Modeling of Flight of the Line Thrower Projectile

The actual problem of increasing the flight range of line thrower projectile which is a container with a line (thin rope) inside. The line leaves the container during the flight, i.e. the projectile has a variable mass. Mathematical model of the projectile flight is constructed using the Lagrange eq...

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Main Authors: Alexander K. Belyaev, Vladimir A. Piskunov, Tatiana V. Zinovieva
Format: Article
Language:English
Published: Shahid Chamran University of Ahvaz 2021-06-01
Series:Journal of Applied and Computational Mechanics
Subjects:
Online Access:https://jacm.scu.ac.ir/article_15978_b84c55ca15c77d8792a88a02b280f388.pdf
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author Alexander K. Belyaev
Vladimir A. Piskunov
Tatiana V. Zinovieva
author_facet Alexander K. Belyaev
Vladimir A. Piskunov
Tatiana V. Zinovieva
author_sort Alexander K. Belyaev
collection DOAJ
description The actual problem of increasing the flight range of line thrower projectile which is a container with a line (thin rope) inside. The line leaves the container during the flight, i.e. the projectile has a variable mass. Mathematical model of the projectile flight is constructed using the Lagrange equations of the second kind. The projectile is considered as a material particle, the line considered as an elastic thread with the tensile Cauchy strain. An approximation of the projectile flight trajectory is introduced in terms of three generalized coordinates. The dependence of the projectile’s flight distance on the projectile departure angle is constructed for several values of the tensile rigidity of the line.
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spelling doaj.art-9813d277112b4a9d8ce2739d37c03a3d2022-12-21T20:14:35ZengShahid Chamran University of AhvazJournal of Applied and Computational Mechanics2383-45362383-45362021-06-017Special Issue1070107610.22055/jacm.2020.32396.201115978Modeling of Flight of the Line Thrower ProjectileAlexander K. Belyaev0Vladimir A. Piskunov1Tatiana V. Zinovieva2Institute for Problems in Mechanical Engineering, Russian Academy of Sciences, Saint Petersburg, RussiaConcern Avrora scientific and production association JSC, Saint Petersburg, RussiaInstitute for Problems in Mechanical Engineering, Russian Academy of Sciences, Saint Petersburg, RussiaThe actual problem of increasing the flight range of line thrower projectile which is a container with a line (thin rope) inside. The line leaves the container during the flight, i.e. the projectile has a variable mass. Mathematical model of the projectile flight is constructed using the Lagrange equations of the second kind. The projectile is considered as a material particle, the line considered as an elastic thread with the tensile Cauchy strain. An approximation of the projectile flight trajectory is introduced in terms of three generalized coordinates. The dependence of the projectile’s flight distance on the projectile departure angle is constructed for several values of the tensile rigidity of the line.https://jacm.scu.ac.ir/article_15978_b84c55ca15c77d8792a88a02b280f388.pdfline throwervariable mass flightelastic threadlagrange equations
spellingShingle Alexander K. Belyaev
Vladimir A. Piskunov
Tatiana V. Zinovieva
Modeling of Flight of the Line Thrower Projectile
Journal of Applied and Computational Mechanics
line thrower
variable mass flight
elastic thread
lagrange equations
title Modeling of Flight of the Line Thrower Projectile
title_full Modeling of Flight of the Line Thrower Projectile
title_fullStr Modeling of Flight of the Line Thrower Projectile
title_full_unstemmed Modeling of Flight of the Line Thrower Projectile
title_short Modeling of Flight of the Line Thrower Projectile
title_sort modeling of flight of the line thrower projectile
topic line thrower
variable mass flight
elastic thread
lagrange equations
url https://jacm.scu.ac.ir/article_15978_b84c55ca15c77d8792a88a02b280f388.pdf
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