Large-amplitude free vibrations of uniform beams on Pasternak foundation

Journal of Sound and Vibration

Volumn 263, Issue 4, 2003, Pages 954-960

  Rao, G Venkateswara ^a  

^a INDIAN SPACE RESEARCH ORGANISATION   (India)

Author keywords

[No Author keywords available]

Indexed keywords

DIFFERENTIAL EQUATIONS; FINITE ELEMENT METHOD; NATURAL FREQUENCIES; PARAMETER ESTIMATION; STIFFNESS; VIBRATIONS (MECHANICAL);

CLAMPED BEAMS;

BEAMS AND GIRDERS;

EID: 0038659041     PISSN: 0022460X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0022-460X(02)01486-4     Document Type: Article

References (8)

1. S. Woinowsky-Krieger, The effect of an axial force on the vibration of hinged bars, American Society of Mechanical Engineers, Journal of Applied Mechanics 17 (1950) 35-36.
2. A.V. Srinivasan, Large amplitude free vibrations of beams and plates, American Institute of Aeronautics and Astronautics Journal 3 (1965) 1951-1953.
3. Chuh Mei, Nonlinear vibrations of beams by matrix displacement method, American Institute of Aeronautics and Astronautics Journal 10 (1972) 355-357.
4. G.V. Rao, K.K. Raju, I.S. Raju, Finite element formulation for the large amplitude free vibrations of beams and orthotropic circular plates, Computers and Structures 6 (1976) 169-172.
5. G. Singh, G.V. Rao, N.G.R. Iyengar, Reinvestigation of large amplitude free vibrations of beams using finite elements, Journal of Sound and Vibration 143 (1990) 351-355.
6. E. Winkler, Die Lehre von der Elastizität und Festigkeit, Domimicus, Prague, 1867.
7. F. Zhaohua, R.D. Cook, Beam elements on two parameter elastic foundations, American Society of Civil Engineers, Journal of Engineering Mechanics 109 (1983) 1390-1402.
8. P.L. Pasternak, On a new method of analysis on elastic foundation by means of two foundation constants, Gosunderstvennoe Izdatelsto Literaturi po Stoitelstvu Arkhitekture, Moscow, USSR, 1954 (in Russian).