Free vibration and kriging uncertainty analysis of skew laminated composite plates resting on elastic foundation having cut-outs and carrying attached mass using FEM
Bibliographic record
Abstract
No abstract is available for this record. The assistant can identify its topic from the title, but cannot infer the study’s results.
Source: Not provided · Quality: missing
Research context
OpenAlex topics: Composite Structure Analysis and Optimization · Structural Analysis and Optimization · Structural Load-Bearing Analysis
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
References (61)
Show source-provided references
1. Alibeigloo, A., Shakeri, M., Kari, M.R.: Free vibration analysis of antisymmetric laminated rectangular plates with distributed patch mass using third-order shear deformation theory. Ocean Eng. 35(2), 183–190 (2008). https://doi.org/10.1016/j.oceaneng.2007.09.00210.1016/j.oceaneng.2007.09.002 ↗
2. Amabili, M., Carra, S.: Experiments and simulations for large-amplitude vibrations of rectangular plates carrying concentrated masses. J. Sound Vib. 331(1), 155–166 (2012). https://doi.org/10.1016/j.jsv.2011.08.00810.1016/j.jsv.2011.08.008 ↗
3. Anlas, G., Göker, G.: Vibration analysis of skew fibre-reinforced composite laminated plates. J. Sound Vib. 242(2), 265–276 (2001). https://doi.org/10.1006/jsvi.2000.336610.1006/jsvi.2000.3366 ↗
4. Boscolo, M., Banerjee, J.R.: Dynamic stiffness elements and their applications for plates using first order shear deformation theory. Comput. Struct. 89(3–4), 395–410 (2011). https://doi.org/10.1016/j.compstruc.2010.11.00510.1016/j.compstruc.2010.11.005 ↗
5. Chakraverty, S., Pradhan, K.K.: Flexural vibration of functionally graded thin skew plates resting on elastic foundations. Int. J. Dyn. Control 6(1), 97–121 (2018). https://doi.org/10.1007/s40435-017-0308-810.1007/s40435-017-0308-8 ↗
6. Chen, Y., Jin, G., Liu, Z.: Flexural and in-plane vibration analysis of elastically restrained thin rectangular plate with cutout using Chebyshev-Lagrangian method. Int. J. Mech. Sci. 89, 264–278 (2014). https://doi.org/10.1016/j.ijmecsci.2014.09.00610.1016/j.ijmecsci.2014.09.006 ↗
7. Chikkol Venkateshappa, S., Kumar, P., Ekbote, T.: Free vibration studies on plates with central cut-out. CEAS Aeronaut. J. 10(2), 623–632 (2019). https://doi.org/10.1007/s13272-018-0339-710.1007/s13272-018-0339-7 ↗
8. Farag, A.M., Ashour, A.S.: Free vibration of orthotropic skew plates. J. Vib. Acoust. 122(3), 313–317 (2000). https://doi.org/10.1115/1.130208510.1115/1.1302085 ↗
9. Ghosh, S., Haldar, S.: Free vibration analysis of isotropic and laminated composite plate on elastic point supports using finite element method. Mech. Based des. Struct. Mach. 2022, 371–384 (2022)
10. Ghosh, S., Pal, S., Haldar, S.: Dynamic analysis of rectangular cut-out plates resting on elastic foundation. Int. J. Mech. Mater. des. 20(1), 81–105 (2024). https://doi.org/10.1007/s10999-023-09662-910.1007/s10999-023-09662-9 ↗
11. Guo, H., Zhuang, X., Rabczuk, T.: A deep collocation method for the bending analysis of Kirchhoff plate. Comput. Mater. Contin. 59(2), 433–456 (2019). https://doi.org/10.32604/cmc.2019.0666010.32604/cmc.2019.06660 ↗
12. Haldar, S., Pal, S., Kalita, K.: Free vibration of skew laminates—a brief review and some benchmark results. Trans. R. Inst. Nav. Archit. Part A Int. J. Marit. Eng. 2019, 1 (2019)
13. Han, W., Dickinson, S.M.M.: Free vibration of symmetrically laminated skew plates. J. Sound Vib. 208(3), 367–390 (1997). https://doi.org/10.1006/jsvi.1997.119810.1006/jsvi.1997.1198 ↗
14. Huang, B., Wang, J., Du, J., Ma, T., Guo, Y., Qian, Z.: Vibration analysis of a specially orthotropic composite laminate with rectangular cutout using independent coordinate coupling method. Compos. Struct. 150, 53–61 (2016). https://doi.org/10.1016/j.compstruct.2016.05.01010.1016/j.compstruct.2016.05.010 ↗
