Nonlinear forced vibration analysis of the composite shaft-disk system combined the reduced-order model with the IHB method

In this paper, the internal resonance phenomena of a composite shaft-disk system with multi-degrees-of-freedom are analyzed. The force caused by the unbalanced mass of the disk is considered as an external excitation force. The shaft is simply supported. Shear deformation and gyroscopic effects are...

Full description

Saved in:
Bibliographic Details
Published in:Nonlinear dynamics 2021-06, Vol.104 (4), p.3347-3364
Main Authors: Ri, Kwangchol, Han, Wonjin, Pak, Choljun, Kim, Kumchol, Yun, Cholil
Format: Article
Language:English
Subjects:
Automotive Engineering
Beam theory (structures)
Classical Mechanics
Composite materials
Control
Deformation
Deformation effects
Degrees of freedom
Dynamical Systems
Engineering
Equations of motion
Finite element method
Forced vibration
Mathematical analysis
Mechanical Engineering
Nonlinear equations
Original Paper
Quadratures
Reduced order models
Resonance
Shear deformation
Stiffness
Timoshenko beams
Vibration
Vibration analysis
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:In this paper, the internal resonance phenomena of a composite shaft-disk system with multi-degrees-of-freedom are analyzed. The force caused by the unbalanced mass of the disk is considered as an external excitation force. The shaft is simply supported. Shear deformation and gyroscopic effects are considered. The strain–displacement relationship of the shaft element is expressed using the Timoshenko beam theory. Each node has 5 degrees of freedom. SHBT (simplified homogenized beam theory) is applied to calculate the stiffness of the composite shaft. WQEM (weak form quadrature element method) is used to construct the element matrices, and the system matrices are established using the element matrix assembly rule of the FEM (finite element method). The reduced-order model is applied to reduce the calculation time. IHB (incremental harmonic balance) method is utilized to solve the nonlinear equations of motion of the composite shaft-disk system. The nonlinear vibration characteristics of the Jeffcott rotor are analyzed using the proposed method and compared with the results of previous researches, and the results are very similar. Based on these considerations, the nonlinear vibration phenomena of the composite shaft-disk system with multi-degrees-of-freedom are considered at the several resonance points.
ISSN:0924-090X
1573-269X
DOI:10.1007/s11071-021-06510-3