Investigation on dynamic behaviors of rotor system with looseness and nonlinear supporting

2022 ◽  
Vol 166 ◽  
pp. 108400
Author(s):  
Haopeng Zhang ◽  
Kuan Lu ◽  
Wei Zhang ◽  
Chao Fu
2019 ◽  
Vol 89 (11) ◽  
pp. 2381-2395 ◽  
Author(s):  
Yuqi Li ◽  
Zhong Luo ◽  
Zijia Liu ◽  
Xiaojie Hou

Author(s):  
Yi Liu ◽  
Heng Liu ◽  
Yuan Li ◽  
Nanshan Wang

Abstract Different from the crack on the rotating shaft, the crack on the bolt which is a connecting part of the bolt-disc combined rotor is a kind of local defect. The local crack on the bolt under high pretension is always in open state, and it increases the overall vibration of the combined rotor significantly in practice. This paper studies the modelling of the crack on the bolt and nonlinear dynamic behaviors of the cracked bolt-disc rotor system. The circumferential bolts with a transverse open crack are treated as several bar elements under the assumption that each bolt has the same original tensile extension length. The cracked correction coefficient is introduced to describe the decreasing amount of bolt's tension due to crack. After this coefficient is obtained according to finite element method, the stiffness matrix of circumferential bolts with crack is built based on total potential energy. The dynamic model consists of a time-independent stiffness matrix for perfect bolts, a time-variant reductive stiffness and an additional moment. As a result, the crack in bolt reduces rotor's nonlinear stability and leads to greater vibration and fluctuation. In addition, crack depth has much larger influence than crack location on the dynamic behaviors.


2019 ◽  
Vol 7 (3) ◽  
pp. 241-249
Author(s):  
Zhang Hao ◽  
Yun Xianghe ◽  
Han Qingkai ◽  
Hao Hai

Author(s):  
Enjie Zhang ◽  
Yinghou Jiao ◽  
Zhaobo Chen ◽  
Wenchao Mo

Steam turbine rotors are subjected to various excitation forces originated from inner structure and outer environment. Unbalance forces, nonlinear oil film forces, nonlinear seal forces, and base excitation are drastically influence the dynamic behaviors of the rotor system. A mathematical model of rotor system, including the coupled effects of these excitation forces, is established by applying the Lagrange’s equations. The axial flow velocity and leakage mass flow, which vary with the structure of labyrinth seal and with inlet/outlet pressure ratio, are calculated using the two-control-volume model. The axial mean flow velocity is then introduced into the Muszynska’s nonlinear seal forces model. The nonlinear oil-film forces are also obtained based on the short bearing theory. The equations of motion are solved by Runge-Kutta numerical integration. The influences of inlet pressure and seal strip number on axial mean flow velocity and leakage mass flow are analyzed. The effects of rotational speed, foundation movements and inlet pressure on the nonlinear dynamic characteristics of the labyrinth seal-bearing-rotor system are investigated. The bifurcation diagrams, axis orbits and spectrum cascades are used to analyze the nonlinear dynamic behaviors of the system.


2021 ◽  
Vol 156 ◽  
pp. 106829
Author(s):  
Fanming Meng ◽  
Jiayu Gong ◽  
Sheng Yang ◽  
Li Huang ◽  
Haitao Zhao ◽  
...  

2020 ◽  
Vol 56 (3) ◽  
pp. 96
Author(s):  
YUAN Bing ◽  
CHANG Shan ◽  
LIU Geng ◽  
LIU Lan ◽  
CAO Xiaomei

Author(s):  
Enjie Zhang ◽  
Yinghou Jiao ◽  
Zhaobo Chen ◽  
Wenchao Mo ◽  
Shuai Wang

The modern engineering industries rely heavily on the reliable operation of rotating machinery, e.g., steam turbine and gas turbine. These rotating machineries are inevitable to be excited by the unbalance mass forces, the oil film forces and seal forces. Moreover, the turbines installed in an aircraft as well as vessel are also excited by the base vibration. In order to retain the healthy operation and prolong the interval between overhauls, an enormous amount of experimental and theoretical investigations have been focused on the dynamic behaviors of the rotor system. The dynamic characteristics of the rotor system influenced by the single source of vibration, such as unbalance, flowing lubricating oil, sealing medium etc., and combined sources of vibration have also been thoroughly researched. However, the dynamic responses of the rotor-bearing-foundation system subjected to labyrinth seal forces have seldom been studied. Furthermore, the previous analyses of the rotor dynamics mostly were linear. In fact, the fluid film forces are strongly nonlinear functions of the displacement and velocity of the rotor. As a result, the rotordynamics of the turbine is highly nonlinear. It is not accurate enough to be considered from a linear point of view. Applying the energy method, this paper established a dynamic model of the rotor-bearing-foundation-labyrinth seal system. The influences of the geometrical parameters and operating conditions, such as mass eccentricities, inlet pressure and rotational speed etc., on the nonlinear dynamic behaviors of the rotor system are numerically studied. The responses of the same system excited by one side of and both sides of base movement are also comparatively analyzed by means of spectrum cascades, bifurcation diagrams and whirl orbits as well as Poincaré maps.


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