Out-of-plane free vibration analysis of rotating tapered beams in post-elastic regime

Free vibration dynamic behaviour of rotating tapered beams in elastic and post-elastic regimes is presented in the paper. The entire analysis is carried out in two parts. First the analysis of the rotating beam under static centrifugal loading is performed and then it is followed by the dynamic analysis using the solution parameters of the static analysis. The governing equations are obtained by the application of suitable variational principles. The displacement fields are assumed using the linear combinations of admissible orthogonal functions which are generated numerically using Gram–Schmidt schemes. Elastic and post-elastic dynamic behaviour of rotating tapered beams are presented through suitable normalized parameters of the beam geometries and rotational speeds. The results would serve as benchmarks for both elastic and post-elastic dynamic problems of rotating tapered beams.