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#### Calculation Method Of Buildings For Seismic Resistance Using The Experimental Planning Theory

##### Abstract

Vibrations from earthquakes are transmitted in the form of seismic waves. They are the cause of the destruction of structures of buildings and structures. Consequently, great attention is paid to the calculation of structural schemes that take into account the seismic effects on the building during the earthquake, which is characterized by vibrational motion of the soil and creates a kinematic excitation of vibrations in the object under consideration. During the earthquakes there is a complexity of the linkages between building behavior, and ultimately, its destruction occurs, the scale of which depends on the duration, intensity, spectral composition and other parameters of soil motion. As a rule, calculation of buildings and structures for seismic effects is performed in the frequency domain by the linear spectral method with the determination of maximum seismic loads from the response spectra depending on the frequencies and forms of natural vibrations of the structure. The most widespread way of representing soil vibrations is use of accelerograms that have passed earthquakes in the numerical analysis of the seismic reaction of nonlinear systems, in the case when the use of the reaction spectra in direct form cannot be used. The authors of this article propose a new method for calculating earthquake resistance. It is the use of the dynamic method for calculating buildings and structures using the theory of experimental design. The article presents a methodology for determining the dependence of the amplitude of oscillations in the upper level of a structure on stiffness characteristics. The dependence of the amplitude on the stiffness characteristics was obtained using a simulation experiment on the mathematical model. It was considered a method of determining the amplitude of oscillations for a system with three degrees of freedom (three masses), but it can be applied to any number of degrees of freedom. Use of the model of seismic effects based on accelerograms which implemented as random processes in modeling seismic vibrations of the soil, is possible to predict the quantitative parameters of expected earthquakes and take into account the regional nature of seismic effects. During the simulation experiment, the theory of experimental design was used, a new method for calculating buildings and structures for earthquake resistance was proposed, and historical aspects of the development of the theory of earthquake resistance were described.

Volume 12 | Issue 6

Pages: 808-817