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Author:

Su, Xiaoyang (Su, Xiaoyang.) | Kang, Houjun (Kang, Houjun.) | Zhang, Wei (Zhang, Wei.) | Cong, Yunyue (Cong, Yunyue.) | Wang, Yuewu (Wang, Yuewu.) | Liu, Chaoran (Liu, Chaoran.)

Indexed by:

EI Scopus SCIE

Abstract:

By applying a moving load with the uniform velocity, this paper investigates nonlinear behaviors of a shallow arch model allowing for describing the effects of the initial configuration of the structure. Two different cases are taken into account, namely, simultaneous primary resonances of the first and third modes; simultaneous resonances of the first mode for two-term excitations. First, nonlinear ordinary differential equations (ODEs) of the shallow arch are derived by using Galerkin method. Through introducing different time scales, the ODEs are solved based on the widely utilized method of multiple time scales (MMTS). In this way, the modulation equations for the two cases are derived, on the basis of which the steady state frequency- and force-response curves are obtained. Meanwhile, phase portraits, power spectra and two-parameter bifurcation diagram are also given to assist in analysis on nonlinear behaviors. The results show that the large vibration of the shallow arch under the moving load may occur and primary resonance peaks of the different modes are located in distinct positions.

Keyword:

Shallow arch Moving load Subharmonic resonance Primary resonance Simultaneous resonances

Author Community:

  • [ 1 ] [Su, Xiaoyang]Guangxi Univ, Sch Civil Engn & Architecture, Nanning 530004, Guangxi, Peoples R China
  • [ 2 ] [Kang, Houjun]Guangxi Univ, Sch Civil Engn & Architecture, Nanning 530004, Guangxi, Peoples R China
  • [ 3 ] [Zhang, Wei]Guangxi Univ, Sch Civil Engn & Architecture, Nanning 530004, Guangxi, Peoples R China
  • [ 4 ] [Cong, Yunyue]Guangxi Univ, Sch Civil Engn & Architecture, Nanning 530004, Guangxi, Peoples R China
  • [ 5 ] [Su, Xiaoyang]Beijing Univ Technol, Sch Math Stat & Mech, Beijing 100124, Peoples R China
  • [ 6 ] [Zhang, Wei]Beijing Univ Technol, Sch Math Stat & Mech, Beijing 100124, Peoples R China
  • [ 7 ] [Wang, Yuewu]Beijing Univ Technol, Sch Math Stat & Mech, Beijing 100124, Peoples R China
  • [ 8 ] [Liu, Chaoran]Beijing Univ Technol, Sch Math Stat & Mech, Beijing 100124, Peoples R China
  • [ 9 ] [Su, Xiaoyang]Guangxi Univ, State Key Lab Featured Met Mat & Life Cycle Safety, Nanning 530004, Guangxi, Peoples R China
  • [ 10 ] [Kang, Houjun]Guangxi Univ, State Key Lab Featured Met Mat & Life Cycle Safety, Nanning 530004, Guangxi, Peoples R China
  • [ 11 ] [Zhang, Wei]Guangxi Univ, State Key Lab Featured Met Mat & Life Cycle Safety, Nanning 530004, Guangxi, Peoples R China
  • [ 12 ] [Cong, Yunyue]Guangxi Univ, State Key Lab Featured Met Mat & Life Cycle Safety, Nanning 530004, Guangxi, Peoples R China

Reprint Author's Address:

  • [Kang, Houjun]Guangxi Univ, Sch Civil Engn & Architecture, Nanning 530004, Guangxi, Peoples R China;;[Zhang, Wei]Guangxi Univ, Sch Civil Engn & Architecture, Nanning 530004, Guangxi, Peoples R China

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Source :

EUROPEAN JOURNAL OF MECHANICS A-SOLIDS

ISSN: 0997-7538

Year: 2024

Volume: 109

4 . 1 0 0

JCR@2022

Cited Count:

WoS CC Cited Count:

SCOPUS Cited Count: 2

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 2

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