Abstract
Oil whip and resonance are the common faults of a rotor system. The faults directly affect its normal operation and can cause serious accidents. Based on the regularity of oil whip and resonance of the rotor system, a sensitivity study of the frequency reliability of the system is conducted. The technique developed utilizes random perturbation technology, reliability theory, and sensitivity technology. The reliability mode and the failure probability of the rotor systems are defined. The second-order joint failure probability is obtained using numerical integration methods. The variation regularities of the reliability are obtained and the influences of random parameters on the reliability of the rotor system are studied. The method presented provides a theoretical basis for the frequency reliability sensitivity design of the rotor system. A numerical example is analyzed to show the effectiveness of the proposed method.
Highlights
With the development of finite element technology and simulation techniques, reliability design is playing an increasingly important role in modern product design
The reliability sensitivity estimation method of the rotor system is presented considering the correlation of the failure mode
Comparison results indicate that correlation of the failure mode has less effect on the reliability sensitivity of the mean of the random parameters
Summary
With the development of finite element technology and simulation techniques, reliability design is playing an increasingly important role in modern product design. Examples include Latin hypercube sampling,[9,10] importance sampling,[11,12,13,14,15] line sampling,[16,17,18] and subset simulation.[19] In addition, other reliability sensitivity estimation methods based on most probable point system simulation,[20] stochastic response surfaces’ method,[21] and saddle-point approximation[22] have been developed. The reliability sensitivity estimation method of the rotor system is presented considering the correlation of the failure mode. The state function of oil whip is defined as g1 = 2v1 À V ð6Þ where v1 and V are the first critical speed and excitation frequency of the rotor system, respectively. According to the relationship of the first critical speed v1 and excited frequency V, the failure state of the rotor system is represented as g1 =. The failure probability of the rotor system with resonance is
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