15. Jahromi, H.N., Aghdam, M.M., Fallah, A.: Free vibration analysis of Mindlin plates partially resting on Pasternak foundation. Int. J. Mech. Sci. 75, 1–7 (2013). https://doi.org/10.1016/j.ijmecsci.2013.06.00110.1016/j.ijmecsci.2013.06.001 ↗
16. Joodaky, A., Joodaky, I.: A semi-analytical study on static behavior of thin skew plates on Winkler and Pasternak foundations. Int. J. Mech. Sci. 100, 322–327 (2015). https://doi.org/10.1016/j.ijmecsci.2015.06.02510.1016/j.ijmecsci.2015.06.025 ↗
17. Kanasogi, R.M., Ray, M.C.: Control of geometrically nonlinear vibrations of skew laminated composite plates using skew or rectangular 1–3 piezoelectric patches. Int. J. Mech. Mater. des. 9(4), 325–354 (2013). https://doi.org/10.1007/s10999-013-9224-z10.1007/s10999-013-9224-z ↗
18. Kant, T., Swaminathan, K.: Free vibration of isotropic, orthotropic, and multilayer plates based on higher order refined theories. J. Sound Vib. 241(2), 319–327 (2001). https://doi.org/10.1006/jsvi.2000.323210.1006/jsvi.2000.3232 ↗
19. Ketabdari, M.J., Allahverdi, A., Boreyri, S., Ardestani, M.F.: Free vibration analysis of homogeneous and FGM skew plates resting on variable Winkler-Pasternak elastic foundation. Mech. Ind. (2016). https://doi.org/10.1051/meca/201505110.1051/meca/2015051 ↗
20. Kiani, Y., Żur, K.K.: Free vibrations of graphene platelet reinforced composite skew plates resting on point supports. Thin-Walled Struct. 176, 109363 (2022). https://doi.org/10.1016/j.tws.2022.10936310.1016/j.tws.2022.109363 ↗
21. Krige, D. G.: A statistical approach to some basic mine valuation problems on the Witwatersrand. J. South. African Inst. Min. Metall. 52(6), 119–139 (1951). https://hdl.handle.net/10520/AJA0038223X_4792
22. Krishna Reddy, A.R., Palaninathan, R.: Free vibration of skew laminates. Comput. Struct. 70(4), 415–423 (1999). https://doi.org/10.1016/S0045-7949(98)00166-710.1016/S0045-7949(98)00166-7 ↗
23. Lee, S.Y.: Finite element dynamic stability analysis of laminated composite skew plates containing cutouts based on HSDT. Compos. Sci. Technol. 70(8), 1249–1257 (2010). https://doi.org/10.1016/j.compscitech.2010.03.01310.1016/j.compscitech.2010.03.013 ↗
24. Li, Y., Zhou, M., Li, M.: Analysis of the free vibration of thin rectangular plates with cut-outs using the discrete singular convolution method. Thin-Walled Struct. 147, 106529 (2020). https://doi.org/10.1016/j.tws.2019.10652910.1016/j.tws.2019.106529 ↗
25. Liang, K., Sun, P., Wang, D.: Quantitative analysis of deformation performance for skew slab based on deformation energy decomposition method of triangular prism element. Structures 63, 106447 (2024). https://doi.org/10.1016/j.istruc.2024.10644710.1016/j.istruc.2024.106447 ↗
26. Liew, K., Huang, Y., Reddy, J.: Vibration analysis of symmetrically laminated plates based on FSDT using the moving least squares differential quadrature method. Comput. Methods Appl. Mech. Eng. 192(19), 2203–2222 (2003). https://doi.org/10.1016/S0045-7825(03)00238-X10.1016/S0045-7825(03)00238-X ↗
27. Liu, J., Xie, Z., Gao, J., Hu, Y., Zhao, J.: Failure characteristics of the active-passive damping in the functionally graded piezoelectric layers-magnetorheological elastomer sandwich structure. Int. J. Mech. Sci. 215, 106944 (2022). https://doi.org/10.1016/j.ijmecsci.2021.10694410.1016/j.ijmecsci.2021.106944 ↗
28. Low, K.H., Ng, C.K., Ong, Y.K.: Comparative study of frequencies for plates carrying mass. J. Eng. Mech. 119(5), 917–937 (1993). https://doi.org/10.1061/(ASCE)0733-9399(1993)119:5(917)10.1061/(ASCE)0733-9399(1993)119:5(917) ↗
29. Mandal, A., Ray, C., Haldar, S.: Free vibration analysis of laminated composite skew plates with cut-out. Arch. Appl. Mech. 87(9), 1511–1523 (2017). https://doi.org/10.1007/s00419-017-1267-410.1007/s00419-017-1267-4 ↗
