Natural frequencies and mode shapes of thin-walled members with shell type cross section

다국어 초록 (Multilingual Abstract)

An analytical procedure based on the transfer matrix method to estimate not only the natural

frequencies but also vibration mode shapes of the thin-walled members composed of interconnected

cylindrical shell panels is presented. The transfer matrix is derived from the differential equations for the

cylindrical shell panels. The point matrix relating the state vectors between consecutive shell panels are used

to allow the transfer procedures over the cross section of the members. As a result, the interactions between

the shell panels of the cross sections of the members can be considered. Although the transfer matrix method

is naturally a solution procedure for the one-dimensional problems, this method is well applied to thin-walled

members by introducing the trigonometric series into the governing equations of the problem. The natural

frequencies and vibration mode shapes of the thin-walled members composed of number of interconnected

cylindrical shell panels are observed in this analysis. In addition, the effects of the number of shell panels on

the natural frequencies and vibration mode shapes are also examined.