Free transverse vibrations of an elastically connected rectangular simply supported double-plate complex system

Journal of Sound and Vibration

Volumn 236, Issue 4, 2000, Pages 595-608

  Oniszczuk, Z ^a  

^a RZESZOW UNIVERSITY OF TECHNOLOGY   (Poland)

Author keywords

[No Author keywords available]

Indexed keywords

NATURAL FREQUENCIES; NAVIER STOKES EQUATIONS; PARTIAL DIFFERENTIAL EQUATIONS; STRUCTURAL ANALYSIS; VIBRATIONS (MECHANICAL);

FREE TRANSVERSE VIBRATIONS; KIRCHHOFF-LOVE PLATE THEORY; WINKLER ELASTIC LAYER;

PLATES (STRUCTURAL COMPONENTS);

EID: 0034271563     PISSN: 0022460X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jsvi.2000.2995     Document Type: Article

References (64)

1. KALISKI S. Vibrations and Waves in Solids. 1966;IPPT PAN (in Polish), Warsaw.
2. LEISSA A. W. Vibration of plates. NASA SP-160. 1969.
3. LEISSA A. W. The free vibration of rectangular plates. Journal of Sound and Vibration. 31:1973;257-293.
4. NOWACKI W. Dynamics of Structures. 1972;Arkady (in Polish), Warsaw.
5. CRAIG R. R. JR. Structural Dynamics. 1981;John Wiley, New York.
6. JEMIELITA G. On the winding paths of the theory of plates (in Polish). Scientific Works of Warsaw University of Technology, Civil Engineering. 117:1991;1-220.
7. ONISZCZUK Z. Vibration Analysis of the Compound Continuous Systems with Elastic Constraints. 1997;Publishing House of Rzeszów University of Technology (in Polish), Rzeszów.
8. GORMAN D. J. Solutions of the Lévy type for the free vibration analysis of diagonally supported rectangular plates. Journal of Sound and Vibration. 68:1979;239-246.
9. LEVINSON M., COOKE D. W. Thick rectangular plates - II. The generalized Lévy solution. International Journal of Mechanical Sciences. 25:1983;207-215.
10. LEVINSON M., COOKE D. W. Thick rectangular plates - I. The generalized Navier solution. International Journal of Mechanical Sciences. 25:1983;199-205.
11. REDDY J. N., KHDEIR A. A. Buckling and vibration of laminated composite plates using various plate theories. American Institute of Aeronautics and Astronautics Journal. 6:1989;1861-1866.
12. BAPAT A. V., SURYANARAYAN S. Free vibrations of periodically point-supported rectangular plates. Journal of Sound and Vibration. 132:1989;491-509.
13. CHEN W. C., LIU W. H. Deflections and free vibrations of laminated plates, Lévy-type solutions. International Journal of Mechanical Sciences. 32:1990;779-793.
14. JAYARAMAN G., CHEN P., SNYDER V. W. Free vibrations of rectangular orthotropic plates with a pair of parallel edges simply supported. Computers and Structures. 34:1990;203-214.
15. HARIK I. E., LIU X., BALAKRISHNAN N. Analytic solution to free vibration of rectangular plates. Journal of Sound and Vibration. 153:1992;51-62.
16. LEE S. Y., LIN S. M. Free vibrations of elastically restrained non-uniform plates. Journal of Sound and Vibration. 158:1992;121-131.
17. BERGMAN L. A., HALL J. K., LUESCHEN G. G. G., MCFARLAND D. M. Dynamic Green's functions for Lévy plates. Journal of Sound and Vibration. 162:1993;281-310.
18. LEE S. Y., LIN S. M. Lévy-type solution for the analysis of nonuniform plates. Computers and Structures. 49:1993;931-939.
19. LEE U., LEE J. Spectral-element method for Lévy-type plates subject to dynamic loads. Journal of Engineering Mechanics. 125:1999;243-247.
20. KUNUKKASSERIL V. X., RADHAKRISHNAN S. Free vibrations of elastically connected multi-plate systems. Proceedings of the Conference of the Indian Society for Theoretical and Applied Mechanics. 1970;441-458.
21. ONISZCZUK Z. Free vibrations of elastically connected rectangular double-plate system. Proceedings of the XVth Symposium "Vibration in Physical Systems", Poznań 1992;126.
22. ONISZCZUK Z. Vibrations of elastically connected rectangular double-plate system (in Polish). Proceedings of the IXth Symposium on Dynamics of Structures, Rzeszów-Jawor 96. Scientific Works of Rzeszów University of Technology, Mechanics. 151:1996;117-124.