30. Mandal, A., Ray, C., Haldar, S.: Experimental and numerical studies on vibration characteristics of laminated composite skewed shells with cutout. Compos. Part B Eng. 161, 228–240 (2019). https://doi.org/10.1016/j.compositesb.2018.10.07510.1016/j.compositesb.2018.10.075 ↗
31. Mandal, A., Ray, C., Haldar, S.: Experimental and numerical free vibration analysis of laminated composite plates with arbitrary cut-outs. J. Inst. Eng. Ser. C 101(2), 281–289 (2020). https://doi.org/10.1007/s40032-019-00537-710.1007/s40032-019-00537-7 ↗
32. Matheron, G.: Principles of geostatistics. Econ. Geol. 58(8), 1246–1266 (1963). https://doi.org/10.2113/gsecongeo.58.8.124610.2113/gsecongeo.58.8.1246 ↗
33. Matsunaga, H.: Vibration and stability of thick plates on elastic foundations. J. Eng. Mech. 126(1), 27–34 (2000). https://doi.org/10.1061/(ASCE)0733-9399(2000)126:1(27)10.1061/(ASCE)0733-9399(2000)126:1(27) ↗
34. Mizusawa, T.: Vibrations of skew plates carrying a concentrated mass. J. Sound Vib. 116(3), 561–572 (1987). https://doi.org/10.1016/S0022-460X(87)81384-610.1016/S0022-460X(87)81384-6 ↗
35. Mohammadi, H., Kamil Żur, K., Kiani, Y.: On the nonlinear mechanics of hybrid skew aerospace structures. Aerosp. Sci. Technol. 155, 109624 (2024). https://doi.org/10.1016/j.ast.2024.10962410.1016/j.ast.2024.109624 ↗
36. Monforton, G.R.: Some orthotropic skew plate finite element results. J. Struct. Div. 98(4), 955–960 (1972). https://doi.org/10.1061/JSDEAG.000322010.1061/JSDEAG.0003220 ↗
37. Ngo-Cong, D., Mai-Duy, N., Karunasena, W., Tran-Cong, T.: Free vibration analysis of laminated composite plates based on FSDT using one-dimensional IRBFN method. Comput. Struct. 89(1–2), 1–13 (2011). https://doi.org/10.1016/j.compstruc.2010.07.01210.1016/j.compstruc.2010.07.012 ↗
38. Noor, A.K.: Free vibrations of multilayered composite plates. AIAA J. 11(7), 1038–1039 (1973). https://doi.org/10.2514/3.686810.2514/3.6868 ↗
39. Pal, S., Kanak, K., Haldar, S.: Grey wolf optimizer based-natural frequency optimization of laminated composite shells carrying distributed mass. Mech. Based des. Struct. Mach. 52(11), 8509–8543 (2024). https://doi.org/10.1080/15397734.2024.232197110.1080/15397734.2024.2321971 ↗
40. Rasmussen, C.E.: Gaussian processes in machine learning. In: Bousquet, O., von Luxburg, U., Rätsch, G. (eds.) Summer School on Machine Learning, pp. 63–71. Springer, Berlin, Heidelberg (2004)
41. Rathbun, S.L., Stein, M.L.: Interpolation of spatial data: some theory for kriging. J. Am. Stat. Assoc. 2000, 1 (2000)
42. Ray, M.C.: Three-dimensional exact elasticity solutions for antisymmetric angle-ply laminated composite plates. Int. J. Mech. Mater. des. 17(4), 767–782 (2021). https://doi.org/10.1007/s10999-021-09536-y10.1007/s10999-021-09536-y ↗
43. Samaniego, E., Anitescu, C., Goswami, S., Nguyen-Thanh, V.M., Guo, H., Hamdia, K., Zhuang, X., Rabczuk, T.: An energy approach to the solution of partial differential equations in computational mechanics via machine learning: concepts, implementation and applications. Comput. Methods Appl. Mech. Eng. 362, 112790 (2020). https://doi.org/10.1016/j.cma.2019.11279010.1016/j.cma.2019.112790 ↗
44. Shi, P., Dong, C.: A refined hyperbolic shear deformation theory for nonlinear bending and vibration isogeometric analysis of laminated composite plates. Thin-Walled Struct. 174, 109031 (2022). https://doi.org/10.1016/j.tws.2022.10903110.1016/j.tws.2022.109031 ↗
45. Shi, D., Zhang, H., Wang, Q., Zha, S.: Free and forced vibration of the moderately thick laminated composite rectangular plate on various elastic winkler and pasternak foundations. Shock. Vib. (2017). https://doi.org/10.1155/2017/782013010.1155/2017/7820130 ↗
46. Singha, M.K., Daripa, R.: Nonlinear vibration of symmetrically laminated composite skew plates by finite element method. Int. J. Non. Linear. Mech. 42(9), 1144–1152 (2007). https://doi.org/10.1016/j.ijnonlinmec.2007.08.00110.1016/j.ijnonlinmec.2007.08.001 ↗
