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Nonlinear Stability of Sandwich Functionally Graded Cylindrical Shells with Stiffeners Under Axial Compression in Thermal Environment

Division of Computational Mathematics and Engineering, Institute for Computational Science, Ton Duc Thang University, Ho Chi Minh City, Vietnam

Faculty of Civil Engineering, Ton Duc Thang University, Ho Chi Minh City, Vietnam

E-mail Address: nguyenthiphuong@tdtu.edu.vn

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Vu Hoai Nam

Faculty of Civil Engineering, University of Transport Technology, Hanoi, Vietnam

E-mail Address: hoainam.vu@utt.edu.vn

Corresponding author.

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Nguyen Thoi Trung

Division of Computational Mathematics and Engineering, Institute for Computational Science, Ton Duc Thang University, Ho Chi Minh City, Vietnam

Faculty of Civil Engineering, Ton Duc Thang University, Ho Chi Minh City, Vietnam

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Vu Minh Duc

Faculty of Civil Engineering, University of Transport Technology, Hanoi, Vietnam

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, and

Pham Van Phong

Faculty of Civil Engineering, University of Transport Technology, Hanoi, Vietnam

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https://doi.org/10.1142/S0219455419500731Cited by:33 (Source: Crossref)

Abstract

The geometrically nonlinear response of sandwich functionally graded cylindrical shells reinforced by orthogonal and/or spiral stiffeners and subjected to axial compressive loads is investigated in this paper. Two types of sandwich functionally graded material models are considered. The formulations are based on the Donnell shell theory considering geometrical nonlinearity and Pasternak’s elastic foundation. The improved Lekhnitskii’s smeared stiffener technique is used to account for the stiffener effects with both mechanical and thermal stresses. The results obtained indicate that the spiral stiffeners have significantly beneficial influences in comparison with orthogonal stiffeners on the nonlinear buckling behavior of shells. The relatively large effects of temperature change, geometrical and material parameters are also demonstrated in the numerical investigations.

