Abstract
In the article settlement models of the buildings and constructions having periodic (regular) structure with a masses concentrated in nods are considered. Analysis method for finding modal frequencies of free fluctuations for step-periodic buildings are shown.
Highlights
Yj expThe approach to a research of free and forced vibration of design models stated below in the form of chains of oscillators with a finite number of the masses (Fig. 3) can be used as for studying of the fluctuations caused by translational motions of masses along any of axes 0x 0 y 0z , and for studying of fluctuations in the course of which masses makes torsional oscillation around the same axes
Let's consider design models of the multi-storey buildings and constructions having step and periodic structure
Where rn'm', Rn' p - amplitude values of reactions n - oh the communications caused by single harmonious movement of communication m and p - oh the set external harmonious loading;Yn' - amplitude value of unknown harmonious movement in the direction n' of communication
Summary
The approach to a research of free and forced vibration of design models stated below in the form of chains of oscillators with a finite number of the masses (Fig. 3) can be used as for studying of the fluctuations caused by translational motions of masses along any of axes 0x 0 y 0z , and for studying of fluctuations in the course of which masses makes torsional oscillation around the same axes. Let's consider free fluctuations of the design model represented in fig. 3. Let's write down the allowing system of differential equations in the following look. Let's write down the allowing system of differential equations in the following look The solution of this system can be found in a look z(t) An exp i t n 1,2,..., k
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