Natural frequencies and mode shapes of thin-walled members under in-plane forces

摘要

In this paper, an analytical procedure to estimate not only the natural frequencies but also vibration mode shapes of the thin-walled members under in-plane forces, by the transfer matrix method, is presented. The transfer matrix is derived from the differential equations for the vibration problems of the plates under in-plane forces. Therefore, the interactions between the panels of the cross section can be considered exactly. The natural frequencies and mode shapes of the box and I-section members under axial forces and bending moments are presented for various aspect ratios of the members and the effects of in-plane forces to the natural frequencies and mode shapes of the members are examined.