Interval analysis of rotor dynamic response with uncertain parameters

Ma, Yuan; Liang, Zhichao; Chen, Meng; Jiang, Hong

doi:10.1016/j.jsv.2013.03.001

Cited by 56 publications

(27 citation statements)

References 5 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…As stated previously, we consider that the rotor system under study subject to uncertainties and then the parameters such as the support stiffness and density are all uncertain [24]. No sufficient data is available to define their probabilistic distributions.…”

Section: Interval Analysis Of the Uncertain Rotor Responsementioning

confidence: 99%

“…So far, few researches can be found using interval methods for uncertain rotor problems. Ma et al [24][25][26][27] studied the variations of the critical speeds, dynamic responses and modes in uncertain rotor systems using combination of perturbation method, the interval modal superposition method and interval Taylor expansion method. Fang et al [28] applied the interval method to a simple rotor model for modal characteristic investigations.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Non-probabilistic analysis of a double-disk rotor system with uncertain parameters

Ren

Yang

2018

J. vibroeng.

View full text Add to dashboard Cite

Vibration is a major issue in rotor systems. Due to the presence of material property dispersions, manufacture or assembling errors and time-varying working status, rotor systems are always subject to uncertainties. The uncertainties should be taken into consideration to understand the dynamic characteristics of rotors more thoroughly. In this study, interval analysis is carried out to investigate the non-probabilistic characteristics of a double-disk rotor with uncertain parameters. The uncertainties are modeled as uncertain-but-bounded variables due to insufficient essential information to define their precise probabilistic distributions. The deterministic analysis model is derived by the finite element method (FEM). The accuracy and effectiveness of the proposed method in solving uncertain rotor problems are validated by comparative study with the Monte Carlo simulation (MCS). Several cases where different physical parameters are regarded as uncertain are investigated and the dynamic response bounds are obtained. Simulations suggest that uncertainties have significant influence on the dynamic characteristics of the rotor system. Multi-source uncertainties propagation can cause heavy vibrations in mechanical systems.

show abstract

Section: Interval Analysis Of the Uncertain Rotor Responsementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Non-probabilistic analysis of a double-disk rotor system with uncertain parameters

Ren

Yang

2018

J. vibroeng.

View full text Add to dashboard Cite

show abstract

“…(21), the stability of periodic solution of Eq. (1) is then transformed into the following interval eigenvalue problem…”

Section: Uncertain Stability Analysis By Calculating the Interval Eigmentioning

confidence: 99%

“…According to the perturbation theory and interval expansion, the nominal eigenvectors φ C j , ψ C j and eigenvalues λ C j related to A C and B C are then used to calculate the interval eigenvalue λ I j as follows [21]:…”

Section: Uncertain Stability Analysis By Calculating the Interval Eigmentioning

confidence: 99%

Optimization analysis of Duffing oscillator with fractional derivatives

Liao

2014

Nonlinear Dyn

View full text Add to dashboard Cite

The improved version of the constrained optimization harmonic balance method is presented to solve the Duffing oscillator with two kinds of fractional order derivative terms. The analytical gradients of the objective function and nonlinear quality constraints with respect to optimization variables are formulated and the sensitivity information of the Fourier coefficients can also obtained. A new stability analysis method based on the analytical formulation of the nonlinear equality constraints is presented for the nonlinear system with fractional order derivatives. Furthermore, the robust stability boundary of periodic solution can be determined by the interval eigenvalue problem. In addition, the sensitivity information mixed with the interval analysis method is used to quantify the response bounds of periodic solution. Numerical examples show that the proposed approach is valid and effective for analyzing fractional derivative nonlinear system in the presence of uncertainties. It is illustrated that the bifurcation solution in the fractional nonlinear systems may not be sensitive to the variation of the influence parameters.

show abstract

“…This method is a non-intrusive method and can be dealt with nonlinear dynamic systems and parameters with large uncertain levels. With combination of the interval mathematics and the modal superposition method, Ma et al [26] analyzed interval dynamic traits of the rotor machinery system. Muscolino and Sofi [27,28] proposed an improved interval analysis method to determine the fluctuating regions of truss structures with random and interval parameters.…”

Section: Introductionmentioning

confidence: 99%

Dynamic Response Analysis of Wind Turbine Planetary Gear System With Interval Stiffness Parameters

Wei

Han

Feng

et al. 2014

Volume 6: 10th International Conference on Multibody Systems, Nonlinear Dynamics, and Control

View full text Add to dashboard Cite

Planetary gear transmission system is one of the primary parts of the wind turbine drive train. Due to the assembly state, lubrication conditions and wear, the mesh stiffness of the planetary gear system is an uncertain parameter. In this paper, taking the uncertainty of mesh stiffness into account, the dynamic responses of a wind turbine gear system subjected to wind loads and transmission error excitations are studied. Firstly, a lumped-parameter model is extended to include both the planetary and parallel gears. Then the fluctuation ranges of dynamic mesh forces are predicted quantitatively and intuitively based on the combined Chebyshev interval inclusion function and numerical integration method. Finally, examples of gear trains with different interval mesh stiffnesses are simulated and the results show that tooth separations are becoming more obvious at the resonant speed by considering the fluctuating mesh stiffness of the second parallel gear stage. The nonlinear tooth separations are degenerated obviously as the fluctuation error of the mesh stiffness of the second parallel gear set is increased.

show abstract

Interval analysis of rotor dynamic response with uncertain parameters

Cited by 56 publications

References 5 publications

Non-probabilistic analysis of a double-disk rotor system with uncertain parameters

Non-probabilistic analysis of a double-disk rotor system with uncertain parameters

Optimization analysis of Duffing oscillator with fractional derivatives

Dynamic Response Analysis of Wind Turbine Planetary Gear System With Interval Stiffness Parameters

Contact Info

Product

Resources

About