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References

1. J. Singer, M. Baruch and O. Harari, On the stability of eccentrically stiffened cylindrical shells under axial compression, Int. J. Solids Struct. 3 (1967) 445–470. Google Scholar
2. N. Yamaki, Elastic Stability of Circular Cylindrical Shells (North-Holland, New York, 1984). Google Scholar
3. Z. Y. Ji and K. Y. Yeh, General solution for nonlinear buckling of nonhomogeneous axial symmetric ring-and stringer-stiffened cylindrical shells, Comp. Struct. 34 (1990) 585–591. Web of Science, Google Scholar
4. H. S. Shen, P. Zhou and T. Chen, Post-buckling analysis of stiffened cylindrical shells under combined external pressure and axial compression, Thin-Walled Struct. 15 (1993) 43–63. Web of Science, Google Scholar
5. J. N. Reddy and J. H. Starnes, General buckling of stiffened circular cylindrical shells according to a layerwise theory, Comp. Struct. 49 (1993) 605–616. Web of Science, Google Scholar
6. D. S. Lee, Nonlinear dynamic buckling of orthotropic cylindrical shells subjected to rapidly applied loads, J. Eng. Math. 38 (2000) 141–154. Web of Science, Google Scholar
7. P. B. Goncalves and Z. D. Prado, Nonlinear oscillations and stability of parametrically excited cylindrical shells, Meccanica 37 (2002) 569–597. Web of Science, Google Scholar
8. R. A. Arciniega, P. B. Goncalves and J. N. Reddy, Buckling and postbuckling analysis of laminated cylindrical shells using the third-order shear deformation theory, Int. J. Struct. Stab. Dyn. 4 (2004) 293–312. Link, Google Scholar
9. H. S. Shen and Y. Xiang, Postbuckling of pressure-loaded piezolaminated cylindrical shells with temperature dependent properties, Int. J. Struct. Stab. Dyn. 7 (2007) 1–22. Link, Web of Science, Google Scholar
10. Z. M. Li and H. S. Shen, Post-buckling of 3D braided composite cylindrical shells under combined external pressure and axial compression in thermal environments, Int. J. Mech. Sci. 50 (2008) 719–731. Web of Science, Google Scholar
11. C. T. Loy, K. Y. Lam and J. N. Reddy, Vibration of functionally graded cylindrical shells, Int. J. Mech. Sci. 41 (1999) 309–324. Web of Science, Google Scholar
12. S. C. Pradhan, C. T. Loy, K. Y. Lam and J. N. Reddy, Vibration characteristics of functionally graded cylindrical shells under various boundary conditions, Appl. Acoust. 61 (2000) 111–129. Web of Science, Google Scholar
13. T. Y. Ng, K. Y. Lam, K. M. Liew and J. N. Reddy, Dynamic stability analysis of functionally graded cylindrical shells under periodic axial loading, Int. J. Solids Struct. 38 (2001) 1295–1309. Web of Science, Google Scholar
14. H. S. Shen, Postbuckling analysis of axially-loaded functionally graded cylindrical shells in thermal environments, Compos. Sci. Technol. 62 (2002) 977–987. Web of Science, Google Scholar
15. H. S. Shen, Postbuckling analysis of pressure-loaded functionally graded cylindrical shells in thermal environments, Eng. Struct. 25 (2003) 487–497. Web of Science, Google Scholar
16. R. Shahsiah and M. R. Eslami, Thermal buckling of functionally graded cylindrical shell, J. Therm. Stress. 26 (2003) 277–294. Web of Science, Google Scholar
17. L. Wu, Z. Jiang and J. Liu, Thermoelastic stability of functionally graded cylindrical shells, Compos. Struct. 70 (2005) 60–68. Web of Science, Google Scholar
18. A. Bahtui and M. R. Eslami, Couple thermoelasticity of functionally graded cylindrical shells, Mech. Res. Commun. 34 (2007) 1–18. Web of Science, Google Scholar
19. A. H. Sofiyev and E. Schnak, The stability of functionally graded cylindrical shells under linearly increasing dynamic torsional loading, Eng. Struct. 26 (2004) 1321–1331. Web of Science, Google Scholar
20. Y. Han, X. Zhu, T. Li, Y. Yu and X. Hu, Free vibration and elastic critical load of functionally graded material thin cylindrical shells under internal pressure, Int. J. Struct. Stab. Dyn. 18 (2018) 1850138. Link, Web of Science, Google Scholar
21. P. Malekzadeh and Y. Heydarpour, Free vibration analysis of rotating functionally graded truncated conical shells, Compos. Struct. 97 (2013) 176–188. Web of Science, Google Scholar
22. Y. Heydarpour, P. Malekzadeh and M. M. Aghdam, Free vibration of functionally graded truncated conical shells under internal pressure, Meccanica 49 (2014) 267–282. Web of Science, Google Scholar
23. W. Q. Chen, Z. G. Bian, C. F. Lv and H. J. Ding, 3D free vibration analysis of a functionally graded piezoelectric hollow cylinder filled with compressible fluid, Int. J. Solids Struct. 41 (2004) 947–964. Web of Science, Google Scholar
24. M. Shariyat, Dynamic thermal buckling of suddenly heated temperature dependent FGM cylindrical shells under combined axial compression and external pressure, Int. J. Solids Struct. 45 (2008) 2598–2612. Web of Science, Google Scholar
25. K. Xu, Z. Zhou, Q. Lu, J. Sun and Z. Jia, Thermo-mechanical buckling of CFRP cylindrical shells with FGPM coating, Int. J. Struct. Stab. Dyn. 19 (2019) 1950016. Link, Web of Science, Google Scholar
