Skip to main content
Disciplines
Automotive Business IT + Informatics Construction + Real Estate Electrical Engineering + Electronics Energy + Sustainability Insurance + Risk Finance + Banking Management + Leadership Marketing + Sales Mechanical Engineering + Materials
Events
DE
EN
Books
Journals
Topic Page
Marketing
Start single access now
Access for companies
EXTENDED SEARCH
Log in
Top
Published in:
Concept of Stability Read chapter Read first chapter

2018 | OriginalPaper | Chapter

8. Buckling of Conical Shells

Author : M. Reza Eslami

Published in: Buckling and Postbuckling of Beams, Plates, and Shells

Publisher: Springer International Publishing

Log in

Activate our intelligent search to find suitable subject content or patents.

search-config
loading …

Abstract

Conical shells under the mechanical and thermal loads are considered in this chapter. The basic governing equations of the shell including the nonlinear strain-displacement relations of Sanders assumption, the constitutive law, the nonlinear equilibrium equations, and the linear stability equations are derived employing the variational principle. The stability of the shell is considered and the buckling loads associated with the mechanical and thermal forces are derived. In case of thermal loading, the material temperature dependency is considered and the results are compared with the case where temperature dependency of the material properties are ignored. Effect of the piezo-control on stability of conical shells under thermal loading concludes the chapter.

