journal article·2025-12-02

The vibration behaviour-based meshfree moving Kriging method of functionally graded sandwich plates placed on Kerr foundation

Vu Khac Trai, Ngo Van Huong Binh, Trung Thanh Tran

Publisher page

Abstract

This paper presents a pioneering application of the meshfree moving Kriging (MK) method in conjunction with improved first-order shear deformation theory (i-FSDT) to study the vibration behaviour of functionally graded sandwich (FGSW) plates with a hard-core sandwiched between two FG skin layers placed on a Kerr foundation (KF). One significant advantage of MK interpolation is its Kronecker delta property, which allows for direct enforcement of boundary conditions (BCs). Unlike the original MK method, this approach eliminates the need to pre-define the correlation parameter, which might affect approximation accuracy. The governing equation was obtained using Hamilton’s concept. The Matlab code-based Newmark-β method is used to solve the motion equation of FGSW plates. The performance and accuracy of the proposed formula are verified through comparative examples. Then, the effects of geometrical dimensions, material properties, and BCs on the vibration behaviour of FGSW plates are examined in detail.
Source: openalex_inverted_index · Quality: baseline

Research context

OpenAlex topics: Composite Structure Analysis and Optimization · Structural Load-Bearing Analysis · Vibration and Dynamic Analysis

SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.

Affiliations

Nguyen Tat Thanh University

HUTECH University

Le Quy Don Technical University

References (72)

