Abstract
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.
Highlights
IntroductionStructures such as water retaining dams, dykes, water reservoirs, etc., built and operated in seismically active regions of the Republic of Uzbekistan, are subjected to loads of both static (gravitational forces, natural external loads, etc.) and dynamic (seismic) nature
Structures such as water retaining dams, dykes, water reservoirs, etc., built and operated in seismically active regions of the Republic of Uzbekistan, are subjected to loads of both static and dynamic nature
This article proposes a method for calculating the structures for seismic resistance on the basis of a continuum plate model developed in the framework of the bimoment theory [8–16], taking into account the spatial stress-strain state.If to consider the law of nonlinearity of displacements distribution in the cross-sections of the plate, in addition to tensile and shear forces, bending and torsional moments, there appear the additional force factors, called the bimoments.Among numerous objects of study in mechanics of a
Summary
Structures such as water retaining dams, dykes, water reservoirs, etc., built and operated in seismically active regions of the Republic of Uzbekistan, are subjected to loads of both static (gravitational forces, natural external loads, etc.) and dynamic (seismic) nature. One of the important tasks of modern mechanics and seismic stability of structures is the development of universal models of a building that adequately describe its spatial behavior. To represent the values of dynamic characteristics of the plate model of a building, the following formula obtained in [8] is used; it connects the first natural frequency of the plate with mechanical characteristics of material: Ebd bd pl. The equations of longitudinal oscillations of a thick plate [9-11], built with internal forces and bimoments within the framework of the spatial theory of elasticity, are taken as the equation of motion of a building under seismic action directed along the longitudinal direction, and are written in the following form. The equations of motion for determining the displacements of external longitudinal walls, obtained by meeting the boundary conditions on the faces of the plate z h and z h using the method of displacements expansion into the Maclaurin infinite power series, are constructed in [9-12] in the form: W
Sign-in/Register to view highlights & summary Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
