Review article

Calculation and theoretical evaluation of the Yu. D. Cherepinsky kinematic supports efficiency with consideration of their parameters

UDC: 

699.841

DOI: 

10.23968/1999-5571-2022-19-1-38-47

Pages: 

38-47

Annotation: 

The paper presents the equations of the oscillations of seismic-protected object located on the Yu. D. Cherepinsky kinematic support obtained using the Lagrange 1-st kind method. Previously, these equations were obtained by a number of authors using the Lagrange 2-nd kind method. Using the Lagrange1st kind method allows giving the components of the equations a transparent physical meaning. The support model used assumes that the rolling surface of the support, as well as the support itself, remain rigid during oscillations. With small oscillations, the obtained equation can be reduced to the linear one with accuracy to the second order terms of small motion relocations and velocity.The equation presenting the Yu. D. Cherepinsky support is formed as a stochastic model. External loads are set in the form of an ensemble of random seismic impacts. It is shown that during the design analysis, situations are established when the Yu. D. Cherepinsky kinematic supports are effective seismic protection.

Authors: 

Faqiri A. Saint Petersburg State University of Architecture and Civil Engineering St. Petersburg, Russia

Rutman Yu. L. Saint Petersburg State University of Architecture and Civil Engineering St. Petersburg, Russia

Ostrovskaya N. V. Saint Petersburg State University of Architecture and Civil Engineering St. Petersburg, Russia

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