scholarly journals Bifurcation and chaos analysis for multi-freedom gear-bearing system with time-varying stiffness

2016 ◽  
Vol 40 (23-24) ◽  
pp. 10506-10520 ◽  
Author(s):  
Ling Xiang ◽  
Yi Jia ◽  
Aijun Hu
Keyword(s):  
Time Varying ◽  
Bifurcation And Chaos ◽  
Chaos Analysis ◽  
Bearing System

Parameters research on time-varying stiffness of the ball bearing system without race control hypothesis

2021 ◽  
pp. 095440622110179
Author(s):  
Yongzhen Liu ◽  
Yimin Zhang
Keyword(s):  
Ball Bearing ◽  
Combined Loading ◽  
Time Varying ◽  
Noticeable Effect ◽  
Rotating Speed ◽  
Bearing Stiffness ◽  
Vibration Mechanism ◽  
Control Hypothesis ◽  
Full Consideration ◽  
Bearing System

When the ball bearing serving under the combined loading conditions, the ball will roll in and out of the loaded zone periodically. Therefore the bearing stiffness will vary with the position of the ball, which will cause vibration. In order to reveal the vibration mechanism, the quasi static model without raceway control hypothesis is modeled. A two-layer nested iterative algorithm based on Newton–Raphson (N-R) method with dynamic declined factors is presented. The effect of the dispersion of bearing parameters and the installation errors on the time-varying carrying characteristics of the ball-raceway contact and the bearing stiffness are investigated. Numerical simulation illustrates that besides the load and the rotating speed, the dispersion of bearing parameters and the installation errors have noticeable effect on the ball-raceway contact load, ball-inner raceway contact state and bearing stiffness, which should be given full consideration during the process of design and fault diagnosis for the rotor-bearing system.

scholarly journals Bifurcation and chaos analysis for a discrete ecological developmental systems

2021 ◽  
Author(s):  
Xiao-Wei Jiang ◽  
Chaoyang Chen ◽  
Xian-He Zhang ◽  
Ming Chi ◽  
Huaicheng Yan
Keyword(s):  
Developmental Systems ◽  
Bifurcation And Chaos ◽  
Chaos Analysis

scholarly journals Stability, Bifurcation and Chaos Analysis of Vector-Borne Disease Model with Application to Rift Valley Fever

PLoS ONE ◽  
2014 ◽  
Vol 9 (10) ◽  
pp. e108172 ◽  
Author(s):  
Sansao A. Pedro ◽  
Shirley Abelman ◽  
Frank T. Ndjomatchoua ◽  
Rosemary Sang ◽  
Henri E. Z. Tonnang
Keyword(s):  
Rift Valley ◽  
Rift Valley Fever ◽  
Disease Model ◽  
Bifurcation And Chaos ◽  
Valley Fever ◽  
Chaos Analysis ◽  
Vector Borne Disease ◽  
Vector Borne

Bifurcation and chaos analysis of a spur gear pair system with fractal gear backlash

2020 ◽  
pp. 110387
Author(s):  
Kang Huang ◽  
Zhenbang Cheng ◽  
Yangshou Xiong ◽  
Guangzhi Han ◽  
Luyang Li
Keyword(s):  
Spur Gear ◽  
Gear Pair ◽  
Bifurcation And Chaos ◽  
Chaos Analysis ◽  
Gear Backlash

Dynamic Analyzing the Vibro-Impact System with Time-Varying Mass

2011 ◽  
Vol 199-200 ◽  
pp. 865-869 ◽  
Author(s):  
Yan Zhu ◽  
Shu Lin Wang ◽  
Shi Shun Zhu
Keyword(s):  
Dynamic Performance ◽  
Viscous Damping ◽  
Time Varying ◽  
Bifurcation And Chaos ◽  
Impact System ◽  
Varying Mass

To effectively model and analyze the vibro-impact system with time-varying mass, we considered the discontinuous impacts as a continuous effect of stiffness and viscous damping acting on the system and studied the dynamic performance based on the theory of bifurcation and chaos. It is demonstrated that the system will experience a process of from period-one motion to chaos and again back to period-one motion when the system transit the resonance. Our results may find applications in impact vibrations coupled with dispersive matter.

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