MATHEMATICAL MODEL OF THE INERTIA CLOSER 

Vladimir N. Kitaev, Head of the design department, Russian Federal Nuclear Center – Zababakhin All-Russian Research Institute of Technical Physics (13 Vasilyeva street, Snezhinsk, Russia), E-mail: kb@vniitf.ru
Roman L. Afanasyev, Deputy head of department, Russian Federal Nuclear Center – Zababakhin All-Russian Research Institute of Technical Physics (13 Vasilyeva street, Snezhinsk, Russia), E-mail: kb2@vniitf.ru
Maksim V. Petrov, Engineer, Russian Federal Nuclear Center – Zababakhin All-Russian Research Institute of Technical Physics (13 Vasilyeva street, Snezhinsk, Russia), E-mail: kb2@vniitf.ru

Background. The inertia closer is designed for the electric circuit commutation when initiating the mobile item (vehicle) security systems. Materials and methods. The closer package with base of a dielectric material contains the inertial body in the form of revolution body, applied by spring to the top of the package; the body can move and/or tilt to contact electric interfaces, fixed on the base. The inertial body has a flange to tight the body with a spring to contact with inner and end surfaces of the top package. The arrangement has in addition an extra-contact in the initial state bitten about both the face of the inertial body and the base surface; the contact may be in the form of a disk with elastic radial blades, bending when the inertial body moving and/or tilting. The contact with radial blades reduces effort necessary for its elastic deformation by the inertial body, increasing hence the flexure of radial blades to prolong closing duration.Elastic blades in the electrical circuit make longer the close-contact state after the inertial closer triggering, since deceleration after the impact doesn’t result in breaking contact due to reverse motion of the inertial body moved by the spring to the initial state. This guarantees reliable triggering of the security systems even at impact accelerations of short duration. The flange of the inertial body, making contact of the latter with inner and end surfaces of top package, provides device operability under transverse acceleration through inclination of the inertial body. For sensitivity diagrams adjustment to adapt the inertia closer to different application and reduce activation errors, concerning amplitude and impact acceleration duration, the inertial body has holes at the end surfaces, which depth are specified by assembling and settings of the closer. To gain desired lengthwise and crosswise sensitivity the inertial body is of split-type with wear bushing of varying weight, inserting coaxially through central threaded hole. Results and conclusions. Shown work demonstrates possibility of development of the reliable and technologically effective inertial closer for failsafe operation of mobile vehicles’ security system.

inertia closer, inertial body, reliable triggering, spatial triggering diagram, mathematical model, differential equations

Kitaev V.N., Afanasyev R.L., Petrov M.V. Mathematical model of the inertia closer. Nadezhnost' i kachestvo slozhnykh sistem = Reliability and quality of complex systems. 2025;(1):66–71. (In Russ.). doi: 10.21685/2307-4205-2025-1-8