Nonlinear dynamic properties of disk-bolt rotor with interfacial cutting faults on assembly surfaces

2017 ◽  
Vol 24 (19) ◽  
pp. 4369-4382
Author(s):  
Yi Liu ◽  
Heng Liu ◽  
BoWen Fan

Interfacial cutting faults on assembly surfaces are considered in a three-dimensional (3D) disk-bolt rotor system. The traditional finite element method is used to establish the 3D model of faulted disk-bolt rotor. A contact algorithm is applied to calculate the static features of this combined rotor. It is revealed that interfacial cutting faults produce rotor bending which is gradually strengthened as rotational speed increases besides disk’s mass eccentricity. The 3D dynamic equations of a faulted disk-bolt rotor system include these cutting faults’ static influences. The nonlinear dynamic properties are investigated by Poincaré mapping, Newton iteration and a prediction-correction algorithm. As a result, the rotor bending due to cutting faults reduces the global stability of the complicated rotor and enlarges the vibration amplitude obviously. This speed-variant bending also decides the feature that rotor vibration increases again after critical speed no matter whether dynamic balance is carried out. The maximum allowable fault depth is obtained and it gives an explanation as to why the machining precision of assembly surfaces should be strictly controlled in the disk-bolt rotor. Generally, this paper originally tries to provide a feasible approach to consider a 3D interfacial cutting fault with specific shape and to analyze the static–dynamic coupling characteristics for a disk-bolt rotor.

Author(s):  
Changping Chen ◽  
Liming Dai

General motions of discs and shafts of large rotary machines appear with highly nonlinear behavior. The geometries of the shafts and the supporting systems of this machine can all be treated as nonlinear. This paper aims to investigate the chaos properties of the nonlinear rotating system. The nonlinear dynamic governing equations of the rotating bearing system are derived. The geometric nonlinearity of the shaft, nonlinear hydrostatic forces of the bearings, mass of the shaft and disc, deformation of the shaft and a disc mounted on the shaft, and the viscoelasticity of the supports are all taken into account. Numerical simulations are performed in the research for studying the bifurcation and chaos properties of the specified nonlinear rotating system. The effects of the shaft’s rotating speed and the mass eccentricity of the disc on the nonlinear dynamic properties of the system are investigated in detail. The results show that abundant of bifurcations and chaos exist in this nonlinear rotating system Corresponding to certain parameter values. The bifurcations and chaotic phenomena should be avoided when designing the rotating system by adjusting the design parameters. The results of this research can hereby be used for guiding the design and operation of rotor-bearing systems.


1973 ◽  
Vol 6 (4) ◽  
pp. 503-508
Author(s):  
Richard N. Bergman ◽  
Richard J. Bucolo

2015 ◽  
Vol 55 (1) ◽  
pp. 011004 ◽  
Author(s):  
Jesus N. Eiras ◽  
Tribikram Kundu ◽  
John S. Popovics ◽  
José Monzó ◽  
María V. Borrachero ◽  
...  

Author(s):  
Wojciech Sas ◽  
Katarzyna Gabryś ◽  
Emil Soból ◽  
Alojzy Szymański

Abstract In this work, the small-strain and nonlinear dynamic properties of silty clay samples were studied by means of the low- and high-amplitude resonant column (RC) tests at various mean effective stresses (p’). The tested specimens were collected from the centre of Warsaw, district Śródmieście. Initially, the low-amplitude tests (below 0.001%) were conducted. Subsequently, the nonlinear testing was performed, at shearing strains greater than 0.001%. These tests were carried out in order to receive the dynamic properties of silty clay specimens in the nonlinear shear strain range. The small-strain material damping ratios (Dmin) of silty clay samples were also measured during the low-amplitude resonant column testing. The results show that increasing shear strain (γ) above the elastic threshold (γte) causes a decrease of the shear modulus (G) and normalized shear modulus (G/Gmax) of analyzed soil samples. Simultaneously, it is observed a increase of its damping ratio (D) and normalized damping (D/Dmin) with increasing shear strain (γ). Predictive equations for estimating normalized shear modulus and material damping of silty clay soils were presented here as well. The equations are based on a modified hyperbolic model and a statistical analysis of the RC tests results. The influence of unloading process on dynamic properties of the tested material was also discussed in the paper.


2015 ◽  
pp. 97-116 ◽  
Author(s):  
Yuri Kobljanskyj ◽  
Denys Slobodianiuk ◽  
Gennady Melkov ◽  
Konstantin Guslienko ◽  
Valentyn Novosad ◽  
...  

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