The buckling of functionally graded truncated conical shells under dynamic axial loading

Journal of Sound and Vibration

Volumn 305, Issue 4-5, 2007, Pages 808-826

  Sofiyev, A H ^a  

^a SULEYMAN DEMIREL UNIVERSITY   (Turkey)

Author keywords

[No Author keywords available]

Indexed keywords

AXIAL LOADS; COMPRESSIVE STRENGTH; FUNCTIONALLY GRADED MATERIALS; GALERKIN METHODS; PARAMETER ESTIMATION; RUNGE KUTTA METHODS; SYSTEM STABILITY;

COMPATIBILITY EQUATIONS; COMPOSITIONAL PROFILE VARIATIONS; COMPRESSIVE LOADS; FUNCTIONALLY GRADED SHELLS;

SHELLS (STRUCTURES);

EID: 34447526136     PISSN: 0022460X     EISSN: 10958568     Source Type: Journal    
DOI: 10.1016/j.jsv.2007.05.002     Document Type: Article

References (64)

1. Koizumi M. The concept of FGM. Ceramics Transactions, Functionally Gradient Materials 34 (1993) 3-10
2. Koizumi M. FGM activities in Japan. Composites 28 1-2 (1997) 1-4
3. Pompe W., Worchorch H., Epple M., Friess W., Gelinsky M., Greil P., Hempel U., Scharnweber D., and Schulte K. Functionally graded materials for biomedical applications. Materials Science Engineering A 362 1-2 (2003) 40-60
4. Müller E., Drašar C., Schilz J., and Kaysser W.A. Functionally graded materials for sensor and energy applications. Materials Science Engineering A362 1-2 (2003) 17-39
5. S. Suresh, A. Mortensen, Fundamentals of Functionally Graded Materials: Processing and Thermo-Mechanical Behavior of Graded Metals and Metal-Ceramic Composites, IOM Communications, London, 1998.
6. Miyamoto Y., Kaysser W.A., Rabin B.H., Kawasaki A., and Ford R.G. Functionally Graded Materials: Design (1999), Kluwer Academic, Boston, MA
7. V. Birman, Buckling of functionally graded hybrid composite plates, Proceedings of the 10th Conference Engineering Mechanics, Boulder, USA, 1995.
8. Loy C.T., Lam J.N., and Reddy J.N. Vibration of functionally graded cylindrical shells. International Journal of Mechanical Sciences 41 (1999) 309-324
9. Pradhan S.C., Loy C.T., Lam J.N., and Reddy J.N. Vibration characteristics of functionally graded cylindrical shells under various boundary conditions. Applied Acoustics 61 1 (2000) 119-129
10. Reddy J.N., and Cheng Z.Q. Frequency correspondence between membranes and functionally graded spherical shallow shells of polygonal plan form. International Journal of Mechanical Sciences 44 5 (2002) 967-985
11. Pitakthapanaphong S., and Busso E.P. Self-consistent elasto-plastic stress solutions for functionally graded material systems subjected to thermal transients. Journal of Mechanics and Physics of Solids 50 (2002) 695-716
12. Woo J., and Meguid S.A. Thermo-mechanical post-buckling analysis of functionally graded plates and shallow cylindrical shells. Acta Mechanica 165 (2003) 99-115
13. Yang J., and Shen H.S. Parametric resonance of shear deformable functionally graded cylindrical panels in thermal environment. Journal of Sound and Vibration 261 5 (2003) 871-893
14. Shen H.S. Post-buckling analysis of pressure loaded functionally graded cylindrical shells in thermal environments. Journal of Engineering Structures 25 (2003) 487-497
15. Kitipornchai S.J., Yang J., and Liew K.M. Semi analytical for nonlinear vibration of laminated FGM plates with geometric imperfections. International Journal of Solids and Structures 41 (2004) 2235-2257
16. Chen W.Q., Bian Z.G., Lv C.F., and Ding H.J. vibration analysis of a functionally graded piezoelectric hollow cylinder filled with compressible fluid 3D. International Journal of Solids and Structures 41 3-4 (2004) 947-964
17. Patel B.P., Cupta M.S., Loknath M.S., and Kadu C.P. Free vibration analysis of a functionally graded elliptical cylindrical shells using higher-order theory. Journal of Composite Structures 69 (2005) 259-270
18. Liew K.M., Yang J., and Wu Y.F. Nonlinear vibration of a coating-FGM-substrate cylindrical panel subjected to a temperature gradient. Computer Methods in Applied Mechanics and Engineering 195 9-12 (2006) 1007-1026
