Abstract
The dynamic characteristics of a rotating cantilever Timoshenko beam under dead load are investigated in this paper. Considering the predeformation caused by dead load and centrifugal force, governing equation of rotating cantilever Timoshenko beam is derived based on Hamilton’s principle, and the influence of the load on natural vibration is revealed. A suit of modal experimental apparatus for cantilever beam is designed and used to test the natural frequencies under the dead load, and the natural frequencies under rotation condition are calculated with a commercial finite element code. Both the experimental result and numerical result are utilized to compare with the present theoretical result, and the results obtained by present modeling method show a good agreement with those obtained from the experiment and finite element method. It is found that the natural frequencies of cantilever beam increase with both the dead load and the rotating speed.
Highlights
Turbine blades serve in complex environment since both high-pressure gas and high-speed rotation act on it during operating
Turbine blade can be idealized as rotating beams, and its dynamic analysis is of great importance to design such structures properly
The first four natural frequencies of rotating Timoshenko beams without dead loads are calculated through the commercial analysis software Nastran, in which the beam is meshed into 100 beam elements here
Summary
Turbine blades serve in complex environment since both high-pressure gas and high-speed rotation act on it during operating. Based on the previous work, Banerjee et al [6] used the dynamic stiffness method to investigate the free bending vibration of rotating tapered beams. Takabatake [10] examined the effect of dead load on the natural frequencies of supported or fixed beam based on the previous work through Galerkin method. Zhang and Ren [11] solved the influence of dead load on beams through a dynamic stiffness-based method. For complex structures, such as a cable-stayed bridge, finite element method is proposed on the basis of Takabatake’s work to solve similar problems.
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