School of Mechanical and Transportation Engineering;
China University of Petroleum;
Beijing 102249;
China;
State Key Laboratory of Structural Analysis for Industrial Equipment;
Dalian University of Technology;
Dalian 116024;
China;
State Key Laboratory of Hydraulic Engineering Simulation and Safety;
Tianjin University;
Tianjin 300072;
China;
CIMC Offshore Co.Ltd;
Shenzhen 518000;
China;
tapered Rayleigh beam; flapwise bending vibration; variational iteration; natural frequencies; convergence;