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https://doi.org/10.4236/ojce.2014.41003

has been cited by the following article:

• TITLE: Study of Longitudinal Oscillations of a Building on the Basis of Continuum Plate Model

  AUTHORS: Makhamatali K. Usarov, Gayratjon T. Ayubov

  KEYWORDS: Seismic Effects, Continuum Plate Model of a Building, Cantilever Plate, Moment, Bimoment, Boundary Conditions, Finite Element Method (FEM) and Finite Difference Method (FDM)

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.6 No.9, September 30, 2018

  ABSTRACT: Continuum plate model in the form of a cantilever anisotropic plate developed in the framework of the bimoment theory of plates describing seismic oscillations of buildings is proposed in this paper as a dynamic model of a building. Formulas for the reduced moduli of elasticity, shear and density of the plate model of a building are given. Longitudinal oscillations of a building are studied using the continuum plate and box-like models of the building with Finite Element Model. Numerical results are obtained in the form of graphs, followed by their analysis.