| Citation: | HONG Jie, YANG Zhefu, LYU Chunguang, et al. Robust design method for dynamic properties of high-speed flexible rotor systems[J]. Journal of Beijing University of Aeronautics and Astronautics, 2019, 45(5): 855-862. doi: 10.13700/j.bh.1001-5965.2018.0492(in Chinese)
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In order to control the deformation of rotor and distribution of multiple critical speeds, it is common to adopt multi-support configuration, which indicates that the optimization is a multi-objective, multi-variable and non-deterministic problem, taking into account parameter uncertainties. An equation of motion for flexible rotor is derived with the aid of Lagrange equation. Penalty functions are introduced to quantitatively describe the distribution feature of multi-order critical speeds. A robust design method for dynamic properties of rotor is presented based on the optimization of critical speed distribution and stiffness loss control of joint structure with the combination of interval analysis method and genetic algorithm. A numerical example shows that by concentrating the multi-order critical speeds into a certain speed interval and controlling the bending strain energy proportion of joint structure, the vibration response passing through multi-order critical speeds and sensitivity of rotor dynamic properties to the change of joint structure stiffness loss are both reduced, thus improving the robustness of this type of rotor system.
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