Identification Method Research of the Compressed Beam Elastic Buckling Load

Abstract:

From the basic equations of dynamics, the precise expression of the relationship ,which was between the horizontal natural frequency and pressure load of the simply supported beam and the beam fixed at both ends with vertical pressures, was obtained. The approximate expression of the relationship, which was between the horizontal natural frequency and pressure load of the beam fixed at both ends with vertical pressures, derived from the variational methods. By comparing the precise numerical solution and the approximate solution of the beam fixed at both ends with vertical pressures, the conclusion of approximate linear relationship that was between the square of the natural frequency and axial force of the beam fixed at both ends with vertical pressures was got. Through theoretical and experimental comparing, the difference between the approximate solution and the accurate numerical solution was small, which could meet the requirements of accuracy on engineering. On this basis, as long as the natural frequencies of the structure at two load conditions are measured by experimental methods, elastic buckling load of the compressed beam can be identified.

• Periodical: Applied Mechanics and Materials (Volumes 166-169)
• Pages: 1076-1082
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.166-169.1076
• Online since: May 2012
• Authors: Ling Du, Fan Chun Li
• Keywords: Compressed Beam, Elastic Buckling, Load Identification, Natural Frequency, Variation

References

[1] SINGER J .Recent Studies on the Correlation Between Vibration and Buckling of Stiffened Cylindrical Shells[J] . Flight Science and Space Research,1979，3(6):333-343．

[2] SINGER J, PRUCZ J. Influence of Initial Geometrical Imperfect ions on Vibrations of Axially Compressed Stiffened Cylindrical Shell[J].Journal of Sound and Vibration, 1982,（80)1:117-143.

DOI: 10.1016/0022-460x(82)90396-0

[3] Auciello N M, Ercolano A.A general solution for dynamic response of axially loaded non-uniform Timoshenko beams[J]. International Journal of Solids and structures, 2004, 4l：4861-4874．

DOI: 10.1016/j.ijsolstr.2004.04.036

[4] Öz H R, Özkaya E.NATURAL FREQUENCIES OF BEAM-MASS SYSTEMS IN TRANSVERSE MOTION FOR DIFFERENT END CONDITIONS[J]. Mathematical and Computational Applications, 2005.Vol. 10, No. 3, pp.369-376．

DOI: 10.3390/mca10030369