Vibration of axially loaded and partially interacting composite beams
2014 (English)In: International Journal of Structural Stability and Dynamics, ISSN 0219-4554, Vol. 14, no 1, 1350047- p.Article in journal (Refereed) Published
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.
Place, publisher, year, edition, pages
Singapore: World Scientific, 2014. Vol. 14, no 1, 1350047- p.
Composite beams, partial interaction, natural frequency, axial loading
IdentifiersURN: urn:nbn:se:umu:diva-79579DOI: 10.1142/S0219455413500478ISI: 000328902600002OAI: oai:DiVA.org:umu-79579DiVA: diva2:643088
FunderEU, European Research Council