A novel scheme for the discrete prediction of high-frequency vibration response: Discrete singular convolution-mode superposition approach

Journal of Sound and Vibration

Volumn 320, Issue 4-5, 2009, Pages 1004-1022

  Seçgin, Abdullah ^a   Saide Sarigul A ^a  

^a DOKUZ EYLUL UNIVERSITY   (Turkey)

Author keywords

[No Author keywords available]

Indexed keywords

CONVOLUTION; DIFFERENTIAL SCANNING CALORIMETRY; FREQUENCY BANDS; SPECTRUM ANALYSIS;

ANALYTICAL SOLUTIONS; DESIGN APPLICATIONS; DIFFERENT BOUNDARY CONDITIONS; DISCRETE FREQUENCIES; DISCRETE SINGULAR CONVOLUTIONS; FORCED VIBRATIONS; FREQUENCY SPECTRUMS; HIGH FREQUENCIES; HIGH-FREQUENCY RESPONSE; HIGH-FREQUENCY VIBRATIONS; MODE SUPERPOSITIONS; NATURAL MODES; SPATIAL DISTRIBUTIONS; THIN BEAMS; THIN PLATES; TIME HARMONICS; VIBRATION RESPONSE;

FREQUENCY RESPONSE;

EID: 59049089891     PISSN: 0022460X     EISSN: 10958568     Source Type: Journal    
DOI: 10.1016/j.jsv.2008.08.031     Document Type: Article

References (42)

