3-D theory versus 2-D approximate theory of free orthotropic (isotropic) plate and shell vibrations, part 1: Derivation of governing equations

Journal of Sound and Vibration

Volumn 226, Issue 5, 1999, Pages 807-829

  Awrejcewicz, J ^a   Krysko, V A ^b  

^a LODZ UNIVERSITY OF TECHNOLOGY   (Poland)

^b SARATOV STATE TECHNICAL UNIVERSITY   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0010601764     PISSN: 0022460X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jsvi.1999.2321     Document Type: Article

References (23)

1. N. N. SUSLOVA 1980 Miekhanika Dieformirovoga Tverdovo Tela 13, 187-296. Methods of three-dimensional problem for a body of parallelepiped (in Russian).
2. O. G. MCGEE and A. W. LEISSA 1991 Journal of Sound and Vibration 144, 305-322. Three-dimensional free vibrations of thick skewed cantilevered plates.
3. A. W. LEISSA and Z. D. ZHANG 1983 Journal of the Acoustical Society of America 73, 2013-2021. On the three-dimensional vibrations of the cantilevered rectangular parallelepiped.
4. A. W. LEISSA and K. I. JACOB 1986 Journal of Applied Mechanics 53, 614-618. Three-dimensional vibrations of twisted cantilevered parallelepipeds.
5. V. G. PALAMARCHUK 1980 Prikladnaja Miekhanika 16, 45-49. Free vibrations of a ribbed cylindrical shell with a beam (in Russian).
6. A. S. CHRISTIENKO 1972 Izvestia AN SSSR. Miekhanika Tvierdovo Tiela 4, 116-122. Vibrations of cylindrical shells loaded by distributed and concentrated masses (in Russian).
7. C. L. AMBA-RAO 1964 Transactions of ASME E31 3, 550-551. On the vibration of rectangular plate carrying a concentrated mass.
8. P. A. A. LAURA and G. A. SMITH 1968 Journal of the Acoustical Society of America 43, 332-335. Vibration of ribstiffened thin elastic plates carrying concentrated masses.
9. E. B. MAGRAB 1968 Transactions of ASME 35 2, 411-412. Vibrations of a rectangular plate carrying a concentrated mass.
10. A. H. SHAN and S. K. DATTA 1969 Transactions of ASME E36 1, 130-132. Normal vibration of a rectangular plate with attached masses.
11. T. H. LEE 1996 Applied Mechanics Transactions of ASME 33 4, 938-939. Vibrations of shallow spherical shells with concentrated mass.
12. S. F. BARSI and K. KAHYAI 1974 International Journal of Non-linear Mechanics 9, 451-462. Steady-state motion of a plate with a discontinuous mass.
13. R. CHEN 1970 Transactions ASME E37 3, 874-875. Vibration of cylindrical panels carrying a concentrated mass.
14. Y. C. NAVRATNA D. R. 1963 Transactions ASME E30 1, 31-36. Vibration of a rectangular plate with a concentrated mass, spring and dashpot.
15. N. GAJENDER 1965 Journal of Sciences and Engineering Research 9, 303-313. Vibration of a circular plate with a concentrated mass, spring system.
16. P. A. A. LAURA and R. H. GUTIERREZ 1981 Journal of Sound and Vibration 75, 135-143. Transverse vibration of thin elastic plates with concentrated masses and internal elastic supports.
17. A. N. CHOMCHENKO and A. S. CHRISTIENKO 1972 Prikladnaja Miekhanika tvierdovo tiela 8, 22-26. On a problem of plates with concentrated mass vibrations (in Russian).
18. A. I. LICHODIED and A. A. MALININ 1972 Izviestia AN SSSR. Miekhanika tvierdovo tiela 2, 167-170. Free vibrations of shape changeable homogeneous shells and with the concentrated masses (in Russian).
19. A. I. LICHODIED and A. A. MALININ 1973 Prikladnaja Miekhanika 9, 25-31. On approximate formulas for vibration frequencies of smooth and with the concentrated additives shells (in Russian).
20. J. AWREJCEWICZ, I. V. ANDRIANOV and L. I. MANEVICH 1998 Asymptotic Approach in Non-Linear Dynamics, New Trends and Applications. Berlin: Springer Verlag.
21. A. S. VOLMIR 1967 Stability of Elastic Systems. Moscow: Nauka (in Russian).
22. V. V. NOVOZHILOV 1953 Theory of Elasticity. Leningard: Sudpromgiz (in Russian).
23. V. Z. VLASOV 1949 General Theory of Shells and Its Application in Technique. Moscow: Gostechizdat (in Russian).