Three-dimensional natural frequency analysis of anisotropic functionally graded annular sector plates resting on elastic foundations
Source abstract
Abstract
Abstract Natural frequency analysis of anisotropic functionally graded material (FGM) annular sector plates on Winkler elastic foundations based on three-dimensional theory of elasticity was investigated. The three-dimensional graded finite element formulation was derived based on the principle of minimum potential energy and the Rayleigh-Ritz method. For an orthotropic FGM, the material properties were assumed to have in-plane polar orthotropy and transverse heterogeneity according to an exponential law, whereas the mass density was assumed to be constant. For an isotropic FGM, material properties varied continuously through the thickness direction according to a power-law distribution, whereas Poisson’s ratio was set to be constant. The effects of material gradient exponents, different sector angles, different thickness ratio, Winkler parameter and two different boundary conditions on the natural frequencies and mode shapes of FGM annular sector plates have been investigated. Numerical solution was compared with the result of an FGM annular circular plate, which showed good agreement.
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Research context
OpenAlex topics: Composite Structure Analysis and Optimization · Railway Engineering and Dynamics · Vibration and Dynamic Analysis
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
Affiliations
Department of Mechanical Engineering, Amirkabir University of Technology, Hafez Ave., Tehran 1591634311, Iran
Department of Mechanical Engineering, Centre of Excellence in Smart Structures and Dynamical Systems, Amirkabir University of Technology, Hafez Ave., Tehran 1591634311, Iran
References (49)
Show source-provided references
1. Asemi K, Ashrafi H, Salehi M, Shariyat M. Acta Mech. 2013, 224, 1849–1864.10.1007/s00707-013-0835-010.1007/s00707-013-0835-0 ↗
2. Asemi K, Jedari Salami S, Salehi M, Sadighi M. Lat.Am. J. Solids Struct. 2014, 11, 504–533.10.1590/S1679-7825201400030000810.1590/S1679-78252014000300008 ↗
3. Asemi K, Shariyat M, Salehi M, Ashrafi H. Fin. Elem. Anal. Des. 2013, 74, 9–21.10.1016/j.finel.2013.05.01110.1016/j.finel.2013.05.011 ↗
4. Malekzadeh P, Dehbozorgi M, Monajjemzadeh SM. Sci. Eng. Compos. Mater., 2015, 22, 37–55.10.1515/secm-2013-014210.1515/secm-2013-0142 ↗
5. Turkmen D. Sci. Eng. Compos. Mater. 2011, 17, 39–46.10.1515/SECM.2010.17.1.3910.1515/SECM.2010.17.1.39 ↗
6. Bektaş NB, Akça M. Sci. Eng. Compos. Mater. 2012, 19, 361–371.10.1515/secm-2012-002910.1515/secm-2012-0029 ↗
7. Tahani M, Setoodeh AR, Selahi E. Sci. Eng. Compos. Mater. 2012, 20, 75–85.10.1515/secm-2012-004710.1515/secm-2012-0047 ↗
8. Li XY, Ding HJ, Chen WQ. Acta Mech. 2008, 196, 139–159.10.1007/s00707-007-0498-910.1007/s00707-007-0498-9 ↗
9. Nie G, Zhong Z. Acta Mech. Solida Sin. 2007, 20, 289–295.10.1007/s10338-007-0734-910.1007/s10338-007-0734-9 ↗
10. Sburlati R, Bardella L. Eur. J. Mech. A/Solids 2011, 30, 219–235.10.1016/j.euromechsol.2010.12.00810.1016/j.euromechsol.2010.12.008 ↗
11. Reddy JN, Wang CM, Kitiporncha S. Eur. J. Mech. A/Solids 1999, 18, 185–199.10.1016/S0997-7538(99)80011-410.1016/S0997-7538(99)80011-4 ↗
12. Yun W, Rongqiao X, Haojiang D. Compos. Struct. 2010, 92, 1683–1693.10.1016/j.compstruct.2009.12.00210.1016/j.compstruct.2009.12.002 ↗
13. Aghdam MM, Shahmansouri N, Mohammadi M. Math. Comput. Simul. 2012, 86, 118–130.10.1016/j.matcom.2010.07.02910.1016/j.matcom.2010.07.029 ↗
14. Shariyat M, Alipour MM. Arch. Appl. Mech. 2011, 81, 1289–1306.10.1007/s00419-010-0484-x10.1007/s00419-010-0484-x ↗
15. Nie GJ, Zhong Z. Comput. Methods Appl. Mech. Eng. 2007, 196, 4901–4910.10.1016/j.cma.2007.06.02810.1016/j.cma.2007.06.028 ↗
16. Tornabene F, Viola E, Inman DJ. J. Sound Vib. 2009, 328, 259–290.10.1016/j.jsv.2009.07.03110.1016/j.jsv.2009.07.031 ↗
17. Dong CY. Mater. Des. 2008, 29, 1518–1525.10.1016/j.matdes.2008.03.00110.1016/j.matdes.2008.03.001 ↗
