MATHEMATICAL MODEL OF THE PIERCING MECHANISM 

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 piercing mechanism (piercer) developed is a device of blast initiation for removing ice obstruction in rivers during spring freshet with chaotic piles of formless blocks of ice, when impact accelerations at barriers contact are equiprobable in the line at a solid angle Ω = 2π steradians, i.e. in a hemisphere. Materials and methods. Major feature of developed design of the piercing mechanism to differ it from similar devices is use of magnetic system, increasing the speed of striker acceleration at the end of its travel thanks to additional acceleration of the striker by the magnet system. Kinetic energy of the striker spent for cylinder spring compression is compensated by the magnetic system, enabling reliable initiation of a blasting cap. Such additional attraction depends neither on rate of the contact of the body with obstacle, consequently nor on the value of initiated acceleration, and so the piercing mechanism will snap into action both at high and low rates of the contact with the obstacle. Ball-form of the inertial body as well as its location between flat face of the striker and conic surface of the package provide transfer of the ball inertia to axial striker both at its axial and lateral travel ( at presence of appropriate impact accelerations). Use of rolling contact bearing in the form of ball racer eliminates sliding friction of the inertial body (sphere) and guarantee reliable initiation of the piercing mechanism at a contact of the device with an obstacle with low rate at different angle (with impact accelerations at any of side directions). Results and conclusions. Submitted work demonstrates possibility ofdesigning of reliable and technologically effective piercing mechanism for the contact with an obstacle of complex form at different angles, and at low rate.

piercing mechanism, inertial body, reliable response, spatial response diagram, mathematical model, differential equation

Kitaev V.N., Afanasyev R.L., Petrov M.V. Mathematical model of the piercing mechanism. Nadezhnost' i kachestvo slozhnykh sistem = Reliability and quality of complex systems. 2025;(2):56–62. (In Russ.). doi: 10.21685/2307-4205-2025-2-6