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

作　　者：Makhamatali K. Usarov Gayratjon T. Ayubov 

机构地区：[1]Institute of Mechanics and Seismic Stability of Structures, Academy of Sciences of Uzbekistan, Tashkent, Uzbeksitan

出　　处：《Journal of Applied Mathematics and Physics》2018年第9期1928-1936,共9页应用数学与应用物理（英文）

摘　　要：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.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.

关 键 词：Seismic Effects CONTINUUM PLATE MODEL of a BUILDING Cantilever PLATE Moment BIMOMENT Boundary Conditions FINITE Element Method (FEM) and FINITE Difference Method (FDM) 

分 类 号：O1[理学—数学]