26. E. Bagherizadeh, Y. Kiani and M. R. Eslami, Mechanical buckling of functionally graded material cylindrical shells surrounded by Pasternak elastic foundation, Compos. Struct. 93 (2011) 3063–3071. Web of Science, Google Scholar
27. H. Huang and Q. Han, Nonlinear dynamic buckling of functionally graded cylindrical shells subjected to time-dependent axial load, Compos. Struct. 92 (2010) 593–598. Web of Science, Google Scholar
28. A. H. Sofiyev, Buckling analysis of FGM circular shells under combined loads and resting on the Pasternak type elastic foundation, Mech. Res. Commun. 37 (2010) 539–544. Web of Science, Google Scholar
29. A. H. Sofiyev, The buckling of FGM truncated conical shells subjected to combined axial tension and hydrostatic pressure, Compos. Struct. 92 (2010) 488–498. Web of Science, Google Scholar
30. A. H. Sofiyev, The buckling of FGM truncated conical shells subjected to axial compressive load and resting on Winkler–Pasternak foundations, Int. J. Press. Vessel Pip. 87 (2010) 753–761. Web of Science, Google Scholar
31. A. H. Sofiyev, On the vibration and stability of clamped FGM conical shells under external loads, J. Compos. Mater. 45 (2011) 771–788. Web of Science, Google Scholar
32. H. R. Mollarazi, M. Foroutan and R. Moradi-Dastjerdi, Analysis of free vibration of functionally graded material (FGM) cylinders by a meshless method, J. Compos. Mater. 46 (2011) 507–515. Web of Science, Google Scholar
33. H. Safarpour, K. Mohammadi, M. Ghadiri and M. M. Barooti, Effect of porosity on flexural vibration of CNT-reinforced cylindrical shells in thermal environment using GDQM, Int. J. Struct. Stab. Dyn. 18 (2018) 1850123. Link, Web of Science, Google Scholar
34. Y. Heydarpour and P. Malekzadeh, Dynamic stability of rotating FG-CNTRC cylindrical shells under combined static and periodic axial loads, Int. J. Struct. Stab. Dyn. 18 (2018) 1850151. Link, Web of Science, Google Scholar
35. M. H. Hajmohammad, R. Kolahchi, M. S. Zarei and M. Maleki, Earthquake induced dynamic deflection of submerged viscoelastic cylindrical shell reinforced by agglomerated CNTs considering thermal and moisture effects, Compos. Struct. 187 (2018) 498–508. Web of Science, Google Scholar
36. M. H. Hajmohammad, A. Farrokhian and R. Kolahchi, Smart control and vibration of viscoelastic actuator-multiphase nanocomposite conical shells-sensor considering hygrothermal load based on layerwise theory, Aerosp. Sci. Technol. 78 (2018) 260–270. Web of Science, Google Scholar
37. H. Hosseini and R. Kolahchi, Seismic response of functionally graded-carbon nanotubes-reinforced submerged viscoelastic cylindrical shell in hygrothermal environment, Phys. E: Low-Dimens. Syst. Nanostruct. 102 (2018) 101–109. Web of Science, Google Scholar
38. M. M. Najafizadeh, A. Hasani and P. Khazaeinejad, Mechanical stability of functionally graded stiffened cylindrical shells, Appl. Math. Model. 33 (2009) 1151–1157. Web of Science, Google Scholar
39. D. V. Dung and L. K. Hoa, Nonlinear buckling and post-buckling analysis of eccentrically stiffened functionally graded circular cylindrical shells under external pressure, Thin-Walled Struct. 63 (2013) 117–124. Web of Science, Google Scholar
40. D. V. Dung and L. K. Hoa, Nonlinear torsional buckling and postbuckling of eccentrically stiffened FGM cylindrical shells in thermal environment, Composites: B 69 (2015) 378–388. Web of Science, Google Scholar
41. D. V. Dung, N. T. Nga and L. K. Hoa, Nonlinear stability of functionally graded material (FGM) sandwich cylindrical shells reinforced by FGM stiffeners in thermal environment, Appl. Math. Mech. 38 (2017) 647–670. Web of Science, Google Scholar
42. D. H. Bich, D. V. Dung, V. H. Nam and N. T. Phuong, Nonlinear static and dynamic buckling analysis of imperfect eccentrically stiffened functionally graded circular cylindrical thin shells under axial compression, Int. J. Mech. Sci. 74 (2013) 190–200. Web of Science, Google Scholar
43. D. V. Dung and V. H. Nam, Nonlinear dynamic analysis of eccentrically stiffened functionally graded circular cylindrical thin shells under external pressure and surrounded by an elastic medium, Eur. J. Mech.-A/Solids 46 (2014) 42–53. Web of Science, Google Scholar
44. V. H. Nam, N. T. Phuong, K. V. Minh and P. T. Hieu, Nonlinear thermo-mechanical buckling and post-buckling of multilayer FGM cylindrical shell reinforced by spiral stiffeners surrounded by elastic foundation subjected to torsional loads, Eur. J. Mech.-A/Solids 72 (2018) 393–406. Web of Science, Google Scholar
45. N. T. Phuong, D. T. Luan, V. H. Nam and P. T. Hieu, Nonlinear approach on torsional buckling and postbuckling of functionally graded cylindrical shells reinforced by orthogonal and spiral stiffeners in thermal environment, Proc. Instn Mech. Engrs, C: J. Mech. Eng. Sci. 233 (2019) 2091–2106. Web of Science, Google Scholar