Research Article

Free Vibration Analysis of a Rotating Composite Shaft Using the 𝑝 -Version of the Finite Element Method

Table 5

The critical speed (rpm) of the graphite-epoxy composite shaft for various lamination angles.

Theory or methodLamination angle ( )
0153045607590

Sanders shell 5527 4365 3308 2386 2120 2020 1997
Bert and Kim [22] Bernoulli-Euler6425 5393 4269 3171 2292 1885 1813
Bresse-Timoshenko60725209 4197 3143 2278 1874 1803

M.-Y. Chang et al. [6]Continuum-based Timoshenko 60725331 4206 3124 2284 1890 1816
beam theory

Timoshenko beam theory by the 6094535942223129228418901816
Present -version of the finite element
method