A three-dimensional solution for free vibration and buckling of annular plate, conical, cylinder and cylindrical shell of FG porous-cellular materials using IGA
Source abstract
Abstract
Abstract This study aims to present a three-dimensional (3D) numerical solution for investigating the free vibration and buckling responses of annular plate, conical and cylindrical shell made of functionally graded (FG) porous rock materials. Isogeometric analysis (IGA) is utilized in order to develop the 3D numerical solution. Furthermore, the computational package is developed using C# Programming, which is an object-oriented programming language. The distribution of porosity along the thickness direction obeys the cosine function rule, for which the top surface is porosity-free, and the bottom surface is porosity-rich. The weak form for free vibration and buckling analyses are discretized and approximated through 3D NURBS based IGA. The accuracy of the present solutions is verified by the results obtained from published data. The convergence of 3D FGP solutions is checked, and it is found that a quartic NURBS element can yield high-accuracy results with the lowest computational cost. Afterward, the numerical results showed the impact of porosity of the FGP annular plate, FGP conical, and cylindrical shell on free vibration and buckling problems.
Source: openaire · Quality: candidate unverified · Source record ↗
Research context
OpenAlex topics: Composite Structure Analysis and Optimization · Advanced Numerical Analysis Techniques · Numerical methods in engineering
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References (48)
Show source-provided references
1. Vibration analysis of porous functionally graded nanoplates10.1016/j.ijengsci.2017.06.008 ↗
2. Buckling and bending analyses of a novel functionally graded porous plate using Chebyshev-Ritz method10.1016/j.acme.2018.09.004 ↗
3. Exact solution for free vibration of thick rectangular plates made of porous materials10.1016/j.compstruct.2015.08.125 ↗
4. The vibrational response of a clamped rectangular porous plate10.1006/jsvi.2000.3657 ↗
5. Bending vibrations of a rectangular poroelastic plate10.1016/S1620-7742(01)01375-7 ↗
6. Flexural vibrations of poroelastic plates10.1007/BF01180226 ↗
7. Modified Young’s moduli of nano-materials taking into account the scale effects and vacancies10.1007/s11012-010-9349-1 ↗
8. Free vibration analysis of functionally graded porous doubly-curved shells based on the first-order shear deformation theory10.3390/app7121252 ↗
9. Free vibration of functionally graded porous cylindrical shell using a sinusoidal shear deformation theory10.1016/j.ast.2017.03.003 ↗
10. Free vibration analysis of saturated porous FG circular plates integrated with piezoelectric actuators via differential quadrature method10.1016/j.tws.2018.01.007 ↗
11. Three-dimensional magneto-elastic analysis of asymmetric variable thickness porous FGM circular plates with non-uniform tractions and Kerr elastic foundations10.1016/j.compstruct.2015.02.049 ↗
12. Dynamics analysis of functionally graded porous (FGP) circular, annular and sector plates with general elastic restraints10.1016/j.compositesb.2018.08.114 ↗
13. Love, A.E.H.J.P.T.o.t.R.S.o.L., XVI. The small free vibrations and deformation of a thin elastic shell. 1888(179): p. 491-546.10.1098/rsta.1888.0016 ↗
14. Uber das gleichgewicht und die bewegung einer elastischen Scheibe
15. Influence of rotatory inertia and shear on flexural motions of isotropic, elastic plates10.1115/1.4010217 ↗
16. On the free vibration of orthotropic and inhomogeneous with spatial coordinates plates resting on the inhomogeneous viscoelastic foundation10.1080/15376494.2018.1430271 ↗
17. A simple higher-order theory for laminated composite plates10.1115/1.3167719 ↗
18. Analysis of functionally graded plates10.1002/(SICI)1097-0207(20000110/30)47:1/3<663::AID-NME787>3.0.CO;2-8 ↗
19. 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 ↗
20. Analysis of composite plates using a layerwise theory and multiquadrics discretization10.1080/15376490490493952 ↗
21. A new higher order shear deformation theory for sandwich and composite laminated plates10.1016/j.compositesb.2011.07.017 ↗
22. Static and dynamic analysis of laminated composite and sandwich plates and shells by using a new higher-order shear deformation theory10.1016/j.compstruct.2011.07.020 ↗
23. On the high temperature mechanical behaviors analysis of heated functionally graded plates using FEM and a new third-order shear deformation plate theory10.1016/j.compositesb.2016.02.048 ↗
24. A novel three-variable shear deformation plate formulation: Theory and Isogeometric implementation10.1016/j.cma.2017.07.024 ↗
25. Size-dependent nonlinear analysis and damping responses of FG-CNTRC micro-plates10.1016/j.cma.2019.05.002 ↗
26. The size-dependent thermal bending and buckling analyses of composite laminate microplate based on new modified couple stress theory and isogeometric analysis10.1016/j.cma.2019.02.028 ↗
27. Isogeometric analysis for size-dependent nonlinear thermal stability of porous FG microplates10.1016/j.compstruct.2019.04.010 ↗
28. A refined size-dependent couple stress theory for laminated composite micro-plates using isogeometric analysis10.1016/j.tws.2019.106427 ↗
29. A geometrically nonlinear size-dependent hypothesis for porous functionally graded micro-plate
30. Improved ANN technique combined with Jaya algorithm for crack identification in plates using XIGA and experimental analysis10.1016/j.tafmec.2020.102554 ↗
31. Damage assessment in composite laminates using ANN-PSO-IGA and Cornwell indicator10.1016/j.compstruct.2019.111509 ↗
32. Three-dimensional exact solution for the vibration of functionally graded rectangular plates10.1016/S0022-460X(03)00412-7 ↗
33. Three-dimensional vibration analysis of thick functionally graded conical, cylindrical shell and annular plate structures with arbitrary elastic restraints10.1016/j.compstruct.2014.07.049 ↗
34. Three-dimensional elasticity solution for vibration analysis of functionally graded hollow and solid bodies of revolution. Part I: Theory10.1016/j.euromechsol.2013.11.004 ↗
35. Exact solution for thermoelastic deformations of functionally graded thick rectangular plates10.2514/2.1805 ↗
36. An isogeometric finite element approach for three-dimensional static and dynamic analysis of functionally graded material plate structures10.1016/j.compstruct.2015.04.063 ↗
37. Static, dynamic and buckling analyses of 3D FGM plates and shells via an isogeometric-meshfree coupling approach10.1016/j.compstruct.2018.05.012 ↗
38. Asymptotic analysis of three-dimensional problem of elasticity theory for radially inhomogeneous transversally-isotropic thin hollow spheres10.1016/j.tws.2019.03.022 ↗
39. Review of research on the vibration and buckling of the FGM conical shells10.1016/j.compstruct.2018.12.047 ↗
40. Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement10.1016/j.cma.2004.10.008 ↗
41. Axi-symmetrical deflection and buckling of circular porous-cellular plate10.1016/j.tws.2007.06.006 ↗
42. Piegl, L. and W. Tiller, The NURBS Book. 1997: Springer.10.1007/978-3-642-59223-2 ↗
43. Reddy · 2003
44. The determination of biot's parameters for sandstones10.1007/BF02324137 ↗
45. 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 ↗
46. Three-dimensional vibration of cylindrical shell panels – solution by continuum and discrete approaches10.1007/s004660000168 ↗
47. Analytical solutions for bending, buckling and vibration analysis of functionally graded cylindrical panel10.15625/2525-2518/55/5/8843 ↗
48. A mesh-free method for analysis of the thermal and mechanical buckling of functionally graded cylindrical shell panels10.1007/s00466-009-0446-8 ↗