Stochastic finite element modeling and response analysis of rotor systems with random properties under random loads

Abstract

Random properties and random loads are highly important in rotor dynamic analysis because they cause system dynamic responses to behave randomly. In this paper, a stochastical finite element of rotating shaft based on Timosheko beam theory is proposed for rotor system modeling, in which material and geometric random properties are considered one-dimensional stochastic field functions. A random response analytical method is developed to determine the statistics of the dynamic responses of stochastical rotor systems under random loads. The numerically obtained whirl speed of a turbopump rotor system is compared with the test data to validate the proposed model, and good agreement is observed. Linear and nonlinear turbopump rotor systems are employed to compare the results obtained from the proposed model and the Monte Carlo simulation. The numerically predicted results, which coincide well with Monte Carlo simulation data, demonstrate the feasibility and efficiency of the proposed stochastic model and method for actual rotor system analysis and design.

A state-of-the-art review on uncertainty analysis of rotor systems

“…(3) External loads uncertainty. This category mainly corresponds to the variabilities in any external loads on rotor systems, such as the unsteady aerodynamic forces, axial loads [65][66][67][68] and external noise disturbances [47,[69][70][71][72].…”

A mixed-copula-based integral method for reliability analysis of a novel multi-functional rescue end-effector

“…In a short comment, to overcome the appeared difficulties of the aforementioned proposed methods, it is beneficial to adopt other auxiliary methods such as ADAMS and ANSYS in the reliability analysis. 27,28 To be sure, it will take more simulation time.…”

Research on the effect of structural and material parameters on vibrations based on quasi-static model of bearings

“…Experience has shown that 1000 Hz is generally regarded as a suitable limit for vibration and noise. The causes of vibration and noise are mainly divided into two categories: one is internal factors such as structural characteristics of the bearing itself, machining and assembly errors and running faults, and the other is induced by external excitation [10][11][12]. Without considering the influence of external factors, the bearing will still generate vibration [13] due to the structural characteristics of the bearing itself, i.e., varying compliance vibrations [14] caused by a limited number of loaded balls.…”