Fundamental frequency of isotropic and orthotropic rectangular plates with linearly varying thickness by discrete singular convolution method

Applied Mathematical Modelling

Volumn 33, Issue 10, 2009, Pages 3825-3835

  Civalek, Ömer ^a  

^a AKDENIZ UNIVERSITY   (Turkey)

Author keywords

Discrete singular convolution method; Free vibration; Orthotropic material; Tapered plate

Indexed keywords

DISCRETE SINGULAR CONVOLUTION; DISCRETE SINGULAR CONVOLUTION METHOD; FREE VIBRATION; FREE VIBRATION PROBLEM; FREQUENCY PARAMETERS; FUNDAMENTAL FREQUENCIES; MODE NUMBER; NUMERICAL SOLUTION; ORTHOTROPIC MATERIAL; ORTHOTROPIC RECTANGULAR PLATES; TAPERED PLATE; VARYING THICKNESS;

ASPECT RATIO;

CONVOLUTION;

EID: 65849468229     PISSN: 0307904X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.apm.2008.12.019     Document Type: Article

References (39)

1. Dokanish M.A., and Kumar K. Am. Inst. Aeronaut. Astronaut. J. 11 (1973) 1618-1621
2. Sakata T. J. Acoust. Soc. Am. 60 (1976) 844-847
3. Bert C.W., and Malik M. J. Sound Vib. 190 1 (1996) 41-63
4. Kukreti A.R., Farsa J., and Bert C.W. J. Sound Vib. 189 (1996) 103-122
5. Akiyama K., and Kuroda M. J. Sound Vib. 205 3 (1997) 380-384
6. Ng S.F., and Araar Y. J. Sound Vib. 135 (1989) 265-274
7. Chen S.H. J. Eng. Ind-Trans. ASME 98 (1976) 166-170
8. Appl F.C., and Byers N.S. J. App. Mech. ASME 32 (1965) 163-168
9. Pulmano V.A., and Gupta R.K. J. Eng. Mech. ASCE 102 (1976) 553-559
10. Cheung Y.K., and Zhou D. J. Sound Vib. 223 (1999) 703-722
11. Lim C.W., and Liew K.M. Thin Wall. Struct. 17 2 (1993) 133-159
12. Liew K.M., Xiang Y., and Kitipornchai S. J. Sound Vib. 180 (1995) 163-176
13. Liew K.M., and Wang C.M. Eng. Struct. 15 1 (1993) 55-60
14. Liew K.M., Ng T.Y., and Kitipornchai S. Int. J. Solids Struct. 8 28-29 (2001) 4937-4954
15. Wei G.W. J. Chem. Phys. 110 (1999) 8930-8942
16. Wei G.W. J. Phys. B: At. Mol. Opt. Phys. 33 (2000) 343-352
17. Zhao S., Wei G.W., and Xiang Y. J. Sound Vib. 284 (2005) 487-493
18. Wei G.W., Zhao Y.B., and Xiang Y. Int. J. Mech. Sci. 43 (2001) 1731-1746
19. Lim C.W., Li Z.R., Xiang Y., Wei G.W., and Wang C.M. Adv. Vib. Eng. 4 (2005) 221-248
20. Lim C.W., Li Z.R., and Wei G.W. Int. J. Numer. Meth. Eng. 62 (2005) 205-232
21. Wan D.C., and Wei G.W. Acta Mech. Sinica 16 3 (2000) 223-239
22. Wei G.W. Comput. Method Appl. Mech. Eng. 190 (2001) 2017-2030
23. Wei G.W. J. Sound Vib. 244 (2001) 535-553
24. Wei G.W. Eng. Struct. 23 (2001) 1045-1053
25. Wei G.W., Zhao Y.B., and Xiang Y. Int. J. Numer. Meth. Eng. 55 (2002) 913-946
26. Wei G.W., Zhao Y.B., and Xiang Y. J. Sound Vib. 257 (2002) 207-246
27. Zhao Y.B., Wei G.W., and Xiang Y. Int. J. Solids Struct. 39 (2002) 65-88
28. Zhao Y.B., Wei G.W., and Xiang Y. Int. J. Solids Struct. 39 (2002) 1361-1383
29. Zhao Y.B., and Wei G.W. J. Sound Vib. 255 2 (2002) 203-228
30. Civalek O. Steel Compos. Struct. 6 4 (2006) 353-366
31. Civalek O. Appl. Math. Model. 31 (2007) 606-624
32. Civalek O. Int. J. Struct. Eng. Mech. 25 1 (2007) 127-131
33. Civalek O. Int. J. Mech. Sci. 49 (2007) 752-765
34. Yang S.Y., Zhao Y.B., and Wei G.W. Comput. Phys. Commun. 143 (2002) 113-135
35. Civalek O. J. Comput. Appl. Math. 205 (2007) 251-271
36. Cheung Y.K., and Zhou D. J. Sound Vib. 260 4 (2003) 693-709
37. Zhou D. Int. J. Mech. Sci. 44 1 (2002) 149-164
38. Lim C.W., Liew K.M., and Kitipornchai S. Comput. Method Appl. Mech. Eng. 156 1-4 (1998) 15-29
39. Zhou D. Int. J. Solids Struct. 38 (2001) 5565-5580