Free Vibration Analysis of Composite and Sandwich Plates by a Trigonometric Layerwise Deformation Theory and Radial Basis Functions
Source abstract
Abstract
In this study trigonometric layerwise deformation theory is used for the analysis of free vibration of symmetric composite plates. A meshless discretization method based on global multiquadric radial basis functions is used. The equations of motion and the boundary conditions are derived and interpolated by radial basis functions. This method is applied to the free vibration analysis of composite and sandwich plates. The results are then compared with analytical and numerical solutions. The results show that the use of trigonometric layerwise deformation theory discretized with multiquadrics provides very good solutions for the free vibration of composite and sandwich plates.
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Research context
OpenAlex topics: Composite Structure Analysis and Optimization · Numerical methods in engineering · Railway Engineering and Dynamics
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Affiliations
Department of Mechanical Engineering and Industrial Management, Faculty of Engineering, University of Porto, Rua Dr. Roberto Frias, 4200-465 Porto, Portugal
Department of Mechanical Engineering and Industrial Management, Faculty of Engineering, University of Porto, Rua Dr. Roberto Frias, 4200-465 Porto, Portugal,
References (42)
Show source-provided references
1. 10.1177/00219983690030031610.1177/002199836900300316 ↗
2. 10.1115/1.340865410.1115/1.3408654 ↗
3. 10.2514/3.5019410.2514/3.50194 ↗
4. Reissner, E. · J. Appl. Mech. · 1945 · 12 · A6910.1115/1.4009435 ↗
5. Reddy, J. N. · 1984
6. 10.1115/1.340874810.1115/1.3408748 ↗
7. 10.1016/S0022-460X(73)80052-510.1016/S0022-460X(73)80052-5 ↗
8. 10.1115/1.342303210.1115/1.3423032 ↗
9. Lo, K. H. · J. of Applied Mechanics · 1977 · 44 · 663
10. 10.1115/1.342415510.1115/1.3424155 ↗
11. 10.1115/1.316771910.1115/1.3167719 ↗
12. 10.1016/0020-7683(84)90056-810.1016/0020-7683(84)90056-8 ↗
13. 10.2514/3.691710.2514/3.6917 ↗
14. 10.1115/1.317307410.1115/1.3173074 ↗
15. 10.1115/1.317182810.1115/1.3171828 ↗
16. 10.1016/0266-3538(86)90087-410.1016/0266-3538(86)90087-4 ↗
17. 10.1080/1537649049049395210.1080/15376490490493952 ↗
18. 10.1002/nme.162036040710.1002/nme.1620360407 ↗
19. 10.1002/(SICI)1097-0207(19960615)39:11<1797::AID-NME928>3.0.CO;2-W10.1002/(SICI)1097-0207(19960615)39:11<1797::AID-NME928>3.0.CO;2-W ↗
20. 10.1080/1075941970894587510.1080/10759419708945875 ↗
21. 10.2514/2.44410.2514/2.444 ↗
22. 10.1016/S0263-8223(01)00178-710.1016/S0263-8223(01)00178-7 ↗
23. 10.1016/S0263-8223(00)00186-010.1016/S0263-8223(00)00186-0 ↗
24. 10.1177/07316840302761810.1177/073168403027618 ↗
25. 10.1029/JB076i008p0190510.1029/JB076i008p01905 ↗
26. 10.1016/0898-1221(90)90272-L10.1016/0898-1221(90)90272-L ↗
27. 10.1016/0898-1221(90)90270-T10.1016/0898-1221(90)90270-T ↗
28. 10.1016/0898-1221(90)90271-K10.1016/0898-1221(90)90271-K ↗
29. 10.1016/S0263-8223(02)00239-810.1016/S0263-8223(02)00239-8 ↗
30. 10.1080/1537649030674310.1080/15376490306743 ↗
31. 10.1016/S1359-8368(03)00083-010.1016/S1359-8368(03)00083-0 ↗
32. 10.1016/j.compstruc.2005.04.00210.1016/j.compstruc.2005.04.002 ↗
33. Fasshauer, G. E. · Surface fitting and multiresolution methods, Vol. 2 Proceedings of the 3rd International Conference on curves and surfaces · 1997 · 2 · 131
34. 10.1090/S0025-5718-1990-0993931-710.1090/S0025-5718-1990-0993931-7 ↗
35. 10.1137/S003614100037381110.1137/S0036141000373811 ↗
36. 10.1017/S096249290000001510.1017/S0962492900000015 ↗
37. 10.1177/09544062992130070710.1177/095440629921300707 ↗
38. 10.1016/S1359-8368(02)00035-510.1016/S1359-8368(02)00035-5 ↗
39. 10.1201/b1240910.1201/b12409 ↗
40. 10.1016/S0045-7825(03)00238-X10.1016/S0045-7825(03)00238-X ↗
41. Reddy, J. N. · 1997
42. Khdeir, A. A. · Part II: Buckling and Free Vibration, Composite Structures · 1988 · 9 · 259