23. ONISZCZUK Z. Free vibrations of elastically connected rectangular double-plate complex system (in Polish). Scientific Works of Warsaw University of Technology. Civil Engineering. 132:1998;83-109.
24. KUKLA S. Application of Green's functions in free vibration analysis of plate systems. Zeitschrift für Angewandte Mathematik und Mechanik. 76:1996;279-280.
25. KUKLA S. Application of Green's function in free vibration analysis of a system of line connected rectangular plates. Journal of Sound and Vibration. 217:1998;1-13.
26. KUKLA S. Free vibration analysis of a system of elastically connected plates. Proceedings of the XVIIIth Symposium "Vibrations in Physical Systems". Poznań-Blażejewko. 1998;173-174.
27. KUKLA S. Free vibration problem of a system of elastically connected rectangular plates (in Polish). Proceedings of the XXXVIIth Symposium "Modelling in Mechanics", Gliwice, Scientific Works of Applied Mechanics Department of Silesian University of Technology. 7:1998;189-194.
28. KUKLA S. Free vibration of a system of two elastically connected rectangular plates. Journal of Sound and Vibration. 225:1999;29-39.
29. KUKLA S. Dynamic Green's Functions in Free Vibration Analysis of Continuous and Discrete-Continuous Mechanical Systems. 1999;Technical University of Czestochowa Publishers (in Polish), Cz ȩ
30. CHONAN S. Elastically connected Mindlin plates subjected to a moving load. Journal of Sound and Vibration. 63:1979;452-454.
31. CHONAN S. Moving load on initially stressed thick plates attached together by a flexible core. Ingenieur-Archiv. 48:1979;143-154.
32. SZCZEŚNIAK W. Vibrations of sandwich plate under moving loads (in Polish). Proceedings of the Vth Polish-Russian Seminar "Theoretical Foundations of Civil Engineering", Moscow. 1996;122-137.
33. SZCZEŚNIAK W. Vibration of elastic sandwich and elastically connected double-plate system under moving loads (in Polish). Scientific Works of Warsaw University of Technology, Civil Engineering. 132:1998;153-172.
34. SNOWDON J. C. Platelike dynamic vibration absorbers. Transactions of the American Society of Mechanical Engineers, Journal of Engineering for Industry. 97:1975;88-93.
35. AIDA T., KAWAZOE K., TODA S. Vibration control of plates by plate-type dynamic vibration absorbers. Transactions of the American Society of Mechanical Engineers. Journal of Vibration and Acoustics. 117:1995;332-338.
36. YU Y.-Y. Flexural vibrations of elastic sandwich plates. Journal of the Aerospace Sciences. 27:1960;272-282.
37. YU Y.-Y. Simplified vibration analysis of elastic sandwich plates. Journal of the Aerospace Sciences. 27:1960;894-900.
38. DUROCHER L. L., SOLECKI R. Harmonic vibrations of isotropic, elastic, and elastic/viscoelastic three-layered plates. Journal of the Acoustical Society of America. 60:1976;105-112.
39. LU Y. P., KILLIAN J. W., EVERSTINE G. C. Vibrations of three layered damped sandwich plate composites. Journal of Sound and Vibration. 64:1979;63-71.
40. LUESCHEN G. G. G., BERGMAN L. A. Green's function synthesis for sandwiched distributed parameter systems. Journal of Sound and Vibration. 191:1996;613-627.
41. FROSTIG Y., BARUCH M. Localized load effects in high-order bending of sandwich panels with flexible core. Journal of Engineering Mechanics. 122:1996;1069-1076.
42. KUNUKKASSERIL V. X., SWAMIDAS A. S. J. Normal modes of elastically connected circular plates. Journal of Sound and Vibration. 30:1973;99-108.
43. KUNUKKASSERIL V. X., SWAMIDAS A. S. J. Vibrations of continuous circular plates. International Journal of Solids and Structures. 10:1974;603-619.
44. KUNUKKASSERIL V. X., SWAMIDAS A. S. J. Stability of continuous double-plate systems. American Institute of Aeronautics and Astronautics Journal. 13:1975;1326-1332.