1. Rabbiolo G., Bernhard R.J., and Milner F.A. Definition of a high-frequency threshold for plates and acoustical spaces. Journal of Sound and Vibration 277 (2004) 647-667
2. Lyon R.H., and DeJong R.G. Theory and Application of Statistical Energy Analysis (1995), Butterworth-Heinemann, USA
3. F. Bitsie, The Structural-Acoustic Energy Finite Element Method and Energy Boundary Element Method, PhD Thesis, Purdue University Graduate School, 1996.
4. Han F., Bernhard R.J., and Mongeau L.G. Energy flow analysis of vibrating beams and plates for discrete random excitations. Journal of Sound and Vibration 208 5 (1997) 841-859
5. Han F., Bernhard R.J., and Mongeau L.G. Prediction of flow-induced structural vibration and sound radiation using energy flow analysis. Journal of Sound and Vibration 227 4 (1999) 685-709
6. S. Wang, High Frequency Energy Flow Analysis Methods: Numerical Implementation, Applications and Verification, PhD Thesis, Purdue University Graduate School, 2000.
7. Langley R.S. A wave intensity technique for the analysis of high frequency vibrations. Journal of Sound and Vibration 159 3 (1992) 483-502
8. Smith M.J. A hybrid energy method for predicting high frequency vibrational response of point-loaded plates. Journal of Sound and Vibration 202 3 (1997) 375-394
9. Carcaterra A., and Sestieri A. Complex envelope displacement analysis: a quasi-static approach to vibrations. Journal of Sound and Vibration 201 2 (1997) 205-233
10. LeBot A. A vibro-acoustic model for high frequency analysis. Journal of Sound and Vibration 211 4 (1998) 537-554
11. Chae K.S., and Ih J.G. Prediction of vibrational energy distribution in the thin plate at high-frequency bands by using the ray tracing method. Journal of Sound and Vibration 240 2 (2001) 263-292
12. Wei G.W. Discrete singular convolution for the solution of Fokker-Plank equation. Journal of Chemical Physics 110 18 (1999) 8930-8942
13. Wei G.W. Discrete singular convolution for the sine-Gordon equation. Physica D 137 (2000) 247-259
14. Wei G.W. Wavelets generated by using discrete singular convolution. Journal of Physics A 33 (2000) 8577-8596
15. Wei G.W. Solving quantum eigenvalue problems by discrete singular convolution. Journal of Physics B 33 (2000) 343-352
16. Wei G.W. Discrete singular convolution for beam analysis. Engineering Structures 23 (2001) 1045-1053
17. Wei G.W. Vibration analysis by using discrete singular convolution. Journal of Sound and Vibration 244 3 (2001) 535-553
18. Wei G.W. A new algorithm for solving some mechanical problems. Computational Methods in Applied Mechanics and Engineering 190 (2001) 2017-2030
19. Wei G.W., Zhao Y.B., and Xiang Y. The determination of natural frequencies of rectangular plates with mixed boundary conditions by discrete singular convolution. International Journal of Mechanical Sciences 43 (2001) 1731-1746
20. Wei G.W., Zhao Y.B., and Xiang Y. Discrete singular convolution and its application to the analysis of plates with internal supports. Part 1: theory and algorithm. International Journal for Numerical Methods in Engineering 55 (2002) 913-946
21. Xiang Y., Zhao Y.B., and Wei G.W. Discrete singular convolution and its application to the analysis of plates with internal supports. Part 2: applications. International Journal for Numerical Methods in Engineering 55 (2002) 947-971
22. Zhao Y.B., Wei G.W., and Xiang Y. Plate vibrations under irregular internal supports. International Journal of Solids and Structures 39 (2002) 1361-1383
23. Zhao Y.B., and Wei G.W. DSC analysis of rectangular plates with non-uniform boundary conditions. Journal of Sound and Vibration 255 2 (2002) 203-228
24. Zhao S., Wei G.W., and Xiang Y. DSC analysis of free-edged beams by an iteratively matched boundary method. Journal of Sound and Vibration 284 (2005) 487-493
25. Hou Y., Wei G.W., and Xiang Y. DSC-Ritz method for the free vibration analysis of Mindlin plates. International Journal for Numerical Methods in Engineering 62 (2005) 262-288
26. Civalek O. Numerical analysis of free vibrations of laminated composite conical and cylindrical shells: Discrete singular convolution (DSC) approach. Journal of Computational and Applied Mathematics 205 (2007) 251-271
27. Civalek O. Free vibration and buckling analyses of composite plates with straight-sided quadrilateral domain based on DSC approach. Finite Elements in Analysis and Design 43 13 (2007) 1013-1022
28. Civalek O. A parametric study of the free vibration analysis of rotating laminated cylindrical shells using the method of discrete singular convolution. Thin Walled Structures 45 7-8 (2007) 692-698
29. A. Seçgin, C. Atas, A.S. Sari{dotless}gül, Investigation of the effects of material and fiber orientation angles on the modal characteristics of thin FML composite plates by using discrete singular convolution (DSC) approach, Fourth Ankara International Aerospace Conference, Article No: AIAC-2007-045, Ankara, Turkey, 2007.
30. Seçgin A., and Sari{dotless}gül A.S. Free vibration analysis of symmetrically laminated thin composite plates by using discrete singular convolution (DSC) approach: algorithm and verification. Journal of Sound and Vibration 315 1-2 (2008) 197-211
31. Wei G.W., Zhao Y.B., and Xiang Y. A novel approach for the analysis of high-frequency vibrations. Journal of Sound and Vibration 257 2 (2002) 207-246
32. Zhao Y.B., Wei G.W., and Xiang Y. Discrete singular convolution for the prediction of high frequency vibration of plates. International Journal of Solids and Structures 39 (2002) 65-88
33. Lim C.W., Li Z.R., and Wei G.W. DSC-Ritz method for high-mode frequency analysis of thick shallow shells. International Journal for Numerical Methods in Engineering 62 (2005) 205-232
34. Ng C.H.W., Zhao Y.B., and Wei G.W. Comparison of discrete singular convolution and generalized differential quadrature for the vibration analysis of rectangular plates. Computer Methods in Applied Mechanics and Engineering 193 (2004) 2483-2506
35. Timoshenko S., Young D., and Weaver W. Vibration Problems in Engineering (1971), Wiley, New York
36. Fredö C.R. A SEA-like approach for the derivation of energy flow coefficients with a finite element model. Journal of Sound and Vibration 199 4 (1997) 645-666
37. Coppolino R.N. Finite element models. In: Harris C.M., and Piersoll A. (Eds). Shock and Vibration Handbook (2002), McGraw-Hill, Newyork Part II (Chapter 28)
38. Fahy F.J., and Mohammed A.D. A study of uncertainty in applications of SEA to coupled beam and plate systems, part I: computational experiments. Journal of Sound and Vibration 158 1 (1992) 45-67
39. L.W. Qian, G.W. Wei, A note on regularized Shannon's sampling formulae, Preprint, arXiv:math. 2000, SC/0005003.
40. Stokey W.F. Vibration of systems having distributed mass and elasticity. In: Harris C.M., and Piersoll A. (Eds). Shock and Vibration Handbook (2002), McGraw-Hill, New York (Chapter 7)
41. Leissa A.W. Vibration of Plates (1969), NASA, Washington, DC
42. Cremer L., Heckl M., and Ungar E.E. Structure-borne Sound (1988), Springer, Berlin