19. Bhangale R.K., Ganesan N., and Chandramouli P. Linear thermo-elastic buckling and free vibration behavior of functionally graded truncated conical shells. Journal of Sound and Vibration 292 1-2 (2006) 341-371
20. Bhangale R.K., and Ganesan N. Free vibration of simply supported functionally graded and layered magneto-electro-elastic plates by finite element method. Journal of Sound and Vibration 294 (2006) 1016-1038
21. Seide P. Axisymmetrical buckling of circular cones under axial compression. Journal of Applied Mechanics 23 (1956) 626-628
22. K.M. Mushtari, A.V. Sachenkov, Stability of cylindrical and conical shells of circular cross section with simultaneous action of axial compression and external normal pressure, NASA TM-1433, 2000.
23. Lackman L., and Renzien J. Buckling of circular cones under axial compression. Journal of Applied Mechanics 27 (1960) 458-460
24. Seide P. Buckling of circular cones under axial compression. Journal of Applied Mechanics 28 (1961) 315-326
25. Weingarten V.I., Morgan E.J., and Seide P. Elastic stability of thin walled cylindrical and conical shells under combined pressure and axial compression. AIAA Journal 3 (1965) 118-125
26. Baruch M., Harari O., and Singer J. Low buckling loads of axially compressed conical shells. Journal of Applied Mechanics 38 (1970) 384-392
27. Tani J., and Yamaki Y. Buckling of truncated conical shells under axial compression. AIAA Journal 8 (1970) 568-570
28. Tovstik P.E. Some problems of the stability of cylindrical and conical shell. Journal of Applied Mathematics and Mechanics 47 (1985) 657-663
29. Tong L., Tabarrok B., and Wang T.K. Simple solution for buckling of Orthotropic conical shells International. Journal of Solids and Structures 29 (1992) 933-946
30. Spagnoli A., and Chryssanthopoulos M.K. Elastic buckling and post-buckling behaviour of widely stiffened conical shells under axial compression. Journal of Engineering Structures 21 (1999) 845-855
31. Spagnoli A. Koiter circles in the buckling of axially compressed conical shells. International Journal of Solids and Structures 40 (2003) 6095-6109
32. Tamura Y.S., and Babcock C.D. Dynamic stability of cylindrical shells under step loading. Journal of Applied Mechanics 42 1 (1975) 190-194
33. Simitises G.J. Dynamic Stability of Suddenly Loaded Structures (1990), Springer, Berlin
34. Tanov R., Tabieai A., and Simitises G.J. Effect of static preloading on the dynamic buckling of laminated cylinders under sudden pressure. Mechanics of Composites Materials and Structures 6 (1999) 195-206
35. Bisagni C. Dynamic buckling of fiber composite shells under impulsive axial compression. Thin-Walled Structures 43 (2005) 499-514
36. A.S. Volmir, Stability of Elastic Systems, Nauka, Moscow, 1967 (English Translation: Foreign Tech. Division, Air Force Systems Command. Wright-Patterson Air Force Base, OH, AD628508).
37. Shumik M.A. On the stability of a truncated conical shell subject to a dynamic axial compression. Soviet Applied Mechanics 6 11 (1970) 122-126
38. Mitriaikin V.V., and Baktieva L.U. Investigation of the stability of circular conical shells subjected to dynamic loading, Kazan State University, Russian. Actual Problems of Mechanics of Shells 24 (1985) 186-191
39. V.L. Agamirov, A.A. Solomonenko, Stability of conical shells subjected to a dynamic axial compression, VIINITI DEP., No. 1136-B, Moscow, 1987, pp. 1-12 (in Russian).
40. Agamirov V.L. Dynamic Problems of Nonlinear Shells Theory (1990), Nauka, Moscow (in Russian)
41. Yakushev A.N. The stability of orthotropic conical shells subjected to a dynamic loading. Research on the Theory of Plates and Shells, Kazan State University, Russian 24 (1991) 186-191
42. Sofiyev A.H., and Aksogan O. Buckling of a conical thin shell with variable thickness under a dynamic loading. Journal of Sound and Vibration 13 3 (2003) 329-343
