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.
The article is devoted to improving the model of a box-like structure of a building, taking into account the forces and moments in the zones of contact interaction of beam and plate elements. The equations of motion of the box-like elements, the boundary conditions in the base of the box and the contact conditions between the elements of the box are given; the graphs of panels and beams displacements are constructed.
This paper presents the results of the assessment and prediction of the dynamic behavior of earth dams of various heights, taking into account large strains (geometric nonlinearity) and inhomogeneous features of structures under multi-component kinematic effects. A mathematical model, methodology and algorithm for estimating dynamic behavior of earth dams taking into account inhomogeneous features of structures and large strains in spatial and plane statements are given. Dynamic behavior of the models of the Pachkamar, Gissarak and Nurek earth dams has been studied taking into account large strains and inhomogeneous features of structures in various pre-resonant and resonant modes under multi-component kinematic effect. A number of new effects associated with the manifestation of large strains in the structure under various dynamic influences are revealed.
The problem of forced oscillations of a spatial box of a building is considered in the paper; it consists of interacting beams and rectangular panels under dynamic effect set by base displacement according to a sinusoidal law. The problem is solved by the finite difference method. Numerical results of displacements, stresses in the risk areas of the building box are obtained.
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