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Earthquakes and Structures
  Volume 22, Number 5, May 2022 , pages 517-526
DOI: https://doi.org/10.12989/eas.2022.22.5.517
 


Large deformations of a flexural frame under nonlinear P-delta effects
Dana Afshar and Majid Amin Afshar

 
Abstract
    In this paper, nonlinear P-delta effects are studied on the seismic performance, and the modal responses of a flexural frame, considering large deformations. Using multiple scales method, the nonlinear differential equations of motion are estimated, and the nonlinear interactions between the frame's degrees of freedom are outcropped. The results of time and frequency domain analyzes of a dynamic model are examined under internal resonance cases, and the linear and nonlinear responses are investigated in each modal cases. Also, changing the modal responses with respect to the amplitude and frequency of the harmonic forces is evaluated. It is shown that the dominant absorption of energy is in the first natural frequency of the frame, in the case of earthquake excitation, and when a harmonic force is applied to the frame, the peaks of the frequency domain responses depending on the frequency of harmonic force are in the first, and second or third natural frequency of the structure.
 
Key Words
    flexural frame; multiple scales method; nonlinear interaction; P-delta effect
 
Address
Dana Afshar and Majid Amin Afshar:Department of Technology and Engineering, Imam Khomeini International University P.O. Box 34149-16818, Qazvin, Iran
 

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