Review of research on the vibration and buckling of the FGM conical shells
Source abstract
Abstract
Abstract The purpose of this study is to provide an exhaustive review of the literature on the vibration and buckling of functionally graded materials (FGMs), functionally graded conical shells (FGCSs), functionally graded layered conical shells (FGLCSs), and functionally graded sandwich-conical shells (FGSCSs). The methodological solutions for various problems encountered in pure FGCSs and FGSCSs in the design, for example, linear and non-linear (NL) vibration and stability under various loads and the influences of the different environment are presented. The examples of FGM structures included in the review cover a wide range of applications in nuclear, space and marine engineering, electronics and biomedical fields .
Source: openaire · Quality: candidate unverified · Source record ↗
Research context
OpenAlex topics: Composite Structure Analysis and Optimization · Structural Analysis and Optimization · Aeroelasticity and Vibration Control
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
References (100+)
Show source-provided references
1. Gradients in composite materials10.1016/0025-5416(72)90059-6 ↗
2. Gradients in polymeric materials10.1007/BF00549902 ↗
3. The concept of FGM
4. Fabrication of functionally gradient materials by slurry stacking and sintering process
5. Use of composites in functionally graded materials
6. Suresh · 1999
7. Miyamoto · 1999
8. Processing techniques for functionally graded materials10.1016/S0921-5093(03)00578-1 ↗
9. The activities of FGM on new applications10.4028/www.scientific.net/MSF.423-425.1 ↗
10. Optimum material design for functionally gradient material plate10.1007/BF00808146 ↗
11. Use of functionally graded materials to eliminate or control thermal deformation10.1016/0266-3538(96)00075-9 ↗
12. Some basic fracture mechanics concepts in functionally graded materials10.1016/0022-5096(96)00041-5 ↗
13. Nonlinear transient thermoelstic analysis of functionally graded ceramic-metal plates10.1016/S0020-7683(97)00253-9 ↗
14. Thermal stresses in functionally graded materials10.1080/014957399280841 ↗
15. Shen · 2009
16. Free vibration analysis of functionally graded conical, cylindrical shell and annular plate structures with a four-parameter power-law distribution10.1016/j.cma.2009.04.011 ↗
17. Functionally Graded Materials in Engineering
18. Vibration of functionally graded cylindrical shells10.1016/S0020-7403(98)00054-X ↗
19. Vibration characteristics of functionally graded cylindrical shells under various boundary conditions10.1016/S0003-682X(99)00063-8 ↗
20. The elastic response of functionally graded cylindrical shells to low-velocity impact10.1016/S0734-743X(98)00058-X ↗
21. Transient waves in a functionally graded cylinder10.1016/S0020-7683(00)00219-5 ↗
22. Dynamic stability analysis of functionally graded cylindrical shells under periodic axial loading10.1016/S0020-7683(00)00090-1 ↗
23. Active control of FGM shell subjected to a temperature gradient via piezoelectric sensor/actuator patches10.1002/nme.519 ↗
24. Nonlinear analysis of functionally graded plates and shallow shells10.1016/S0020-7683(01)00048-8 ↗
25. Thermo-mechanical post-buckling analysis of functionally graded plates and shallow cylindrical shells10.1007/s00707-003-0035-4 ↗
26. Dynamic response of initially stressed functionally graded rectangular thin plates10.1016/S0263-8223(01)00122-2 ↗
27. Non-linear analysis of functionally graded plates under transverse and in plane loads10.1016/S0020-7462(01)00070-1 ↗
28. Post-buckling analysis of pressure-loaded functionally graded cylindrical shells in thermal environments10.1016/S0141-0296(02)00191-8 ↗
29. Thermal post-buckling behavior of functionally graded cylindrical shells with temperature-dependent properties10.1016/j.ijsolstr.2003.10.023 ↗
30. Thermal buckling of functionally graded cylindrical shell10.1080/713855892 ↗
31. Dynamic responses of a functionally graded pyroelectric hollow sphere for spherically symmetric problems10.1016/j.ijmecsci.2003.09.005 ↗
32. Dynamic buckling of functionally graded cylindrical shells under non-periodic impulsive loading10.1007/s00707-003-0028-3 ↗
33. Volmir AS. Stability of Elastic Systems. Moscow, Nauka. English Translation: Foreign Technology Division, Air Force Systems Command. Wright-Patterson Air Force Base, Ohio, AD628508; 1967.