47. Sobol, I.: Global sensitivity indices for nonlinear mathematical models and their Monte Carlo estimates. Math. Comput. Simul 55(1–3), 271–280 (2001). https://doi.org/10.1016/S0378-4754(00)00270-610.1016/S0378-4754(00)00270-6 ↗
48. Su, Y., Zhu, J., Long, X., Zhao, L., Chen, C., Liu, C.: Statistical effects of pore features on mechanical properties and fracture behaviors of heterogeneous random porous materials by phase-field modeling. Int. J. Solids Struct. 264, 112098 (2023). https://doi.org/10.1016/j.ijsolstr.2022.11209810.1016/j.ijsolstr.2022.112098 ↗
49. Svec, O.J.: Thick plates on elastic foundations by finite elements. J. eng. Mech. Div. 102(3), 461–477 (1976). https://doi.org/10.1061/JMCEA3.000212510.1061/JMCEA3.0002125 ↗
50. Thai, H.T., Park, M., Choi, D.H.: A simple refined theory for bending, buckling, and vibration of thick plates resting on elastic foundation. Int. J. Mech. Sci. 73, 40–52 (2013). https://doi.org/10.1016/j.ijmecsci.2013.03.01710.1016/j.ijmecsci.2013.03.017 ↗
51. Vallabhan, C.V.G., Daloglu, A.T.: Consistent FEM-Vlasov model for plates on layered soil. J. Struct. Eng. 125(1), 108–113 (1999). https://doi.org/10.1061/(asce)0733-9445(1999)125:1(108)10.1061/(asce)0733-9445(1999)125:1(108) ↗
52. Wang, S.: Vibration of thin skew fibre reinforced composite laminates. J. Sound Vib. 201(3), 335–352 (1997). https://doi.org/10.1006/jsvi.1996.074510.1006/jsvi.1996.0745 ↗
53. Wang, S., He, J., Fan, J., Sun, P., Wang, D.: A time-domain method for free vibration responses of an equivalent viscous damped system based on a complex damping model. J. Low Freq. Noise Vib. Act. Control 42(3), 1531–1540 (2023). https://doi.org/10.1177/1461348423115751410.1177/14613484231157514 ↗
54. Wang, C., Song, Z., Fan, H.: Novel evidence theory-based reliability analysis of functionally graded plate considering thermal stress behavior. Aerosp. Sci. Technol. 146, 108936 (2024). https://doi.org/10.1016/j.ast.2024.10893610.1016/j.ast.2024.108936 ↗
55. Wu, Q., Wang, S., Yao, M., Niu, Y., Wang, C.: Nonlinear dynamics of three-layer microplates: simultaneous presence of the micro-scale and imperfect effects. Eur. Phys. J. plus (2024). https://doi.org/10.1140/epjp/s13360-024-05255-310.1140/epjp/s13360-024-05255-3 ↗
56. Xue, K., Huang, W., Li, Q.: Three-dimensional vibration analysis of laminated composite rectangular plate with cutouts. Materials (2020). https://doi.org/10.3390/ma1314311310.3390/ma13143113 ↗
57. Zhang, C., Khorshidi, H., Najafi, E., Ghasemi, M.: Fresh, mechanical and microstructural properties of alkali-activated composites incorporating nanomaterials: a comprehensive review. J. Clean. Prod. 384, 135390 (2023a). https://doi.org/10.1016/j.jclepro.2022.13539010.1016/j.jclepro.2022.135390 ↗
58. Zhang, W., Kang, S., Liu, X., Lin, B., Huang, Y.: Experimental study of a composite beam externally bonded with a carbon fiber-reinforced plastic plate. J. Build. Eng. 71, 106522 (2023b). https://doi.org/10.1016/j.jobe.2023.10652210.1016/j.jobe.2023.106522 ↗
59. Zhang, M., Xu, Y.C., Wang, J.F., Peng, K.R., Dai, S., Wu, J.M., Zhu, L.: Cold-sprayed Cu matrix composite coatings with core-shell structured Co@WC reinforcements on Q235 steel. Surf. Interface 56(1139), 105577 (2025). https://doi.org/10.1016/j.surfin.2024.10557710.1016/j.surfin.2024.105577 ↗
60. Zhao, Y., Guo, F., Sun, Y., Shi, Q.: Modeling and vibration analyzing of a double-beam system with a coupling nonlinear energy sink. Nonlinear Dyn. 112(11), 9043–9061 (2024). https://doi.org/10.1007/s11071-024-09551-610.1007/s11071-024-09551-6 ↗
61. Zhuang, X., Guo, H., Alajlan, N., Zhu, H., Rabczuk, T.: Deep autoencoder based energy method for the bending, vibration, and buckling analysis of Kirchhoff plates with transfer learning. Eur. J. Mech. A/Solids 87, 104225 (2021). https://doi.org/10.1016/j.euromechsol.2021.10422510.1016/j.euromechsol.2021.104225 ↗