Improved incremental transfer matrix method for nonlinear rotor-bearing system

Rotor system supported by nonlinear bearing such as squeeze film damper (SFD) is widely used in practice owing to its wide range of damping capacity and simplicity in structure. In this paper, an improved and effective Incremental transfer matrix method (ITMM) is first presented by combining ITMM an...

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Published inActa mechanica Sinica Vol. 36; no. 5; pp. 1119 - 1132
Main Authors Chen, Yiheng, Rui, Xiaoting, Zhang, Zhiyong, Shehzad, Adeel
Format Journal Article
LanguageEnglish
Published Beijing The Chinese Society of Theoretical and Applied Mechanics; Institute of Mechanics, Chinese Academy of Sciences 01.10.2020
Springer Nature B.V
Department of Industrial and Manufacturing Engineering,University of Engineering and Technology,Lahore 54000,Pakistan
Institute of Launch Dynamics,Nanjing University of Science& Technology,Nanjing 210094,China%Institute of Launch Dynamics,Nanjing University of Science& Technology,Nanjing 210094,China
EditionEnglish ed.
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Abstract Rotor system supported by nonlinear bearing such as squeeze film damper (SFD) is widely used in practice owing to its wide range of damping capacity and simplicity in structure. In this paper, an improved and effective Incremental transfer matrix method (ITMM) is first presented by combining ITMM and fast Fourier transform (FFT). Afterwards this method is applied to calculate the dynamic characteristics of a Jeffcott rotor system with SFD. The convergence difficulties incurred caused by strong nonlinearities of SFD has been dealt by adopting a control factor. It is found that for the more general boundary problems where the boundary conditions are not at input and output ends of a chain system, the supplementary equation is necessarily added. Additionally, the Floquet theory is used to analyze the stability and bifurcation type of the obtained periodic solution. The semi-analytical results, including the periodic solutions of the system, the bifurcation points and their types, are in good agreement with the numerical method. Furthermore, the involution mechanism of the quasi-periodic and chaotic motions near the first-order translational mode and the second order bending mode of this system is also clarified by this method with the aid of Floquet theory. Graphical abstract
AbstractList Rotor system supported by nonlinear bearing such as squeeze film damper (SFD) is widely used in practice owing to its wide range of damping capacity and simplicity in structure. In this paper, an improved and effective Incremental transfer matrix method (ITMM) is first presented by combining ITMM and fast Fourier transform (FFT). Afterwards this method is applied to calculate the dynamic characteristics of a Jeffcott rotor system with SFD. The convergence difficulties incurred caused by strong nonlinearities of SFD has been dealt by adopting a control factor. It is found that for the more general boundary problems where the boundary conditions are not at input and output ends of a chain system, the supplementary equation is necessarily added. Additionally, the Floquet theory is used to analyze the stability and bifurcation type of the obtained periodic solution. The semi-analytical results, including the periodic solutions of the system, the bifurcation points and their types, are in good agreement with the numerical method. Furthermore, the involution mechanism of the quasi-periodic and chaotic motions near the first-order translational mode and the second order bending mode of this system is also clarified by this method with the aid of Floquet theory.
Rotor system supported by nonlinear bearing such as squeeze film damper (SFD) is widely used in practice owing to its wide range of damping capacity and simplicity in structure. In this paper, an improved and effective Incremental transfer matrix method (ITMM) is first presented by combining ITMM and fast Fourier transform (FFT). Afterwards this method is applied to calculate the dynamic characteristics of a Jeffcott rotor system with SFD. The convergence difficulties incurred caused by strong nonlinearities of SFD has been dealt by adopting a control factor. It is found that for the more general boundary problems where the boundary conditions are not at input and output ends of a chain system, the supplementary equation is necessarily added. Additionally, the Floquet theory is used to analyze the stability and bifurcation type of the obtained periodic solution. The semi-analytical results, including the periodic solutions of the system, the bifurcation points and their types, are in good agreement with the numerical method. Furthermore, the involution mechanism of the quasi-periodic and chaotic motions near the first-order translational mode and the second order bending mode of this system is also clarified by this method with the aid of Floquet theory. Graphical abstract
Author Chen, Yiheng
Zhang, Zhiyong
Shehzad, Adeel
Rui, Xiaoting
AuthorAffiliation Institute of Launch Dynamics,Nanjing University of Science& Technology,Nanjing 210094,China%Institute of Launch Dynamics,Nanjing University of Science& Technology,Nanjing 210094,China;Department of Industrial and Manufacturing Engineering,University of Engineering and Technology,Lahore 54000,Pakistan
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CitedBy_id crossref_primary_10_1007_s10409_021_09046_x
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crossref_primary_10_3390_app10217849
crossref_primary_10_1142_S0219455422501875
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The Chinese Society of Theoretical and Applied Mechanics and Springer-Verlag GmbH Germany, part of Springer Nature 2020.
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Issue 5
Keywords Incremental transfer matrix method
Bifurcation
Nonlinear characteristics
Jeffcott rotor system
Squeeze film damper
Language English
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PublicationTitle Acta mechanica Sinica
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PublicationYear 2020
Publisher The Chinese Society of Theoretical and Applied Mechanics; Institute of Mechanics, Chinese Academy of Sciences
Springer Nature B.V
Department of Industrial and Manufacturing Engineering,University of Engineering and Technology,Lahore 54000,Pakistan
Institute of Launch Dynamics,Nanjing University of Science& Technology,Nanjing 210094,China%Institute of Launch Dynamics,Nanjing University of Science& Technology,Nanjing 210094,China
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Snippet Rotor system supported by nonlinear bearing such as squeeze film damper (SFD) is widely used in practice owing to its wide range of damping capacity and...
Rotor system supported by nonlinear bearing such as squeeze film damper(SFD)is widely used in practice owing to its wide range of damping capacity and...
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SubjectTerms Bifurcation theory
Boundary conditions
Classical and Continuum Physics
Computational Intelligence
Damping capacity
Dynamic characteristics
Engineering
Engineering Fluid Dynamics
Fast Fourier transformations
Fourier transforms
Numerical methods
Research Paper
Rotor-bearing systems
Squeeze films
Stability analysis
Theoretical and Applied Mechanics
Transfer matrices
Title Improved incremental transfer matrix method for nonlinear rotor-bearing system
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