Dynamic analysis of a rig shafting vibration based on finite element

doi:10.1007/s11465-013-0264-8

Front Mech Eng

2013, Vol. 8

Issue (3) : 244-251 https://doi.org/10.1007/s11465-013-0264-8

RESEARCH ARTICLE

Dynamic analysis of a rig shafting vibration based on finite element

Van Thanh NGO, Danmei XIE(

), Yangheng XIONG, Hengliang ZHANG, Yi YANG

School of Power and Mechanical Engineering Wuhan University, Wuhan 430072, China

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Abstract

In recently, finite elements method (FEM) has been used most popular for analysis of stress, vibration, heat flow and many other phenomena. Taking a rig shafting as an example, this paper studies the lateral vibration of the rig shafting with multi-degree-of-freedom by using FEM. The FEM model is created and the eigenvalues and eigenvectors are calculated and analyzed to find natural frequencies, critical speeds, mode shapes and unbalance responses. Then critical and mode shapes are determined. Finally, responses of unbalance force are analyzed in case of undamped and damped system, and peaks of response are compared.

Keywords Finite element method (FEM) lateral vibration rig shafting rotor-bearing system dynamic characteristics

Corresponding Author(s): XIE Danmei,Email:dmxie@whu.edu.cn

Issue Date: 05 September 2013

Cite this article:

Hengliang ZHANG,Yi YANG,Van Thanh NGO, et al. Dynamic analysis of a rig shafting vibration based on finite element[J]. Front Mech Eng, 2013, 8(3): 244-251.

URL:

https://academic.hep.com.cn/fme/EN/10.1007/s11465-013-0264-8
https://academic.hep.com.cn/fme/EN/Y2013/V8/I3/244

Fig.1 Shaft- line modeling of a rig rotor-bearing system

Fig.2 Coordinate used in analysis of rotor

Fig.3 Coordinate in plane

Fig.4 Journal bearing model

Tab.1 Eigenvalues (), natural frequencies (),damped natural frequencies () and damping ratio (ξ)

Tab.2 First fourth critical speeds (rev/min)

Fig.5 Campbell diagram, FW (forward whirl), BW (backward whirl)

Fig.6 The first four critical speeds mode shapes of the rotor

Fig.7 3D view the first four critical mode shapes of the rotor

Fig.8 Unbalance response of the rotor at node 13, 31, 46 in case of undamped system

Fig.9 Forward- whirl orbits at node 13 (blue circle), 31 (green circle), 46 (red circle). The cross denotes the start of the orbit and the diamond denotes the end. The dimensions are μm

Tab.3 Response magnitude at resonant in case of undamped and damped system (μm)

Fig.10 Unbalance response of the rotor at node 13, 31, 46 in case of damping system

Fig.11 Forward- whirl orbits at node 13 (blue circle), 31 (green circle), 46 (red circle). The cross denotes the start of the orbit and the diamond denotes the end. The dimensions are μm. (damping system)

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