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

inform now

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

inform now
previous chapter Buckling of Spherical Shells
Literature
1.
Brush, D. O., & Almroth, B. O. (1975). Buckling of bars, plates, and shells. New York: McGraw-Hill.MATH
2.
Eslami, M. R. (2010). Thermo-mechanical buckling of composite plates and shells. Tehran: Amirkabir University Press.
3.
Seide, P. (1956). Axisymmetric buckling of circular cones under axial compression. Journal of Applied Mechanics, 23, 625–628.MATHMathSciNet
4.
5.
Singer, J. (1961). Buckling of circular conical shells under axisymmetrical external pressure. Journal of Mechanical Engineering Science, 3, 330–339.CrossRef
6.
Baruch, M., & Singer, J. (1965). General instability of stiffened conical shells under hydrostatic pressure. Aero. Q., 26, 187–204.CrossRef
7.
Baruch, M., Harari, O., & Singer, J. (1967). Influence of in-plane boundary conditions on the stability of conical shells under hyrostatic pressure. Israel Journal of Technology, 5(1–2), 12–24.
8.
Baruch, M., Harari, O., & Singer, J. (1970). Low buckling loads of axially compressed conical shells. Journal of Applied Mechanics, 37, 384–392.CrossRef
9.
Singer, J. (1962). Buckling of Orthotropic and Stiffened Conical Shells, NASA TN D-1510 (pp. 463–479).
10.
Singer, J. (1963). Donnell-type equations for bending and buckling of orthotropic conical shells. Journal of Applied Mechanics, 30, 303–305.CrossRefMATH
11.
Weigarten, V. I., & Seide, P. (1965a). Elastic stability of thin walled cylindrical and conical shells under combined external pressure and axial compression. AIAA Journal, 3, 913–920.CrossRef
12.
Weigarten, V. I., & Seide, P. (1965b). Elastic stability of thin walled cylindrical and conical shells under combined internal pressure and axial compression. AIAA Journal, 3, 1118–1125.CrossRef
13.
Eslami, M. R., & Rafeeyan, M. (1996). Thermal and mechanical buckling of conical shells. In Proceedings of the 8th International Conference of Pressure Vessel Technology, Montreal, Canada.
14.
Pandey, M. D., & Sherboune, A. N. (1991). Imperfection sensitivity of optimized laminated composite shells: a physical approach. International Journal of Solids and Structures, 27(12), 1575–1595.CrossRef
15.
Palassopoulos, G. V. (1993). New approach to buckling of imperfection sensitive structures. Journal of Engineering Mechanics, 119(4), 850–869.CrossRef
16.
Kasagi, A., & Sridharan, S. (1995). Imperfection sensitivity of layered composite cylinders. Journal of Engineering Mechanics, 121(7), 810–818.CrossRef
17.
Naj, R., Sabzikar, M., & Eslami, M. R. (2008). Thermal and mechanical instability of functionally graded truncated conical shells. Thin-Walled Structures, 46(1), 65–78.CrossRef
18.
Singer, J. (1965). Buckling of circular conical shells under uniform axial compression. AIAA Journal, 3(5), 985–987.CrossRef
19.
Singer, J. (1962). The effect of axial constraint on the instability of thin conical shells under external pressure. Journal of Applied Mechanics, 29(1), 212–214.CrossRefMATH
20.
Lu, S. Y., & Chang, L. K. (1967). Thermal buckling of conical shells. AIAA Journal, 5(10), 1877–1882.CrossRefMATH
21.
Chang, L. K., & Lu, S. Y. (1968). Nonlinear thermal elastic buckling of conical shells. Nuclear Engineering and Design, 7(2), 159–169.CrossRef
22.
Tani, J. (1978). Influence of axisymmetric initial deflections on the thermal buckling of truncated conical shells. Nuclear Engineering and Design, 48(2–3), 393–403.CrossRef
23.
Tani, J. (1984). Buckling of truncated conical shells under combined pressure and heating. Journal of Thermal Stresses, 7(3–4), 307–316.CrossRef
24.
Tani, J. (1985). Buckling of truncated conical shells under combined axial load, pressure, and heating. Journal of Applied Mechanics, 52(2), 402–708.CrossRef
25.
Wu, C. P., & Chiu, S. J. (2001). Thermoelastic buckling of laminated composite conical shells. Journal of Thermal Stresses, 24(9), 881–901.CrossRef
26.
Patel, B. P., Shukla, K. K., & Nath, Y. (2005). Thermal postbuckling analysis of laminated cross-ply truncated circular conical shells. Composite Structures, 71(1), 101–114.CrossRef
27.
Patel, B. P., Shukla, K. K., & Nath, Y. (2006). Nonlinear thermoelastic stability characteristics of cross-ply laminated oval cylindrical/conical shells. Finite Elements in Analysis and Design, 42(12), 1061–1070.CrossRef
28.
Roh, J. H., Woo, J. H., & Lee, I. (2009). Thermal post-buckling and vibration analysis of composite conical shell structures using layerwise theory. Journal of Thermal Stresses, 32(1–2), 41–64.
29.
Singh, B. N., & Babu, J. B. (2009). Thermal buckling of laminated composite conical shell panel with and without piezoelectric layer with random material properties. International Journal of Crashworthiness, 14(1), 73–81.CrossRef
30.
Singh, B. N., & Babu, J. B. (2009). Thermal buckling of laminated conical shells embedded with and without piezoelectric layer. Journal of Reinforced Plastics and Composites, 28(7), 731–812.CrossRef
31.
Bhangale, R., Ganesan, N., & Padmanabhan, C.h. (2006). Linear thermoelastic buckling and free vibration behavior of functionally graded truncated conical shells. J Sound and Vibration, 292(1–2), 341–371.
32.
Sofiyev, A. H. (2007). Thermoelastic stability of functionally graded truncated conical shells. Composite Structures, 77(1), 56–65.CrossRef
33.
Sofiyev, A. H. (2011). Thermal buckling of FGM shells resting on a two-parameter elastic foundation. Thin-Walled Structure, 49(10), 1304–11.CrossRefMathSciNet
34.
Torabi, J., Kiani, Y., & Eslami, M. R. (2013). Linear thermal buckling analysis of truncated hybrid FGM conical shells. Composites Part B: Engineering, 50(1), 265–272.CrossRef
35.
36.
37.
Jabareen, M., & Sheinman, I. (2006). Postbuckling analysis of geometrically imperfect conical shells. Journal of Engineering Mechanics, 132(12), 1326–1334.CrossRef
38.
Jabareen, M., & Sheinman, I. (2009). Stability of imperfect stiffened conical shells. International Journal of Solids and Structures, 46(10), 2111–2125.CrossRefMATH
39.
Sofiyev, A. H., Kuruoghlu, N., & Turkmen, M. (2009). Buckling of FGM hybrid truncated conical shells subjected to hydrostatic pressure. Thin-Walled Structures, 47, 61–72.CrossRef
40.
Sofiyev, A. H. (2009). The vibration and stability behavior of freely supported FGM conical shells subjected to external pressure. Composite Structures, 89, 356–366.CrossRef
41.
Sofiyev, A. H. (2010). The buckling of FGM truncated conical shells subjected to combined axial tension and hydrostatic pressure. Composite Structures, 92, 488–498.CrossRef
42.
Sofiyev, A. H. (2010). Buckling analysis of FGM circular shells under combined loads and resting on the Pasternak type elastic foundation. Mechanics Research Communications, 37, 539–544.CrossRefMATH
43.
Bich, D., Phoung, N., & Tung, H. (2012). Buckling of functionally graded conical panels under mechanical loads. Composite Structures, 94, 1379–84.CrossRef
44.
Sofiyev, A. H. (2011). Influence of the initial imperfection on the non-linear buckling response of FGM truncated conical shells. International Journal of Mechanical Sciences, 53, 753–762.CrossRef
45.
Sabzikar Boroujerdy, M., & Eslami, M. R. (2015). Unsymmetrical buckling of piezo-FGM shallow clamped spherical shells under thermal loading. Journal of Thermal Stresses, 38(11), 1290–1307.CrossRef
46.
Wu, L., Jiang, Z., & Liu, J. (2005). Thermoelastic stability of functionally graded cylindrical shells. Composite Structures, 70, 60–68.CrossRef
Metadata
Title
Buckling of Conical Shells
Author
M. Reza Eslami
Copyright Year
2018
Book
Buckling and Postbuckling of Beams, Plates, and Shells

Print ISBN: 978-3-319-62367-2

Electronic ISBN: 978-3-319-62368-9

Copyright Year: 2018

DOI
https://doi.org/10.1007/978-3-319-62368-9_8

Premium Partners

    Image Credits