期刊
INTERNATIONAL JOURNAL OF STRUCTURAL STABILITY AND DYNAMICS
卷 14, 期 1, 页码 -出版社
WORLD SCIENTIFIC PUBL CO PTE LTD
DOI: 10.1142/S0219455413500478
关键词
Composite beams; partial interaction; natural frequency; axial loading
资金
- European Union
The vibrations of axially loaded composite beams with partial interaction are considered. The equations of motion and the pertaining boundary conditions are derived from Hamilton's principle. Mainly free - but also forced - vibrations are considered. The natural frequencies are calculated as a function of the axial force and the stiffness of the interaction between the layers. The analytical result obtained for the eigenfrequencies of the simply supported beam is taken as a starting point for an approximation of the eigenfrequencies of beams subject to other boundary conditions. The proposed approximation - which has no numerical fitting parameters - is shown to be in good agreement with the exact solutions, especially for the case of a beam clamped at both ends.
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