Towards improved evaluation of large amplitude free-vibration behaviour of uniform beams using multi-term admissible functions

Journal of Sound and Vibration

Volumn 282, Issue 3-5, 2005, Pages 1238-1246

  Raju, K Kanaka ^a   Rao, G Venkateswara ^a  

^a INDIAN SPACE RESEARCH ORGANISATION   (India)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; CONTINUUM MECHANICS; DIFFERENTIATION (CALCULUS); FINITE ELEMENT METHOD; FUNCTIONS; INTEGRAL EQUATIONS; INTEGRATION; POLYNOMIALS; POTENTIAL ENERGY; PROBLEM SOLVING; STRAIN;

FREE-VIBRATION BEHAVIOR; SPACE TIME DISTRIBUTION; TRIGONOMETRIC FUNCTIONS; UNIFORM BEAMS;

VIBRATIONS (MECHANICAL);

EID: 14744283466     PISSN: 0022460X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jsv.2004.04.036     Document Type: Article

References (10)

1. S. Woinowsky-Krieger The effects of an axial force on the vibration of hinged bars Transactions of the American Society of Mechanical Engineers 72 1950 35 36
2. Chu Mei Finite element analysis of nonlinear vibrations of beam columns AIAA Journal 11 1973 115 117
3. G.V. Rao, K.K. Raju, and I.S. Raju Finite element formulation for the large amplitude free vibrations of slender beams and orthotropic circular plates Computers and Structures 6 1974 169 172
4. A.V. Srinivasan Large amplitude free oscillations of beams and plates AIAA Journal 3 1965 1951 1953
5. G. Singh, G.V. Rao, and 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. M. Sathyamoorthy, Nonlinear Analysis of Structures, CRC Mechanical Engineering Series, CRC Press, Boca Raton, 1998, pp. 26-38.
7. G.V. Rao, and K.K. Raju Large amplitude free vibrations of beams - an energy approach Zeitschrift für Angewandte Mathematik und Mechanik 83 2003 493 498
8. G.V. Rao, and K.K. Raju A direct numerical integration method to study the large amplitude vibration of slender beams with immovable ends Journal of the Institution of Engineers (India) 83 2002 42 44
9. G.V. Rao, and N.R. Naidu Prediction of fundamental frequencies of stressed spring-hinged tapered beams AIAA Journal 39 2001 186 188
10. G.V. Rao, and R. Neetha A simple formula for evaluating the fundamental frequency parameter of initially stressed uniform beams on elastic foundation Journal of Vibration and Acoustics 124 2002 451 454