Building oscillations based on a plate model

Abstract

The paper is devoted to the numerical solution of the problem of transverse oscillations of a multi-storey building within the framework of a continuous plate model under seismic effects. Cantilevers anisotropic plate is proposed as a building dynamic model, the theory of which is developed in the framework of a three-dimensional dynamic theory of elasticity and takes into account not only structural forces and moments but also the bimoments. The proposed plate model of a building allows us to take into account and study all types of different spatial oscillations of the building structure under the impacts different in direction. Formulas are given for the reduced density, elastic moduli, and shear of the plate model of the building. The base acceleration, given in time by a harmonic law, is taken as a seismic impact. The problem is solved by the finite difference method. Examples are considered and numerical results are obtained. Waveform, displacements, and accelerations distribution diagram of multi-storey high-rise buildings under transverse oscillations are plotted.

Polymer reagent in construction practice

“…It has been established that the higher the value of ‫ܯܱ‬ of concrete, the lower the drop in Rben, the lower ε and the depth of corrosion destruction. At the same time, sulfate resistance on ordinary Portland cement under conditions of capillary absorption and evaporation of saline groundwater can be ensured by the combined use of the POLY-ANS 2 additive and the filler (TPP ash) [7][8][9][10][11][12][13][14].…”

Comparison of turbulence models for two-phase flow in a centrifugal separator

“…For the numerical implementation of U p , V p , W p in equations (1), an implicit scheme was used. After the formation of the quasiperiodic regime, the nonstationary fields were averaged [26,27].…”

Calculation methods for plate and beam elements of box-type structure of building

“…Let us compose the equations of motion for each plate and beam elements of the boxtype structure of a building [8][9][10]. Plate elements are considered to be thin elastic plates obeying the Kirchhoff-Love hypothesis.…”

“…. By virtue of this expression and taking into account (24), we obtain the general solution of the problem for bending plate elements in the following form [8][9][10]:…”