NDLI: Application of the HB–AFT method to the primary resonance analysis of a dual-rotor system

Content Provider	Springer Nature Link
Author	Hou, Lei Chen, Yushu Fu, Yiqiang Chen, Huizheng Lu, Zhenyong Liu, Zhansheng
Copyright Year	2017
Abstract	This paper focuses on the primary resonance analysis of a dual-rotor system having two rotor unbalance excitations of different rotating speeds and being connected by an inter-shaft ball bearing. Due to the complex excitation condition and the complicated nonlinear bearing forces of the inter-shaft bearing, the general analytical methods, e.g., the multiple scales method or the harmonic balance method, are failed to give the theoretical solutions. Thus, the harmonic balance–alternating frequency/time domain (HB–AFT) method is formulated to deal with this problem. The basic idea of the method is using the inverse discrete Fourier transform and the discrete Fourier transform, instead of the direct analytical relationship between the supposed solutions of the system and the nonlinear forces, to construct the harmonic expressions of the nonlinear forces, which is the so-called alternating frequency/time domain technique. By using the HB–AFT method, therefore, a Newton– Raphson iteration procedure can be performed to demonstrate the approximate solutions of the system. Accordingly, the frequency responses of the system affected by some critical parameters, such as rotating speed ratio, unbalances of both the inner and outer rotors, and clearance of the inter-shaft bearing, are analyzed, respectively. A variety of phenomena including double resonance peaks, biperiodic and quasi-periodic behaviors, and resonance hysteresis phenomenon are obtained, which are discussed in detail through diagrams for separated frequency responses with different frequency components and rotors’ orbits for different combinations of system parameters. Most prominently, for a relatively small unbalance of rotor as well as a relatively large clearance of the inter-shaft bearing, the resonance hysteresis phenomena are more obvious. The results obtained are also compared with the direct numerical simulation results, and the comparisons show good agreements. In addition, the methodology formulated in this paper is a general approach, which can be applied to other engineering systems with multi-frequency excitations.
Starting Page	2531
Ending Page	2551
Page Count	21
File Format	PDF
ISSN	0924090X
Journal	Nonlinear Dynamics
Volume Number	88
Issue Number	4
e-ISSN	1573269X
Language	English
Publisher	Springer Netherlands
Publisher Date	2017-02-21
Publisher Place	Dordrecht
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	resonance analysis Dual-rotor system; HB–AFT method Inter-shaft ball bearing Resonance hysteresis phenomenon Vibration, Dynamical Systems, Control Classical Mechanics Mechanical Engineering Automotive Engineering
Content Type	Text
Resource Type	Article
Subject	Ocean Engineering Applied Mathematics Control and Systems Engineering Mechanical Engineering Electrical and Electronic Engineering Aerospace Engineering

Sl.	Authority	Responsibilities	Communication Details
1	Ministry of Education (GoI), Department of Higher Education	Sanctioning Authority	https://www.education.gov.in/ict-initiatives
2	Indian Institute of Technology Kharagpur	Host Institute of the Project: The host institute of the project is responsible for providing infrastructure support and hosting the project	https://www.iitkgp.ac.in
3	National Digital Library of India Office, Indian Institute of Technology Kharagpur	The administrative and infrastructural headquarters of the project	Dr. B. Sutradhar bsutra@ndl.gov.in
4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
5	Website/Portal (Helpdesk)	Queries regarding NDLI and its services	support@ndl.gov.in
6	Contents and Copyright Issues	Queries related to content curation and copyright issues	content@ndl.gov.in
7	National Digital Library of India Club (NDLI Club)	Queries related to NDLI Club formation, support, user awareness program, seminar/symposium, collaboration, social media, promotion, and outreach	clubsupport@ndl.gov.in
8	Digital Preservation Centre (DPC)	Assistance with digitizing and archiving copyright-free printed books	dpc@ndl.gov.in
9	IDR Setup or Support	Queries related to establishment and support of Institutional Digital Repository (IDR) and IDR workshops	idr@ndl.gov.in

Turning maneuver caused response in an aircraft rotor-ball bearing system

Steady-state response characteristics of a dual-rotor system induced by rub-impact

Nonlinear response analysis for a dual-rotor system with a breathing transverse crack in the hollow shaft

Effects of axial preload of ball bearing on the nonlinear dynamic characteristics of a rotor-bearing system

Nonlinear modeling and dynamic analysis of the rotor-bearing system

Global Stability Analysis of Cylindrical and Dual Offset Rotor Bearing Systems

Dynamic characteristics of a disk–drum–shaft rotor system with rub-impact

Dual input–output pairs for modeling hysteresis inspired by mem-models

Post-critical analysis of ground resonance phenomenon: effect of stator asymmetry

Application of the HB–AFT method to the primary resonance analysis of a dual-rotor system

Similar Documents

Turning maneuver caused response in an aircraft rotor-ball bearing system

Steady-state response characteristics of a dual-rotor system induced by rub-impact

Nonlinear response analysis for a dual-rotor system with a breathing transverse crack in the hollow shaft

Effects of axial preload of ball bearing on the nonlinear dynamic characteristics of a rotor-bearing system

Nonlinear modeling and dynamic analysis of the rotor-bearing system

Global Stability Analysis of Cylindrical and Dual Offset Rotor Bearing Systems

Dynamic characteristics of a disk–drum–shaft rotor system with rub-impact

Dual input–output pairs for modeling hysteresis inspired by mem-models

Post-critical analysis of ground resonance phenomenon: effect of stator asymmetry

Application of the HB–AFT method to the primary resonance analysis of a dual-rotor system