A simple formula for evaluating the fundamental frequency parameter of initially stressed uniform beams on elastic foundation

Journal of Vibration and Acoustics, Transactions of the ASME

Volumn 124, Issue 3, 2002, Pages 451-464

  Venkateswara Rao, G ^a   Neetha, R ^a  

^a INDIAN SPACE RESEARCH ORGANISATION   (India)

Author keywords

[No Author keywords available]

Indexed keywords

BUCKLING; ELASTICITY; FINITE ELEMENT METHOD; STRESS ANALYSIS; VIBRATIONS (MECHANICAL);

STRESSED BEAMS;

BEAMS AND GIRDERS;

EID: 0036660547     PISSN: 10489002     EISSN: 15288927     Source Type: Journal    
DOI: 10.1115/1.1467651     Document Type: Article

References (15)

1. Hetenyi, M. 1961. Beams on Elastic Foundation, University of Michigan Press, Ann Arbor.
2. Timoshenko, S. P., and Gere, J. M., 1961, Theory of Elastic Stability, McGraw-Hill New York.
3. Zhaohua, F., and Cook, R D., 1983, –Beam Elements on Two Parameter Elastic Foundation.— J. Eng. Mech., 109(6), pp. 1390-1401.
4. Shastry, B. P. and Rao, G. V., 1986. –A Note on the Vibrations of a Short Cantilever Beam on Elastic Foundation.— J. Sound Vib., 111(1), pp. 176-178.
5. Eisenberger, M., and Clastomik, M. 1987a, –Vibration and Buckling of a Beam on a Variable Winkler Elastic Foundation,” J. Sound Vib., 115(2), pp. 233-241.
6. Eisenberger, M., and Clastomik, M., 1987b, –Beams on Variable Two Parameter Elastic Foundation,— J. Eng. Mech., 113(10), pp. 1454-1466.
7. Raju, K. K. and Rao, G. V, 1993, –Vibrations of Initially Stressed Beams and Plates Around Transition Values of Elastic Foundation Stiffness,— J. Sound Vib., 161(2), pp. 378-384.
8. Eisenberger, M., 1994. –Vibration Frequencies for Beam on Variable One and Two Parameter Elastic Foundation,— J. Sound Vib., 176(5), pp. 577-584.
9. Naidu, N. R. and Rao, G. V. 1995, –Vibrations of Initially Stressed Uniform Beams on a Two Parameter Elastic Foundation.— Comput. Struct., 57(6), pp. 941-943.
10. Amba Rao, C. L., 1967, –Effect of End Conditions on the Lateral Frequencies of Uniform Straight Columns,— J. Acoust. Soc. Am., 42(2), pp. 900-901.
11. Galef, A. E., 1968, –Bending Frequencies of Compressed Beams,— J. Acoust. Soc. Am., 44(8), pp. 643.
12. Bokain, A., 1988, –Natural Frequencies of Beams Under Compressive Axial Loads,— J. Sound Vib., 26(1), pp. 49-65.
13. Kamovsky, I. A., and Lebed, O. I., 2001, Formule for Structural Dynamics: Tables, Graphs and Solutions, McGraw Hill, Inc., pp. 299-304.
14. Gorman, D. J., 2000, –Free Vibration and Buckling of Inplane Loaded Plates with Rotational Edge Support.— J. Sound Vib., 229(2), pp. 755-773.
15. Leissa, A. W., 1969. Vibration of Plates, NASA SP-160.