Nonlinear stochastic dynamics of a rub-impact rotor system with probabilistic uncertainties

Zhang, Zhenguo; Ma, Xinxing; Hu, Hua; Liang, Xiaodong

doi:10.1007/s11071-020-06064-w

Cited by 25 publications

(15 citation statements)

References 39 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In the strong nonlinear case, the steady-state solution of the relative amplitude of those two frames obtained by the equivalent linear method also matches the time marching solution well except for the excitation frequencies near the second-order resonance region. This is due to although numerical integration could give stable solutions, whether periodic or not, it is difficult to track the multi-value regimes [62], [63] In addition, when the relative amplitude between two screen frames exceeds the FFSP slack length, the resonant peak value shifts toward a higher frequency region, demonstrating the hardening nonlinearity of the system caused by the tensile deformation of FFSP. The system also exhibits multi-value features around the resonance region.…”

Section: ) Differences Between Analytical Solutions and Time Marching...mentioning

confidence: 99%

See 1 more Smart Citation

Nonlinear Model of Vibrating Flip-Flow Screens That Considers the Effects of Screen Panels

Lin

et al. 2022

IEEE Access

View full text Add to dashboard Cite

Vibrating flip-flow screens have been widely used in the mineral processing industry. As the key components, flip-flow screen panels strongly affect the dynamics of vibrating flip-flow screens. However, there is no systematic research into this problem. In this study, the dynamic characteristics of flip-flow screen panel are identified by the finite element analysis. Furthermore, a nonlinear coupling dynamic model of vibrating flip-flow screens that considers the effects of flip-flow screen panels is proposed, and the analytical and numerical solutions of its governing equation are deduced via the equivalent linearization method and the time marching method. Also, experimental results show that the proposed model describes the movements of vibrating flip-flow screens more accurately than the classical mechanical model which does not consider flip-flow screen panels. Finally, the effects of the screen panel's parameters, such as the slack length and the stiffness, on the dynamics of vibrating flip-flow screens are investigated.

show abstract

Section: ) Differences Between Analytical Solutions and Time Marching...mentioning

confidence: 99%

“…The system also exhibits multi-value features around the resonance region. Due to the transition between the noncontact state and the contact state, discontinuities of the slope of the resonance curve occur at the transition points [62], [64].…”

Section: ) Differences Between Analytical Solutions and Time Marching...mentioning

confidence: 99%

Nonlinear Model of Vibrating Flip-Flow Screens That Considers the Effects of Screen Panels

Lin

et al. 2022

IEEE Access

View full text Add to dashboard Cite

show abstract

“…According to Zhang et al, 5 the boundary of Hopf bifurcation reveals the transition from synchronous full annular rub motion to partial rub motion. Therefore, the stability of the solution and Hopf bifurcation condition can be investigated by combining equation (35), equation (33), and equation (14).…”

Section: Parameter Criteria For Stability and Bifurcationmentioning

confidence: 99%

“…The rub-impact phenomenon with non-linear behaviors is one of the classic research fields of rotor dynamics. [32][33][34] Nevertheless, one can recognize that the phase difference between excitation and the response during rub-impact has not attracted enough attention in the current study. In fact, it can be regarded as another key point besides the amplitude for the dynamic characteristics of the system.…”

Section: Introductionmentioning

confidence: 99%

Phase difference and stability of a shaft mounted a dry friction damper: Effects of viscous internal damping and gyroscopic moment

Huang

Tan

Lu³

2021

Advances in Mechanical Engineering

View full text Add to dashboard Cite

This study investigates the stability and phase difference of a shaft mounted a dry friction damper with effects of viscous internal damping and gyroscopic moment. The equations of the system with the vibration reduction effect of the dry friction damper on the shaft are derived in the form of the rectangular coordinate and polar coordinate in the vicinity of critical speed. The phase difference characteristics in the rub-impact process and its physical mechanism are analyzed by mathematical derivation. The characteristic equation is studied to investigate the stability of the periodic solution. Effects of different parameters of the system, especially viscous internal damping of the composite shaft and gyroscopic moment on the phase difference and stability regions are presented in detail by analytical and numerical simulation based on a helicopter tailrotor driveline. The experimental investigation is conducted in a test rig to validate theoretical formulas and simulation analysis. The analysis results show that rub impact delays the change of phase difference, viscous internal damping improves the stability of synchronous full annual rub solution, and gyroscopic moment affects the increase of the phase difference.

show abstract

“…This approach is restricted to the case in which the phase is a monotonic function of the frequency for all the uncertain parameter values. In [17], the authors applied PCE to investigate the effect of uncertainties on the steady-state response of a Jeffcott rotor subjected to rub-impact and parameter uncertainties.…”

Section: Introductionmentioning

confidence: 99%

Sensitivity Analysis of Nonlinear Frequency Response of Defected Structures

Saccani

Marconi

Tiso

et al. 2022

Preprint

View full text Add to dashboard Cite

The computation of the steady state response of large finite element discretized systems subject to periodic excitations is unfeasible because of excessive run time and memory requirements. One could in principle resort to reduced order models stemming from the high fidelity counterparts, which typically require a solution time orders of magnitude smaller. However, when many simulations are required, as in the case of parametric studies, the overall effort could be still significant and the analysis process could be severely hindered. In this work, we propose a sensitivity approach to assess the influence of model parameters on the nonlinear dynamic response. As opposed to the costly evaluation of reduced order solutions over a range of excitation frequencies and model parameters, the sensitivities of a nominal response allows one to approximate the dynamic response by a simple evaluation of an expansion in the directions spanning the parameter space. Special care must be taken on the closure equation that needs to be appended to the system of equations stemming from the harmonic balance method. We discuss the limitations of the current constant frequency approach and propose an improvement. We demonstrate the merits of the proposed approach on a micro-electro-mechanical system affected by parameterized manufacturing defects. Leveraging from a previous contribution, the nonlinear response and the sensitivities are obtained from a reduced order model which is analytical in the defect parameters. Our procedure is able to deliver accurate probability density functions of quantities of interest (e.g. nonlinear resonance peaks, triple solution bandwidth, etc) against statistical distributions of manufacturing defects at negligible computational cost.

show abstract

Nonlinear stochastic dynamics of a rub-impact rotor system with probabilistic uncertainties

Cited by 25 publications

References 39 publications

Nonlinear Model of Vibrating Flip-Flow Screens That Considers the Effects of Screen Panels

Nonlinear Model of Vibrating Flip-Flow Screens That Considers the Effects of Screen Panels

Phase difference and stability of a shaft mounted a dry friction damper: Effects of viscous internal damping and gyroscopic moment

Sensitivity Analysis of Nonlinear Frequency Response of Defected Structures

Contact Info

Product

Resources

About