Engineering Mechanics ›› 2018, Vol. 35 ›› Issue (7): 18-23.doi: 10.6052/j.issn.1000-4750.2017.03.0252

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THE DYNAMIC RESPONSE OF A SIMPLY SUPPORTED VISCOUSLY DAMPED BEAM SYSTEM UNDER A MOVING HARMONIC OSCILLATOR

CHENG Yong-feng1, ZHU Zhao-qing1, LU Zhi-cheng1, ZHANG Fu-you2   

  1. 1. China Electric Power Research Institute, Beijing 102401, China;
    2. College of Civil Engineering and Transportation Engineering, Hohai University, Nanjing 210098, China
  • Received:2017-03-28 Revised:2017-11-13 Online:2018-07-25 Published:2018-07-26

Abstract: The dynamic response of a foundation-beam system under a moving harmonic oscillator is investigated. The foundation-beam system is made of an elastic homogeneous isotropic Euler-Bernoulli beam, which is supported continuously by a foundation of elastic springs with viscous damping. The moving harmonic oscillator is simplified by a single degree of freedom (SDOF) system. The equation governing the vibration of Euler-Bernoulli beam is proposed. By introducing some state variables, a new state-space equation is established, which is then solved by a single-step scheme. Numerical examples are employed to investigate the effects of the mechanical properties of the oscillator and foundation on the response of the beam.

Key words: foundation-beam system, moving oscillator, state-space equation, dynamic response, viscoelastic foundation model

CLC Number: 

  • TU470+1
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