Show source-provided references
1. 10.1016/j.apm.2009.08.00810.1016/j.apm.2009.08.008 ↗
2. Luat DT, Van Thom D, Thanh TT, et al. Mechanical analysis of bi-functionally graded sandwich nanobeams. Adv Nano Res. 2021;11(1):55–71.
3. 10.1007/s00366-022-01679-610.1007/s00366-022-01679-6 ↗
4. 10.15625/0866-7136/1550310.15625/0866-7136/15503 ↗
5. 10.1016/j.dt.2023.07.01510.1016/j.dt.2023.07.015 ↗
6. 10.1002/(SICI)1097-0207(20000110/30)47:1/3<663::AID-NME787>3.0.CO;2-810.1002/(SICI)1097-0207(20000110/30)47:1/3<663::AID-NME787>3.0.CO;2-8 ↗
7. 10.3850/S201042861100002X10.3850/S201042861100002X ↗
8. 10.1016/j.apm.2010.03.03410.1016/j.apm.2010.03.034 ↗
9. 10.1016/j.compstruct.2012.08.02510.1016/j.compstruct.2012.08.025 ↗
10. 10.1016/j.apm.2005.03.00910.1016/j.apm.2005.03.009 ↗
11. 10.1016/j.apm.2013.04.02210.1016/j.apm.2013.04.022 ↗
12. 10.1016/j.compstruct.2011.12.00510.1016/j.compstruct.2011.12.005 ↗
13. 10.1016/j.compositesb.2012.05.03610.1016/j.compositesb.2012.05.036 ↗
14. 10.1002/adem.20230009610.1002/adem.202300096 ↗
15. 10.1177/109963621349888610.1177/1099636213498886 ↗
16. Zarga D. Thermomechanical bending study for functionally graded sandwich plates using a simple quasi-3D shear deformation theory. Steel Compos Struct, An Int J. 2019;32(3):389–410.
17. 10.1016/j.euromechsol.2015.06.01110.1016/j.euromechsol.2015.06.011 ↗
18. 10.1080/15397734.2023.229724610.1080/15397734.2023.2297246 ↗
19. 10.1080/15397734.2024.235452510.1080/15397734.2024.2354525 ↗
20. 10.1016/j.finel.2012.03.00610.1016/j.finel.2012.03.006 ↗
21. 10.1016/j.jsv.2007.09.01810.1016/j.jsv.2007.09.018 ↗
22. 10.1016/j.advengsoft.2012.05.00510.1016/j.advengsoft.2012.05.005 ↗
23. 10.1080/15376494.2016.119109510.1080/15376494.2016.1191095 ↗
24. 10.1016/j.compstruct.2017.05.03710.1016/j.compstruct.2017.05.037 ↗
25. 10.1016/j.compstruct.2023.11672210.1016/j.compstruct.2023.116722 ↗
26. 10.1142/S021945542450117710.1142/S0219455424501177 ↗
27. 10.1016/j.tws.2023.11120610.1016/j.tws.2023.111206 ↗
28. 10.1016/j.ijsolstr.2005.02.01510.1016/j.ijsolstr.2005.02.015 ↗
29. 10.1016/j.euromechsol.2013.12.00810.1016/j.euromechsol.2013.12.008 ↗
30. 10.1016/j.compstruct.2023.11762210.1016/j.compstruct.2023.117622 ↗
31. 10.1016/j.compositesb.2012.01.08910.1016/j.compositesb.2012.01.089 ↗
32. Tounsi A, Mostefa AH, Bousahla AA, et al. Thermodynamical bending analysis of P-FG sandwich plates resting on nonlinear visco-Pasternak’s elastic foundations. Steel Compos Struct. 2023;49(3):307–323.
33. 10.1016/j.tws.2022.10920310.1016/j.tws.2022.109203 ↗
34. 10.1061/(ASCE)0733-9399(1984)110:7(1086)10.1061/(ASCE)0733-9399(1984)110:7(1086) ↗
35. 10.1007/s12517-018-3579-210.1007/s12517-018-3579-2 ↗
36. 10.1016/j.tws.2020.10682010.1016/j.tws.2020.106820 ↗
37. Tounsi A, Mostefa AH, Attia A, et al. Free vibration investigation of functionally graded plates with temperaturedependent properties resting on a viscoelastic foundation. Struct Eng Mech, An Int’l J. 2023;86(1):1–16.
38. 10.1007/s40430-020-02677-910.1007/s40430-020-02677-9 ↗
39. 10.1080/15376494.2022.210360410.1080/15376494.2022.2103604 ↗
40. Belabed Z, Bousahla AA, Houari MSA, et al. A new 3-unknown hyperbolic shear deformation theory for vibration of functionally graded sandwich plate. Earthquakes Struct. 2018;14(2):103–115.
41. Belabed Z, Tounsi A, Al-Osta MA, et al. On the elastic stability and free vibration responses of functionally graded porous beams resting on Winkler-Pasternak foundations via finite element computation. Geomech Eng. 2024;36(2):183.
42. Hadji M. Combined influence of porosity and elastic foundation parameters on the bending behavior of advanced sandwich structures. Steel Compos Struct, An Int J. 2023;46(1):1–13.
43. Bounouara F, Aldosari SM, Chikh A, et al. The effect of visco-Pasternak foundation on the free vibration behavior of exponentially graded sandwich plates with various boundary conditions. Steel Compos Struct, An Int J. 2023;46(3):367–383.
44. 10.1142/S021945542550010510.1142/S0219455425500105 ↗
45. Lafi DE, Bouhadra A, Mamen B, et al. Combined influence of variable distribution models and boundary conditions on the thermodynamic behavior of FG sandwich plates lying on various elastic foundations. Struct Eng Mech, An Int’l J. 2024;89(2):103–119.
46. Kadiri A, Bendaida M, Attia A, et al. Wave propagation in FG polymer composite nanoplates embedded in variable elastic medium. Adv Nano Res. 2024;17(3):235–248.
47. Driz H, Attia A, Bousahla AA, et al. Dynamic response of imperfect functionally graded plates: impact of graded patterns and viscoelastic foundation. Struct Eng Mech. 2024;91(6):551.
48. Zerrouki R, Zidour M, Tounsi A, et al. Buckling behavior of nonlinear FG-CNT reinforced nanocomposite beam reposed on Winkler/Pasternak foundation. Comput Concr. 2024;34(3):297.
49. Mudhaffar IM, Chikh A, Tounsi A, et al. Impact of viscoelastic foundation on bending behavior of FG plate subjected to hygro-thermo-mechanical loads. Struct Eng Mech, An Int’l J. 2023;86(2):167–180.
50. 10.1016/j.engfracmech.2020.10712110.1016/j.engfracmech.2020.107121 ↗
51. 10.1016/j.tafmec.2017.10.00510.1016/j.tafmec.2017.10.005 ↗
52. 10.1007/s11012-016-0589-610.1007/s11012-016-0589-6 ↗
53. 10.1016/j.enganabound.2014.04.02110.1016/j.enganabound.2014.04.021 ↗
54. 10.1016/j.ijmecsci.2010.09.00810.1016/j.ijmecsci.2010.09.008 ↗
55. 10.1002/(SICI)1097-0207(19970430)40:8<1483::AID-NME123>3.0.CO;2-610.1002/(SICI)1097-0207(19970430)40:8<1483::AID-NME123>3.0.CO;2-6 ↗
56. 10.1002/nme.48910.1002/nme.489 ↗
57. 10.1002/nme.246210.1002/nme.2462 ↗
58. 10.1002/nme.55310.1002/nme.553 ↗
59. 10.1007/s00466-003-0462-z10.1007/s00466-003-0462-z ↗
60. 10.1007/s00707-018-2156-910.1007/s00707-018-2156-9 ↗
61. Le TDM, Van Do VN. Moving kriging meshfree method and kirchhoff plate theory for free vibration and thermal buckling analysis of advanced material plates. In: The International Conference on Sustainable Civil Engineering and Architecture; Da Nang City, Vietnam. Springer; 2023. p. 1459–1467.
62. 10.1016/j.compstruc.2016.07.00910.1016/j.compstruc.2016.07.009 ↗
63. 10.1080/10589759.2024.234197910.1080/10589759.2024.2341979 ↗
64. 10.1016/j.apm.2024.04.04910.1016/j.apm.2024.04.049 ↗
65. 10.1201/b1240910.1201/b12409 ↗
66. 10.3390/ma1215238510.3390/ma12152385 ↗
67. Wolf J. Dynamic soil-structure interaction. Prentice-Hall: Prentice Hall, Inc; 1985.
68. 10.1016/j.ast.2017.11.00410.1016/j.ast.2017.11.004 ↗
69. 10.1016/j.compstruct.2011.01.02010.1016/j.compstruct.2011.01.020 ↗
70. 10.1016/j.compositesb.2016.04.03510.1016/j.compositesb.2016.04.035 ↗
71. 10.1080/15397734.2024.238395810.1080/15397734.2024.2383958 ↗
72. 10.1016/j.compstruct.2018.11.00910.1016/j.compstruct.2018.11.009 ↗