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Author:

Li, Wei (Li, Wei.) | Yang, Xiao-Dong (Yang, Xiao-Dong.) (Scholars:杨晓东) | Zhang, Wei (Zhang, Wei.) | Ren, Yuan (Ren, Yuan.) | Yang, Tian-Zhi (Yang, Tian-Zhi.)

Indexed by:

EI Scopus SCIE CSCD

Abstract:

The linear and non-linear free vibrations of a spinning piezoelectric beam are studied by considering geometric nonlinearities and electromechanical coupling effect. The non-linear differential equations of the spinning piezoelectric beam governing two transverse vibrations are derived by using transformation of two Euler angles and the extended Hamilton principle, wherein an additional piezoelectric coupling term and different linear terms are present in contrast to the traditional shaft model. Linear frequencies are obtained by solving the standard eigenvalues of the linearized system directly, and the non-linear frequencies and non-linear complex modes are achieved by using the method of multiple scales. For free vibrations analysis of a spinning piezoelectric beam, the non-linear modal motions are investigated as forward and backward precession with different spinning speeds. The responses to the initial conditions for this gyroscopic system are studied and a beat phenomenon is found, which are then validated by numerical simulation. The influences of some parameters such as electrical resistance, rotary inertia and spinning speeds to the non-linear dynamics of a spinning piezoelectric beam are investigated.

Keyword:

Spinning piezoelectric beam Free vibrations Non-linear frequencies Complex modes

Author Community:

  • [ 1 ] [Li, Wei]Beijing Univ Technol, Coll Mech Engn, Beijing Key Lab Nonlinear Vibrat & Strength Mech, Beijing 100124, Peoples R China
  • [ 2 ] [Yang, Xiao-Dong]Beijing Univ Technol, Coll Mech Engn, Beijing Key Lab Nonlinear Vibrat & Strength Mech, Beijing 100124, Peoples R China
  • [ 3 ] [Zhang, Wei]Beijing Univ Technol, Coll Mech Engn, Beijing Key Lab Nonlinear Vibrat & Strength Mech, Beijing 100124, Peoples R China
  • [ 4 ] [Ren, Yuan]Space Engn Univ, Dept Aerosp Sci & Technol, Beijing 101416, Peoples R China
  • [ 5 ] [Yang, Tian-Zhi]Tianjin Univ, Dept Mech, Tianjin 300072, Peoples R China

Reprint Author's Address:

  • 杨晓东

    [Yang, Xiao-Dong]Beijing Univ Technol, Coll Mech Engn, Beijing Key Lab Nonlinear Vibrat & Strength Mech, Beijing 100124, Peoples R China

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Source :

ACTA MECHANICA SINICA

ISSN: 0567-7718

Year: 2019

Issue: 4

Volume: 35

Page: 879-893

3 . 5 0 0

JCR@2022

ESI Discipline: ENGINEERING;

ESI HC Threshold:136

JCR Journal Grade:3

Cited Count:

WoS CC Cited Count: 21

SCOPUS Cited Count: 21

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 5

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