Title: A new method of forced vibration problem of deep beams under distributed harmonic load

Authors: Yingjie Chen; Yingwei Song; Jianxun Yang; Teng Teng

Addresses: College of Architectural Engineering and Mechanics, Yanshan University, Qinhuangdao, Hebei, China ' College of Architectural Engineering and Mechanics, Yanshan University, Qinhuangdao, Hebei, China ' College of Architectural Engineering and Mechanics, Yanshan University, Qinhuangdao, Hebei, China ' College of Architectural Engineering and Mechanics, Yanshan University, Qinhuangdao, Hebei, China

Abstract: In this paper, the control equation is first set up by using the reciprocal theory method when considering the section rotation of deep beam, shear deformation of adjacent cross section and the transverse stress. Then the control equation of deep beams under three kinds of boundary conditions is established. According to the comparison between the numerical value and finite element simulation value, we can know that the control equation and the deflection equation of the forced vibration of deep beams are correct. This is a new computing method of the forced vibration problem of deep beams under distributed harmonic load.

Keywords: deep beam; distributed harmonic load; forced vibration; reciprocal method; deflection equation.

DOI: 10.1504/IJMSI.2018.093909

International Journal of Materials and Structural Integrity, 2018 Vol.12 No.1/2/3, pp.179 - 193

Received: 02 Apr 2018
Accepted: 16 Apr 2018
Published online: 08 Aug 2018 *

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