Development of a geometric model of a new method for delivering extinguishing substances to a distant fire zone

Leonid Kutsenko,Andrii Naidysh,Andrii Kalynovskyi,Victoria Semenova-Kulish,Olga Shoman,Sergii Nazarenko,Andrii Cherniavskyi,Oleksandr Polivanov,Volodymyr Vanin,Elizaveta Sivak

doi:10.15587/1729-4061.2020.209382

Abstract

A geometric model of a new method of delivering fire-extinguishing substances to a fire zone located at a considerable distance was offered. The idea of delivery is based on the mechanical action of throwing. To this end, a substance (e.g. extinguishing powder) is loaded in a hard shell made as a special container. After delivery by means of a launcher to a fire zone, the container has to release the substance which will promote fire extinguishing. The known method of remote delivery of extinguishing substances uses a pneumatic gun with a cylindrical container. During delivery, the cylinder must rotate around its axis to ensure flight stability. The cylinder is rotated by a special turbine when passing through the gun barrel. There are difficulties in regulating the distribution of compressed air flows during the turbine operation. In addition, the tightness of the pneumatic part of the gun should be monitored. The new delivery method uses a container in a form of two spaced loads similar to a sports dumbbell. The dumbbell motion is initiated by simultaneous action of explosion-generated pulses directed at each of its loads in a pre-calculated manner. This results in the rotational motion of the container. To describe the dynamics of the dumbbell motion, a Lagrangian was defined and a system of Lagrange differential equations of the second kind was set up and solved. Examples of modeling trajectories of the centers of masses of the dumbbell loads taking into account air resistance were given. The proposed method is planned to be a basis of a new fire extinguishing technology. This is evidenced by the new scheme of launching the dumbbell by means of explosion-generated pulses of charges of two pyro cartridges. The obtained results make it possible to estimate magnitudes of explosion-generated pulses necessary for throwing and corresponding distances of the dumbbell delivery

Highlights

Large-scale fires that have occurred in recent years have proved the need to rearm fire departments with qualitatively new equipment
This paper presents graph-analytical modeling of the dumbbell trajectory taking into account air resistance
It was possible to simulate the motion of a dumbbell taking into account air resistance based on a combination of results of solving two systems of differential equations, namely, the Lagrange equation of the second kind and equations of motion of a point mass thrown at an angle to the horizon

Summary

A DISTANT FIRE ZONE

Doctor of Technical Sciences, Professor Department of Descriptive Geometry, Engineering and Computer Graphics. National Technical University of Ukraine “Igor Sikorsky Kyiv Polytechnic Institute”. Doctor of Technical Sciences, Professor, Head of Department Department of Applied Mathematics and Information Technology. PhD, Associate Professor, Head of Department Department of Descriptive Geometry and Computer Modeling. National Aerospace University Kharkiv Aviation Institute Chkalova str., 17, Kharkiv, Ukraine, 61070 О. Doctor of Technical Sciences, Professor, Head of Department** V. Chernyshevska str., 94, Kharkiv, Ukraine, 61023 **Department of Geometric Modeling and Computer Graphics. National Technical University "Kharkiv Polytechnic Institute" Kyrpychova str., 2, Kharkiv, Ukraine, 61002.

Introduction

Literature review and problem statement

The aim and objectives of the study

Conclusions