34. The stability of functionally graded truncated conical shells subjected to a periodic impulsive loading10.1016/j.ijsolstr.2004.02.003 ↗
35. The buckling of FGM truncated conical shells subjected to combined axial tension and hydrostatic pressure10.1016/j.compstruct.2009.08.033 ↗
36. On a problem of the vibration of functionally graded conical shells with mixed boundary conditions10.1016/j.compositesb.2014.10.047 ↗
37. Supersonic flutter prediction of functionally graded conical shells10.1016/j.compstruct.2009.08.018 ↗
38. Geometrically nonlinear analysis of functionally graded plates and shells10.1080/15376490903082870 ↗
39. Buckling of functionally graded conical panels under mechanical loads10.1016/j.compstruct.2011.11.029 ↗
40. Instability of eccentrically stiffened functionally graded truncated conical shells under mechanical loads10.1016/j.compstruct.2013.05.050 ↗
41. Elastic and visco-elastic foundation models10.1115/1.3629667 ↗
42. Gorbunov–Possadov MI, Malikova TA, Solomin VI. Design of structures on elastic foundation. Third editon, revised and completed, Gos Izd Lit po Stroit I Arkh (Strojizdat), Moscow, USSR; 1984.
43. The exact solution for the general bending problems of conical shells on the elastic foundation10.1007/BF02465684 ↗
44. The buckling of FGM truncated conical shells subjected to axial compressive load and resting on Winkler-Pasternak foundations10.1016/j.ijpvp.2010.08.012 ↗
45. The vibration analysis of FGM truncated conical shells resting on two-parameter elastic foundations10.1080/15376494.2011.642934 ↗
46. On the stability of functionally graded truncated conical shells reinforced by functionally graded stiffeners and surrounded by an elastic medium10.1016/j.compstruct.2013.09.002 ↗
47. Ogibalov · 1968
48. Thermo elastic stability of functionally graded truncated conical shells10.1016/j.compstruct.2005.06.004 ↗
49. Linear thermal buckling analysis of truncated hybrid FGM conical shells10.1016/j.compositesb.2013.02.025 ↗
50. Thermal buckling of temperature-dependent FGM conical shells with arbitrary edge supports10.1007/s00707-014-1168-3 ↗
51. Thermal buckling of FGM shells resting on a two parameter elastic foundation10.1016/j.tws.2011.03.018 ↗
52. Mechanical and thermal stability of eccentrically stiffened functionally graded conical shell panels resting on elastic foundations and in thermal environment10.1016/j.compstruct.2015.05.072 ↗
53. Thermal and mechanical stability of functionally graded carbon nanotubes (FGCNT)-reinforced composite truncated conical shells surrounded by the elastic foundations10.1016/j.tws.2017.02.016 ↗
54. Nonlinear thermal stability of eccentrically stiffened functionally graded truncated conical shells surrounded on elastic foundations10.1016/j.euromechsol.2014.11.006 ↗
55. Thermal effect on free vibration of ring-stiffened rotating functionally graded conical shell with clamped ends10.1080/15376494.2016.1255809 ↗
56. Analytical investigation on the free vibration behavior of rotating FGM truncated conical shells reinforced by orthogonal eccentric stiffeners10.1080/15376494.2016.1255807 ↗
57. New approach to investigate nonlinear dynamic response and vibration of imperfect functionally graded carbon nanotube reinforced composite double curved shallow shells subjected to blast load and temperature10.1016/j.ast.2017.09.031 ↗
58. Volmir · 1972
59. Agamirov · 1990
60. Amabili · 2008
61. Non-linear buckling behavior of FGM truncated conical shells subjected to axial load10.1016/j.ijnonlinmec.2011.02.003 ↗
62. Influence of the initial imperfection on the non-linear buckling response of FGM truncated conical shells10.1016/j.ijmecsci.2011.06.007 ↗
63. Buckling and vibration analysis of a pressurized CNT reinforced functionally graded truncated conical shell under an axial compression using HDQ method10.1016/j.cma.2016.01.017 ↗
64. Non-linear buckling of an FGM truncated conical shell surrounded by an elastic medium10.1016/j.ijpvp.2013.03.010 ↗
65. The non-linear dynamics of FGM truncated conical shells surrounded by an elastic medium10.1016/j.ijmecsci.2012.10.006 ↗
66. Postbuckling nonlinear analysis of FGM truncated conical shells reinforced by orthogonal stiffeners resting on elastic foundations10.1007/s00707-016-1768-1 ↗
67. Vibration and nonlinear dynamic response of eccentrically stiffened functionally graded composite truncated conical shells surrounded by an elastic medium in thermal environments
68. Nonlinear thermomechanical postbuckling analysis of ES-FGM truncated conical shells resting on elastic foundations
69. Axisymmetric dynamic buckling of clamped shallow spherical shells
70. Dynamic buckling of imperfection-sensitive structures
71. Dynamic buckling of FGM truncated conical shells subjected to non-uniform normal impact load10.1016/j.compstruct.2010.05.009 ↗
72. Volmir AS. On the stability of dynamically loaded cylindrical shells. Report Academy Sci USSR 1958;123:806–8 (in Russian) also translated in Report of Soviet Physics 1958;3:1287–89.