43. Praveen G.H., and Reddy J.N. Nonlinear transient thermal elastic analysis of functionally graded ceramic-metal plates. International Journal of Solids and Structures 35 33 (1998) 4457-4476
44. Reddy J.N., and Chin C.D. Thermal-mechanical analysis of functionally graded cylinders and plates. Journal of Thermal Stresses 21 (1998) 593-626
45. Reddy J.N. Analysis of functionally graded plates. International Journal for Numerical Methods in Engineering 35 33 (2000) 4457-4476
46. NG T.Y., Lam K.Y., LIEW K.M., and Reddy J.N. Dynamic stability analysis of functionally graded cylindrical shells under periodic axial loading. International Journal of Solids and Structures 38 (2001) 1295-1309
47. Yang J., and Shen H.S. Dynamic response of initially stressed functionally graded rectangular thin plates. Journal of Composite Structures 54 (2001) 497-508
48. Liew K.M., HE X.Q., NG T.Y., and Kitipornchai S. Active control of FGM shell subjected to a temperature gradient via piezoelectric sensor/actuator patches. International Journal for Numerical Methods in Engineering 55 (2002) 653-668
49. HE X.Q., Liew K.M., NG T.Y., and Sivashanker A. A FEM model for the active control of curved FGM shells using piezoelectric sensor/actuator layers. International Journal for Numerical Methods in Engineering 54 6 (2002) 853-870
50. NG T.Y., HE X.Q., and Liew K.M. Finite element modeling of active control of functionally graded shells in frequency domain via piezoelectric sensors and actuators. Computational Mechanics 28 1 (2002) 1-9
51. Vel S.S., and Batra R.C. Three-dimensional analysis of transient thermal stresses in functionally graded rectangular plates. International Journal for Numerical Methods in Engineering 40 25 (2003) 7181-7196
52. Sofiyev A.H., and Schnack E. The stability of functionally graded cylindrical shells under linearly increasing dynamic torsional loading. Journal of Engineering Structures 26 10 (2004) 1321-1331
53. Sofiyev A.H. The stability of functionally graded truncated conical shells subjected to a-periodic impulsive loading. International Journal of Solids and Structures 41 13 (2004) 3411-3424
54. Sofiyev A.H. The stability of compositionally graded ceramic-metal cylindrical shells under a-periodic axial impulsive loading. Journal of Composite Structures 69 (2005) 257-267
55. Kubiak T. Dynamic buckling of thin-walled composite plates with varying widthwise material properties. International Journal of Solids and Structures 42 (2005) 5555-5567
56. Tylikowsky A. Dynamic stability of functionally graded plate under in-plane compression. Mathematical Problems in Engineering 4 (2005) 411-424
57. Zhu J., Chen C., Shen Y.P., and Wang S.L. Dynamic stability of functionally graded piezoelectric circular cylindrical shells. Materials Letters 59 (2005) 477-485
58. L. Wu, H. Wang, D. Wang, Dynamic stability analysis of FGM plates by the moving least squares differential quadrature method, Journal of Composite Structures (2005), in press.
59. M. Ganapathi, Dynamic stability characteristics of functionally graded materials shallow spherical shells, Journal of Composite Structures (2006), in press.
60. Lu S.Y., and Chang L.K. Thermal buckling of conical shells. AIAA Journal 5 10 (1967) 1877-1882
61. Jones R.M., and Morgan H.S. Buckling and vibration of cross-ply laminated circular cylindrical shells. AIAA Journal 13 (1975) 664-671
62. Shen S.H. Postbuckling analysis of stiffened laminated cylindrical shells under combined external liquid pressure and axial compression. Engineering Structures 20 8 (1997) 738-751
63. Shen S.H., and Li Q.S. Postbuckling of cross-ply laminated cylindrical shells with piezoelectric actuators under complex loading conditions. International Journal of Mechanical Sciences 44 (2002) 1731-1754
64. Touloukian Y.S. Thermo Physical Properties of High Temperature Solid Materials (1967), McMillan, New York