MATHEMATICAL MODEL OF THE INERTIA SWITCH 

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 switches are traditionally used in mobile vehicles for commutating the electric circuits of the engineering systems. Triggering of such devices takes place mainly when having taken integral along linear acceleration while the vehicle’s space motion. To integrate the linear acceleration, both magnetic induction and hydraulic dampers are customary used. In a number of cases the hydraulic dampers, simplifying design of inertia switchers, are preferred. Given work presents the results of development of the inertia switch design, its mathematical model: differential equations, describing motion of mobile design elements, and the initial motion conditions, as well. For differential equating as follows assumptions are taken: the liquid is incompressible; no account to inertia switch components variation in dimension due to environmental variation in temperature; no account to dumping liquid viscosity variation due to environmental temperature variation. Materials and methods. The major feature of inertiaswitch designed to distinguish it from similar inertia devices is its feasible actuation at acceleration along either of the two axial directions. The contact system switches from the initial state at releasing and following turning of the jumper strap. Design of the inertia switch enables reliable retention of the initial state of a contact system at any operation conditions of the mobile vehicles as well as fail-safe switching while vehicle motion during specified period of time (speedup, braking) with acceleration of no less than certain (specified) value. Presented results demonstrate possibility of development of the reliable and technologically effective inertia switch, designed for engineering systems of the independent mobile vehicles.

inertia switch, hydraulic damper, inertial body, contact system, mathematical model, differential equations

Kitaev V.N., Afanasyev R.L., Petrov M.V. Mathematical model of the inertia switch. Nadezhnost' i kachestvo slozhnykh sistem = Reliability and quality of complex systems. 2025;(2):71–79. (In Russ.). doi: 10.21685/2307-4205-2025-2-8