73. Response of thin conical shells to dynamically applied axial force10.1016/0020-7462(72)90022-4 ↗
74. Approach to the solution of dynamic stability problems of thin shells
75. The nonlinear dynamic buckling response of functionally graded truncated conical shells10.1016/j.jsv.2012.09.032 ↗
76. Self-consistent elasto-plastic stress solutions for functionally graded material systems subjected to thermal transients10.1016/S0022-5096(01)00105-3 ↗
77. The vibration and stability of a three-layered conical shell containing a FGM layer subjected to axial compressive load10.1007/s00707-006-0328-5 ↗
78. The buckling and vibration analysis of coating-fgm-substrate conical shells under hydrostatic pressure with mixed boundary conditions10.1016/j.compstruct.2018.10.104 ↗
79. Non-linear stability analysis of truncated conical shell with functionally graded composite coatings in the finite deflection10.1016/j.compositesb.2013.03.029 ↗
80. On the solution of nonlinear vibration of truncated conical shells covered by functionally graded coatings10.1007/s00707-013-0980-5 ↗
81. On the dynamic buckling of truncated conical shells with functionally graded coatings subject to a time dependent axial load in the large deformation10.1016/j.compositesb.2013.10.013 ↗
82. Nonlinear stability analysis of eccentrically stiffened functionally graded truncated conical sandwich shells with porosity10.3390/ma11112200 ↗
83. Influence of rotary inertia and shear on flexural motions of isotropic elastic plates10.1115/1.4010217 ↗
84. Ambartsumyan SA. Theory of Anisotropic Shells. NASA, TT F-118; 1964.
85. A higher-order shear deformation theory of laminated elastic shells10.1016/0020-7225(85)90051-5 ↗
86. Efficient standard plate theory10.1016/0020-7225(91)90165-Y ↗
87. A transverse shear deformation theory for homogeneous monoclinic plates10.1007/BF01176650 ↗
88. Priori vs. a posteriori evaluation of transverse stresses in multilayered orthotropic plates10.1016/S0263-8223(99)00112-9 ↗
89. A new shear deformation theory for laminated composite plates10.1016/j.compstruct.2008.07.008 ↗
90. Buckling analysis of isotropic and laminated plates by radial basis functions according to a higher-order shear deformation theory10.1016/j.tws.2011.02.005 ↗
91. Free vibration analysis of functionally graded shells by a higher-order shear deformation theory and radial basis functions collocation, accounting for through-the-thickness deformations10.1016/j.euromechsol.2012.05.005 ↗
92. Reddy · 2004
93. 2-D differential quadrature solution for vibration analysis of functionally graded conical, cylindrical shell and annular plate structures10.1016/j.jsv.2009.07.031 ↗
94. Free vibration analysis of functionally graded panels and shells of revolution10.1007/s11012-008-9167-x ↗
95. Elastic solution of a two-dimensional functionally graded thick truncated cone with finite length under hydrostatic combined loads10.1007/s00707-010-0380-z ↗
96. Analysis of functionally graded thick truncated cone with finite length under hydrostatic internal pressure10.1007/s00419-010-0472-1 ↗
97. Free vibration analysis of functionally graded conical shell panels by a meshless method10.1016/j.compstruct.2010.08.014 ↗
98. Bending analysis of moderately thick functionally graded conical panels10.1016/j.compstruct.2010.10.020 ↗
99. Elastic analysis of pressurized thick truncated conical shells made of functionally graded materials10.12989/sem.2012.43.1.105 ↗
100. Bending analysis of moderately thick functionally graded conical panels with various boundary conditions using GDQ method10.1016/j.compstruct.2013.03.022 ↗