Y. S. Choo, ‘Super element approach to cable passing through multiple pulleys’, Int. J. Solids Struct. 42 (2005) 3533–3547.
M. T. Ahmadian, M. Bonakdar, ‘A new cylindrical element formulation and its application to structural analysis of laminated hollow cylinders’, Finite Element in Analysis and Design 44 (2008) 617–630.
A. Taghvaeipour, M. Bonakdar, M. T. Ahamadian, ‘Application of a new cylindrical element formulation in finite element structural analysis of FGM hollow cylinders’, Finite Element in Analysis and Design 50 (2012) 1–7.
M. Nasiri Sarvi, M. T. Ahmadian, ‘Design and implementation of a new spherical super element in structural analysis’, Finite Element in Analysis and Design 218 (14) (2012) 7546–7561.
M. Nasiri Sarvi, M. T. Ahmadian, Deformation, stress and natural frequency analysis of the fullerene by finite super element method, International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, August 28-31, Washington, DC, USA, 2011.
M. T. Ahmadian, M. R. Movahhedy, M. M. Rezaei, ‘Design and application of a new tapered superelement for analysis of revolving geometries’, Finite Element in Analysis and Design 218 (47) (2011) 1242–1252.
R. Pourhamid, M. T. Ahmadian, H. Mahdavy Moghaddam, A. R. Mohammadzadeh, ‘Mechanical analysis of a functionally graded cylinder-piston under internal pressure due to a combustion engine using a cylindrical super element and considering thermal loading’, Scientia Iranica 22 (2) (2015) 493–5–3.
A. E. H. Love, A Treatise On The Mathematical Theory of Elasticity, Dover, New York, 1944.
S. Timoshenko, S. Woinowski-Krieger, Theory of plate and shells, McGraw-Hill, New York, 1959.
E. Venstel, T. Krauthammer, Thin plates and shells, Marcel Dekker, New York, 2001.
M. R. Eslami, Finite Elements Methods in Mechanics, Springer International Publishing, Switzerland, 2014.
S. S. Rao, The Finite Element Method in Engineering, Butterworth-Heinemann, United Kingdom, 2011.
J. R. Vinson, R. L. Sierakowski, The Behavior of Structures Composed of Composite Materials, Kluwer Academic Publishers, New York, 2002.
C. Felippa, Introduction to Finite Element Methods (ASEN 5007), http://www.colorado.edu/engineering/CAS/courses.d/IFEM.d.