Free Vibrations of Cylindrical Shells with Non-Axisymmetric Mass Distribution on Elastic Bed

Meccanica

Volumn 32, Issue 1, 1997, Pages 71-84

  Amabili, Marco ^a   Dalpiaz, Giorgio ^b  

^a UNIVERSITÀ POLITECNICA DELLE MARCHE   (Italy)

^b UNIVERSITY OF BOLOGNA   (Italy)

Author keywords

Computational techniques; Shells; Structural elements on foundations; Vibrations

Indexed keywords

BOUNDARY CONDITIONS; ELASTICITY; FINITE ELEMENT METHOD; FOURIER TRANSFORMS; LOADS (FORCES); NATURAL FREQUENCIES; NUMERICAL METHODS; SHELLS (STRUCTURES); STIFFNESS; STRUCTURAL ANALYSIS;

CIRCULAR CYLINDRICAL SHELLS; ELASTIC BED; FLEXURAL MODE SHAPES; GALERKIN EQUATION; MASS DISTRIBUTION; RAYLEIGH QUOTIENT STATIONARY;

VIBRATIONS (MECHANICAL);

EID: 0031073287     PISSN: 00256455     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1004219803239     Document Type: Article

References (12)

1. Rayleigh, Lord J.W.S., 'On the infinitesimal bending of surface of revolution', Proceedings of London Mathematical Society, 13 (1881) 4-16.
2. Love, A.E.H., 'On the small free vibrations and deformation of a thin elastic shell', Phil. Trans. of the Royal Society of London, Series A, 179 (1888) 491-546.
3. Flügge, W., 'Schwingungen zylindrischer schalen', Zeitschrift für Angewandte Mathematik und Mechanik, 13 (1933) 425-427.
4. Arnold, R.N., and Warburton, G.B., 'Flexural vibrations of the walls of thin cylindrical shells having freely supported ends', Proceedings of the Royal Society of London, Series A, 197 (1949) 238-256.
5. Forsberg, K., 'Influence of boundary conditions on the modal characteristics of thin cylindrical shells', AIAA Journal, 2 (1964) 2150-2157.
6. Leissa, A.W., Vibrations of Shells, NASA SP-288, U.S. Government Printing Office, Washington, D.C., 1973.
7. Darevskii, V.M., and Sharinov, I.L., 'Free oscillations of a cylindrical shell with concentrated mass', Transactions of 6th All-Union Conference on the Theory of Shells and Plates, Baku, Azerbaidzhan, Sept. 15-20 1966, pp. 350-354. (In Russian)
8. Soedel, W., Vibrations of Shells and Plates (2nd edition), Marcel Dekker, New York, 1993.
9. Amabili, M., 'The receptance method applied to the free vibration of a circular cylindrical shell filled with fluid and with attached masses', Proceedings of CMEM '95, Capri, Italy, May 16-18, 1995, pp. 461-468.
10. Amabili, M., 'Free vibration of a fluid-filled circular cylindrical shell with lumped masses attached, using the receptance method', Shock and Vibration, 3 (1996) 159-167.
11. Meirovitch, L., Elements of Vibration Analysis, McGraw-Hill, New York, 1986, pp. 270-282.
12. ANSYS User Manual, Rev. 5.0a, Swanson, Houston, PA, 1993.