Damping Effect of a Controlled Nonlinear Meso-Scale Beam Under Periodic Excitation

Zuguang Ying, Yiqing Ni, Zhigang Ruan

Research output: Chapter in book / Conference proceedingChapter in an edited book (as author)Academic researchpeer-review


Amplitude frequency characteristics of a controlled nonlinear meso-scale beam are studied. Harmonic balance solution method including general analytical expression and updated cycle iteration procedure is developed. Vibration equation with general expression of nonlinear terms for periodic response is derived and general analytical expression for harmonic balance solution is obtained. Updated cycle iteration procedure for amplitude frequency relation is proposed. Periodic vibration response with various frequencies can be calculated uniformly. The method can take into account effect of higher harmonic components on response, and is applicable to various periodic vibration including principal and super-harmonic resonances. Numerical results demonstrate that the developed method has good convergence and accuracy. Effect of damping gain on vibration response reduction of the beam with feedback control is explored. Anti-resonant response near super-harmonic resonance in the nonlinear beam is obtained. Smaller amplitude response has larger stability probability than larger amplitude response for two stationary responses.

Original languageEnglish
Title of host publicationLecture Notes on Data Engineering and Communications Technologies
PublisherSpringer Science and Business Media Deutschland GmbH
Number of pages12
Publication statusPublished - Jul 2021

Publication series

NameLecture Notes on Data Engineering and Communications Technologies
ISSN (Print)2367-4512
ISSN (Electronic)2367-4520


  • Amplitude frequency characteristics
  • Damping gain effect
  • Feedback control
  • General analytical expression
  • Harmonic balance solution
  • Meso beam
  • Nonlinear periodic vibration
  • Updated cycle iteration

ASJC Scopus subject areas

  • Information Systems
  • Media Technology
  • Computer Science Applications
  • Computer Networks and Communications
  • Electrical and Electronic Engineering


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