Author(s)

Makhamatali K. Usarov, Gayratjon T. Ayubov

Institute of Mechanics and Seismic Stability of Structures, Academy of Sciences of Uzbekistan, Tashkent, Uzbeksitan.

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.

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

Usarov, M. and Ayubov, G. (2018) Study of Longitudinal Oscillations of a Building on the Basis of Continuum Plate Model. Journal of Applied Mathematics and Physics, 6, 1928-1936. doi: 10.4236/jamp.2018.69164.