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.
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.
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.
Dynamic behavior of a high-rise structure is investigated in the paper taking into account linear and nonlinear strain and energy dissipation caused by internal friction in the building material under various kinematic effects. An algorithm and program have been developed for the dynamic calculation of high-rise axisymmetric structures under various dynamic effects. Unsteady oscillations of the high-rise axisymmetric structure represented by a one-dimensional model - a viscoelastic beam of the annular cross-section with a variable tilt of the generatrix and a variable thickness are considered. Dynamic behavior of a high-rise structure in the resonant mode under short-term pulsed effect, under prolonged pulsed effect, under the sinusoidal-damped effect, under real seismic impact is studied and the graphs of displacement changes over time of various points of the structures are plotted. It was found that the dynamic response of a high-rise structure is affected not only by the magnitude of the dynamic load but also by its frequency spectrum and duration. Under the impact of a frequency close to the natural vibration frequency of the structure, significant displacements occur, and, if the material does not possess dissipative properties, the structure could collapse, being in the resonant mode.
The article provides a detailed review of well-known publications devoted to studying the stress state and dynamic behavior of earth dams, taking into account the elastic and elastic-plastic properties of soil. To assess the stress-strain state of earth dams, considering the elastic-plastic properties of soil under the action of static loads, a mathematical model was developed using the principle of virtual displacements. A technique, algorithm, and computer programs were developed for estimating the stress state of dams using the finite element method and the method of variable elasticity parameters. A test problem was solved to assess the adequacy of the developed models and the reliability of the technique, algorithms, and computer programs. The stress-strain state of the Pskem earth dam, 195 m high, was studied using the developed models and calculation methods, taking into account the elastic-plastic properties of soil under the action of body forces and various levels of filling the reservoir with water. It was established that an account for the elastic-plastic properties of soil leads to a sharp change in the stress state of the dam, especially in the upper prism and in the core of the dam, and changes the intensity of normal stresses, which can lead to a violation of the integrity of the dam.
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