45. SWAMIDAS A. S. J., KUNUKKASSERIL V. X. Free vibration of elastically connected circular plate systems. Journal of Sound and Vibration. 39:1975;229-235.
46. SWAMIDAS A. S. J., KUNUKKASSERIL V. X. Vibration of circular double-plate systems. Journal of the Acoustical Society of America. 63:1978;1832-1840.
47. VENKATESAN S., KUNUKKASSERIL V. X. Free vibration of layered circular plates. Journal of Sound and Vibration. 60:1978;511-534.
48. KUNUKKASSERIL V. X., VENKATESAN S. Axisymmetric non-linear oscillations of isotropic layered circular plates. Journal of Sound and Vibration. 64:1979;295-302.
49. CHONAN S. The free vibration of elastically connected circular plate system with elastically restrained edges and radial tensions. Journal of Sound and Vibration. 49:1976;129-136.
50. CHONAN S. Resonance frequencies and mode shapes of elastically restrained, prestressed annular plates attached together by flexible cores. Journal of Sound and Vibration. 67:1979;487-500.
51. MOGHILEVSKIY M. I. Forced vibrations of elastically connected plate system (in Russian). Stroitelnaya Mekhanika i Rastchet Sooruzheniy. 6:1980;59-63.
52. ONISZCZUK Z. Free vibrations of elastically connected circular double-plate system (in Polish). Proceedings of the VIIIth Symposium on Dynamics of Structures, Rzeszów-Jawor 93, Scientific Works of Rzeszów University of Technology, Mechanics. 117:1993;329-336.
53. ONISZCZUK Z. Vibrations of elastically connected circular double-plate system (in Polish). Scientific Works of Rzeszów University of Technology, Mechanics. 126:1994;73-87.
54. ONISZCZUK Z. Free vibrations of an elastically connected rectangular double-membrane system (in Polish). Proceedings of the 3rd Ukrainian-Polish Seminar "Theoretical Foundations in Civil Engineering", Dnepropetrovsk, Warsaw. 1995;263-274.
55. ONISZCZUK Z. Free vibration of elastically connected circular double-membrane system. Proceedings of the XVIIth Symposium "Vibrations in Physical Systems", Poznań-Blażejewko. 1996;208-209.
56. ONISZCZUK Z. Vibrations of elastically connected circular double-membrane compound system (in Polish). Scientific Works of Warsaw University of Technology, Civil Engineering. 132:1998;61-81.
57. ONISZCZUK Z. Transverse vibrations of elastically connected rectangular double-membrane compound system. Proceedings of the XVIIIth Symposium "Vibrations in Physical Systems", oznań-Blażejewko. 1998;209-210.
58. ONISZCZUK Z. Transverse vibrations of elastically connected rectangular double-membrane system (in Polish). Proceedings of the 6th Polish-Ukrainian Seminar "Theoretical Foundations of Civil Engineering", Dnepropetrovsk, Warsaw. 1998;257-266.
59. ONISZCZUK Z. The dynamic vibration absorption in the compound continuous system of two solids by elastic constraints (in Polish). Proceedings of the VIIIth Polish Symposium "The Influence of Vibrations on Environment", Kraków-Janowice. 1998;269-274.
60. ONISZCZUK Z. Transverse vibrations of elastically connected rectangular double-membrane compound system. Journal of Sound and Vibration. 221:1999;235-250.
61. ONISZCZUK Z. Forced vibration analysis of elastically connected rectangular double-membrane complex system. Proceedings of the 4th International Scientific Colloquium CAx Techniques '99, Bielefeld. 1999;393-400.
62. ONISZCZUK Z. Transverse vibrations of elastically connected double-string complex system, Part I: free vibrations. Journal of Sound and Vibration. 232:2000;355-366.
63. ONISZCZUK Z. Transverse vibrations of elastically connected double-string complex system, Part II: forced vibrations. Journal of Sound and Vibration. 232:2000;367-386.
64. ONISZCZUK Z. Free transverse vibrations of elastically connected simply supported double-beam complex system. Journal of Sound and Vibration. 232:2000;387-403.