Evaluation of hazard for linear objects in case of launch vehicle failure in flight phase

1Hladkii, EH
1Yangel Pivdenne State Design Office, Dnipro, Ukraine
Space Sci. & Technol. 2019, 25 ;(4):22-28
https://doi.org/10.15407/knit2019.04.022
Publication Language: Russian
Abstract: 
Impact areas of failed launch vehicles (LV) cover territories with gas and oil mainlines, railways, transmission facilities, rivers, etc. Damage to such industrial objects as gas and oil pipelines in case of a crash of failed LV could result in disastrous effects. For example, damage and burst of gas mainline would result in leakage of transported natural gas with a subsequent high-power explosion and heavy fire. In calculations of safety, these objects should be considered as linear (one of their geometrical dimensions essentially exceeds the other), and they represent a particular case of an areal object (traditionally, safety at LV launch is considered for areal ground objects).
       The article presents the mathematical model of safety estimation for a mainline in case of LV contingency in flight. To estimate safety, the part of the pipeline within the failed LV impact area was considered as a set of individual rectilinear sections. Henceforth, a total hazard for a pipeline is obtained as the summation of risks of damage of its individual rectilinear sections. “Hazard” implies the probability of a drop of failed LV or its fragments on pipeline rectilinear section impact area. We have built the geometrical model and obtained mathematical expressions to estimate the risk of an individual pipeline rectilinear section damage. As an example, we took the procedure of the risk estimation for gas mainline “BukharaUral”, located within the impact area of Dnepr LV, that could be damaged in case of launch vehicle failure at the first stage of the flight phase. The mathematical model is universal and could be used to estimate the risk of damage of other linear objects within an impact area of failed launch vehicles.
Keywords: flight safety, impact areas of failed launch vehicles, launch vehicle, linear object, risk
References: 
1. Balaganskii I. A., Merzhievskii L. A. (2004). The impact of weapons and ammunition. Novosibirsk: NSTU [in Russian].
2. Hladkii E. H. (2015). Assessment procedure of the flight safety for launch vehicles using the geometric representation of the damage area in the form of a polygon. Space technology. Missile armaments, 3, 50—56 [in Russian].
3. Hladkii E. H., Perlik V. I. (2010). Mathematical models of risk assessment for ground object during launch vehicles flights. Space technology. Missile armaments, 2, 3—19 [in Russian].
4. ISO 14620-1:2008. Space systems. Safety requirements. Part 1: System safety.
5. Kompaniec E. P. (2010). Ballistic support of the launch vehicles starts. Dnepropetrovsk: Dnepropetrovsk national university [in Russian].
6. Pereverzev Y. S., Daniev U. F. (2004). Probability distributions and their application. Dnepropetrovsk: Institute of Technical Mechanics NASU and SSAU [in Russian].
7. Privalov I. I. (1966). Analytical geometry. Moscow: Nauka [in Russian].
8. Adushkin V. V., Kozlov S. P., Petrov A. V. (Eds). (2000). Environmental problems and rocket & space technology exposure hazards. Moscow: Ankil.
9. Easten and Western Range Safety User Requirements Manual. (1997). Vol. 1 EWR 127-1. 10. United States Code of Federal Regulations, Part 420 and Part 417 FAA