About one way to integrate the equations of seismic vibrations of seismically isolated structures
https://doi.org/10.21822/2073-6185-2024-51-2-190-196
Abstract
Objective. The purpose of the study is to develop a new method of analyzing seismic vibrations of seismically isolated structures.
Method. The structure is modeled by a system with one degree of freedom with a nonlinear stiffness characteristic. In the absence of damping an analytical solution of oscillation equations on the phase plane is obtained. In this case the connection between speeds and displacements is accurate, and the law of uniformly variable motion is used to calculate displacements.
Result. To take into account the attenuation, the law of change in mechanical energy at each integration interval is used.
Conclusion. An example of calculating a seismically isolated system with a sliding belt and a spring with a linearly varying characteristic of stiffness is considered. The influence of dry friction and viscous damping on the displacement and acceleration of the system is analyzed.
About the Authors
A. A. Dolgaya
JSC Transmost
Russian Federation
Russian Federation
Anjelika А. Dolgaya, Engineer
1 Podezdnoy lane, St. Petersburg 190013
H. R. Zainulabidova
Daghestan State Technical University
Russian Federation
Russian Federation
Hanzada R. Zainulabidova, Cand. Sci. (Eng.), Assoc. Prof, Head Department of Architecture
70 I. Shamil Ave., Makhachkala 367026
A. S. Mozzhukhin
Emperor Alexander I St. Petersburg State Transport University (PGUPS)
Russian Federation
Russian Federation
Aleksey S. Mozzhukhin, Postgraduate Student, Department of Mechanics and Strength of Materials and Structures
111 Fontanka River Embankment, St. Petersburg 190068
Sh. Sh. Nazarova
Emperor Alexander I St. Petersburg State Transport University (PGUPS)
Russian Federation
Russian Federation
Shokhista Sh. kizi Nazarova, Postgraduate Student, Department of Mechanics and Strength of Materials and Structures
111 Fontanka River Embankment, St. Petersburg 190068
A. A. Nazarov
Emperor Alexander I St. Petersburg State Transport University (PGUPS)
Russian Federation
Russian Federation
Abdusattor A. Nazarov, Postgraduate Student, Department of Mechanics and Strength of Materials and Structures
111 Fontanka River Embankment, St. Petersburg 190068
G. V. Sorokina
Emperor Alexander I St. Petersburg State Transport University (PGUPS)
Russian Federation
Russian Federation
Galina V. Sorokina, Cand. Sci. (Eng.), Assoc. Prof, Department of Mechanics and Strength of Materials and Structures
111 Fontanka River Embankment, St. Petersburg 190068
A. M. Uzdin
Emperor Alexander I St. Petersburg State Transport University (PGUPS)
Russian Federation
Russian Federation
Alexander M. Uzdin, Dr. Sci. (Eng.), Prof., Department of Mechanics and Strength of Materials and Structures
111 Fontanka River Embankment, St. Petersburg 190068
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Review
For citations:
Dolgaya A.A., Zainulabidova H.R., Mozzhukhin A.S., Nazarova Sh.Sh., Nazarov A.A., Sorokina G.V., Uzdin A.M. About one way to integrate the equations of seismic vibrations of seismically isolated structures. Herald of Dagestan State Technical University. Technical Sciences. 2024;51(2):190-196. (In Russ.) https://doi.org/10.21822/2073-6185-2024-51-2-190-196
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