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Transient and Steady State Analysis of a Flexible Coaxial-Rotor System Considering the Effect of Internal Damping on System Stability.

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Title: Transient and Steady State Analysis of a Flexible Coaxial-Rotor System Considering the Effect of Internal Damping on System Stability.
Authors: Singh, Shashank Shekhar1 (AUTHOR) shashank_61900035@nitkkr.ac.in, Kumar, Punit1 (AUTHOR) punitkumar@nitkkr.ac.in
Source: Arabian Journal for Science & Engineering (Springer Science & Business Media B.V. ). Feb2026, Vol. 51 Issue 3, p2223-2241. 19p.
Subject Terms: *Damping (Mechanics), *Stability of linear systems, *System analysis, *Rotors, *Finite element method, *Vibration (Mechanics), *Transient analysis, *Angular velocity
Abstract: The present work investigates the transient and steady state behavior of an internally damped coaxial-rotor system (CRS) subjected to synchronous mass-imbalance. A mathematical model has been developed using a finite-element method incorporating rotary and shear inertia effects with detailed intershaft bearing modeling. The system equations expressed in state-space form are solved using the Modified Euler's method for transient analysis. Notable findings include the identification of two backward and two forward whirl frequencies within the rotational speed range of 0–12000 RPM. Further, it is concluded that internal damping significantly affects the CRS stability as destabilization was found to occurs above 8371 RPM. Maximum steady-state amplitudes of vibration are obtained at Bearing-4 and Disk-3, with magnitudes of 1.6 mm and 1.3 mm, respectively. Besides, during run-ups, changes in angular acceleration from 150 to 300 rads−2 lead to a substantial reduction of 22.23%, 22.4%, 21.53% and 21.5% in peak transient response at Disk-1, Disk-2, Disk-3 and Disk-4, respectively. Notably, the transient response along the two mutually perpendicular lateral directions (x and y) at disk locations and intershaft bearing is found to be nearly identical because of inherent symmetry and isotropic stiffness and damping properties. [ABSTRACT FROM AUTHOR]
Database: Energy & Power Source
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DbLabel: Energy & Power Source
An: 192432392
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  Label: Title
  Group: Ti
  Data: Transient and Steady State Analysis of a Flexible Coaxial-Rotor System Considering the Effect of Internal Damping on System Stability.
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  Data: <searchLink fieldCode="AR" term="%22Singh%2C+Shashank+Shekhar%22">Singh, Shashank Shekhar</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> shashank_61900035@nitkkr.ac.in</i><br /><searchLink fieldCode="AR" term="%22Kumar%2C+Punit%22">Kumar, Punit</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> punitkumar@nitkkr.ac.in</i>
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  Data: <searchLink fieldCode="JN" term="%22Arabian+Journal+for+Science+%26+Engineering+%28Springer+Science+%26+Business+Media+B%2EV%2E+%29%22">Arabian Journal for Science & Engineering (Springer Science & Business Media B.V. )</searchLink>. Feb2026, Vol. 51 Issue 3, p2223-2241. 19p.
– Name: Subject
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  Data: *<searchLink fieldCode="DE" term="%22Damping+%28Mechanics%29%22">Damping (Mechanics)</searchLink><br />*<searchLink fieldCode="DE" term="%22Stability+of+linear+systems%22">Stability of linear systems</searchLink><br />*<searchLink fieldCode="DE" term="%22System+analysis%22">System analysis</searchLink><br />*<searchLink fieldCode="DE" term="%22Rotors%22">Rotors</searchLink><br />*<searchLink fieldCode="DE" term="%22Finite+element+method%22">Finite element method</searchLink><br />*<searchLink fieldCode="DE" term="%22Vibration+%28Mechanics%29%22">Vibration (Mechanics)</searchLink><br />*<searchLink fieldCode="DE" term="%22Transient+analysis%22">Transient analysis</searchLink><br />*<searchLink fieldCode="DE" term="%22Angular+velocity%22">Angular velocity</searchLink>
– Name: Abstract
  Label: Abstract
  Group: Ab
  Data: The present work investigates the transient and steady state behavior of an internally damped coaxial-rotor system (CRS) subjected to synchronous mass-imbalance. A mathematical model has been developed using a finite-element method incorporating rotary and shear inertia effects with detailed intershaft bearing modeling. The system equations expressed in state-space form are solved using the Modified Euler's method for transient analysis. Notable findings include the identification of two backward and two forward whirl frequencies within the rotational speed range of 0–12000 RPM. Further, it is concluded that internal damping significantly affects the CRS stability as destabilization was found to occurs above 8371 RPM. Maximum steady-state amplitudes of vibration are obtained at Bearing-4 and Disk-3, with magnitudes of 1.6 mm and 1.3 mm, respectively. Besides, during run-ups, changes in angular acceleration from 150 to 300 rads−2 lead to a substantial reduction of 22.23%, 22.4%, 21.53% and 21.5% in peak transient response at Disk-1, Disk-2, Disk-3 and Disk-4, respectively. Notably, the transient response along the two mutually perpendicular lateral directions (x and y) at disk locations and intershaft bearing is found to be nearly identical because of inherent symmetry and isotropic stiffness and damping properties. [ABSTRACT FROM AUTHOR]
PLink https://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=enr&AN=192432392
RecordInfo BibRecord:
  BibEntity:
    Identifiers:
      – Type: doi
        Value: 10.1007/s13369-024-09871-0
    Languages:
      – Code: eng
        Text: English
    PhysicalDescription:
      Pagination:
        PageCount: 19
        StartPage: 2223
    Subjects:
      – SubjectFull: Damping (Mechanics)
        Type: general
      – SubjectFull: Stability of linear systems
        Type: general
      – SubjectFull: System analysis
        Type: general
      – SubjectFull: Rotors
        Type: general
      – SubjectFull: Finite element method
        Type: general
      – SubjectFull: Vibration (Mechanics)
        Type: general
      – SubjectFull: Transient analysis
        Type: general
      – SubjectFull: Angular velocity
        Type: general
    Titles:
      – TitleFull: Transient and Steady State Analysis of a Flexible Coaxial-Rotor System Considering the Effect of Internal Damping on System Stability.
        Type: main
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      – PersonEntity:
          Name:
            NameFull: Singh, Shashank Shekhar
      – PersonEntity:
          Name:
            NameFull: Kumar, Punit
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          Dates:
            – D: 01
              M: 02
              Text: Feb2026
              Type: published
              Y: 2026
          Identifiers:
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              Value: 2193567X
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              Value: 51
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              Value: 3
          Titles:
            – TitleFull: Arabian Journal for Science & Engineering (Springer Science & Business Media B.V. )
              Type: main
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