Aiming at the vibration problem of rotating pre-twisted beams in engineering, an effective modeling method is proposed to study their vibration characteristics. Rotating experiments are designed to verify the accuracy of theoretical research. By adjusting the boundary spring stiffness, different boundary conditions are simulated. The displacement field is expanded using the modified Fourier series method, and the motion equation of the rotating beam is derived using the Rayleigh-Litz method. Based on the theoretical research, vibration tests of rotating straight beams and pre-twisted beams with different sizes are designed. The accuracy of this method is verified by comparing the theoretical calculations with finite element simulations and experimental results. The possibility of elastic boundaries is also verified through error analysis. The results show that the natural frequency of the beam increases with the increase in rotating speed and thickness. The increase in pre-twist angle has a minimal effect on the first-order natural frequency but significantly reduces the second-order natural frequency.
| 科 Family | 属数 Number of genus | 种数 Number of species | 占总种数比例 Percentage of total species (%) | 属 Genus | 种数 Number of species | 占总种数比例 Percentage of total species (%) |
|---|---|---|---|---|---|---|
| 鹅膏菌科Amanitaceae | 2 | 11 | 5.26 | 鹅膏菌属 Amanita | 10 | 4.78 |
| 小菇科 Mycenaceae | 2 | 12 | 5.74 | 丝盖伞属 Inocybe | 5 | 2.39 |
| 多孔菌科 Polyporaceae | 8 | 14 | 6.70 | 蜡蘑属 Laccaria | 5 | 2.39 |
| 红菇科 Russulaceae | 3 | 23 | 11.00 | 小皮伞属 Marasmius | 6 | 2.87 |
| 小菇属 Mycena | 11 | 5.26 | ||||
| 光柄菇属 Pluteus | 5 | 2.39 | ||||
| 红菇属 Russula | 17 | 8.13 | ||||
| 栓菌属 Trametes | 5 | 2.39 |