18. Tajeddini V, Ohadi A, Sadighi M. Int. J. Mech. Sci. 2011, 53, 300–308.10.1016/j.ijmecsci.2011.01.01110.1016/j.ijmecsci.2011.01.011 ↗
19. Malekzadeh P, Shahpari SA, Ziaee HR. J. Sound Vib. 2010, 329, 425–442.10.1016/j.jsv.2009.09.02510.1016/j.jsv.2009.09.025 ↗
20. Tahouneh V, Yas MH, Tourang H, Kabirian M. Meccanica 2013, 48, 1313–1336.10.1007/s11012-012-9669-410.1007/s11012-012-9669-4 ↗
21. Yas MH, Tahouneh V. Acta Mech. 2012, 223, 43–62.10.1007/s00707-011-0543-610.1007/s00707-011-0543-6 ↗
22. Jodaei A, Jalal M, Yas MH. Compos.: Part B 2012, 43, 340–353.10.1016/j.compositesb.2011.08.05210.1016/j.compositesb.2011.08.052 ↗
23. Hosseini-Hashemi S, Derakhshani M, Fadaee M. Appl. Math. Model. 2012, 37, 4147–4164.10.1016/j.apm.2012.08.00210.1016/j.apm.2012.08.002 ↗
24. Hosseini-Hashemi S, Fadaee M, Es’haghi M. Int. J. Mech. Sci. 2010, 52, 1025–1035.10.1016/j.ijmecsci.2010.04.00910.1016/j.ijmecsci.2010.04.009 ↗
25. Çallıoğlu H, Demir E, Yılmaz Y, Girgin Z. Sci. Eng. Compos. Mater. 2014, 21, 453–461.10.1515/secm-2013-013410.1515/secm-2013-0134 ↗
26. Saidi AR, Hasani Baferani A, Jomehzadeh E. Acta Mech. 2011, 219, 309–335.10.1007/s00707-011-0459-110.1007/s00707-011-0459-1 ↗
27. Tahouneh V, Yas MH. Acta Mech. 2012, 223, 1879–1897.10.1007/s00707-012-0648-610.1007/s00707-012-0648-6 ↗
28. Nie GJ, Zhong Z. Compos. Struct. 2008, 84, 167–176.10.1016/j.compstruct.2007.07.00310.1016/j.compstruct.2007.07.003 ↗
29. Sampath S, Herman H, Shimoda N, Saito T. MRS Bull. 1995, 20, 27–31.10.1557/S088376940004888010.1557/S0883769400048880 ↗
30. Kaysser WA, Ilschner B. MRS Bull. 1995, 20, 22–26.10.1557/S088376940004887910.1557/S0883769400048879 ↗
31. Gu P, Asaro RJ. Int. J. Solids Struct. 1997, 34, 1–17.10.1016/0020-7683(95)00289-810.1016/0020-7683(95)00289-8 ↗
32. Ozturk M, Erdogan F. Int. J. Eng. Sci. 1997, 35, 869–883.10.1016/S0020-7225(97)80005-510.1016/S0020-7225(97)80005-5 ↗
33. Ozturk M, Erdogan F. Int. J. Fract. 1999, 98, 243–261.10.1023/A:101835220372110.1023/A:1018352203721 ↗
34. Kim JH, Paulino GH. Eng. Fract. Mech. 2002, 69, 1557–1586.10.1016/S0013-7944(02)00057-710.1016/S0013-7944(02)00057-7 ↗
35. Hamid B, Soheil M. Compos.: Part B 2013, 44, 8–25.10.1016/j.compositesb.2012.07.05510.1088/2058-7058/25/07/42 ↗
36. Rao BN, Rahman S. Mech. Mater. 2005, 37, 1007–1025.10.1016/j.mechmat.2005.01.00110.1016/j.mechmat.2005.01.001 ↗
37. Kim JH, Paulino GH. Mech. Mater. 2003, 35, 107–128.10.1016/S0167-6636(02)00159-X10.1016/S0167-6636(02)00159-X ↗
38. Pelletier JL, Vel SS. Int. J. Solids Struct. 2006, 43, 1131–1158.10.1016/j.ijsolstr.2005.03.07910.1016/j.ijsolstr.2005.03.079 ↗
39. Ootao Y, Tanigawa Y. Compos. Struct. 2007, 80, 10–20.10.1016/j.compstruct.2006.02.02810.1016/j.compstruct.2006.02.028 ↗
40. Nie GJ, Batra RC. Compos. Sci. Technol. 2010, 70, 450–457.10.1016/j.compscitech.2009.11.01810.1016/j.compscitech.2009.11.018 ↗
41. Wang M, Liu Y. Eur. J. Mech. A/Solids 2013, 37, 8–16.10.1016/j.euromechsol.2012.04.00510.1016/j.euromechsol.2012.04.005 ↗
42. Kim JH, Paulino GH. J. Appl. Mech. 2002, 69, 502–514.10.1115/1.146709410.1115/1.1467094 ↗
43. Zhang Z, Paulino GH. Int. J. Solids Struct. 2007, 44, 3601–3626.10.1016/j.jss.2006.12.05310.1016/j.ijsolstr.2005.05.061 ↗
44. Asemi K, Akhlaghi M, Salehi M. Meccanica 2012, 47, 1441–1453.10.1007/s11012-011-9527-910.1007/s11012-011-9527-9 ↗
45. Ashrafi H, Asemi K, Shariyat M, Salehi M. Meccanica 2013, 48, 663–680.10.1007/s11012-012-9623-510.1007/s11012-012-9623-5 ↗
46. Yang XB, Zhuang Z, Yao XF. Key Eng. Mater. 2006, 324–325, 239–242.10.4028/www.scientific.net/KEM.324-325.23910.4028/www.scientific.net/KEM.324-325.239 ↗
47. Hong, CC. Eur. J. Mech. A/Solids 2014, 43, 78–88.10.1016/j.euromechsol.2013.09.00310.1016/j.euromechsol.2013.09.003 ↗
48. Zienkiewicz OC, Taylor RL. The Finite Element Method for Solid and Structural Mechanics, 6th edn., Elsevier Butterworth-Heinemann: Oxford, 2005.
49. Pan E. J. Compos. Mater. 2003, 37, 1903–1920.10.1177/00219980303556510.1177/002199803035565 ↗