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Modeling of Flight of the Line Thrower Projectile | ||
| Journal of Applied and Computational Mechanics | ||
| مقاله 7، دوره 7، Special Issue، شهریور 2021، صفحه 1070-1076 اصل مقاله (4.74 M) | ||
| نوع مقاله: Special Issue Paper | ||
| شناسه دیجیتال (DOI): 10.22055/jacm.2020.32396.2011 | ||
| نویسندگان | ||
| Alexander K. Belyaev1؛ Vladimir A. Piskunov2؛ Tatiana V. Zinovieva* 1 | ||
| 1Institute for Problems in Mechanical Engineering, Russian Academy of Sciences, Saint Petersburg, Russia | ||
| 2Concern Avrora scientific and production association JSC, Saint Petersburg, Russia | ||
| چکیده | ||
| 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. | ||
| کلیدواژهها | ||
| Line thrower؛ Variable mass flight؛ Elastic thread؛ Lagrange equations | ||
| مراجع | ||
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[1] Belyaev, A.K., Irschik, H., Dynamics of mechanical systems with variable mass, Springer Wien Heidelberg New York Dordrecht London, 2014. [2] Eke, F.O., Mao, T.C., On the dynamics of variable mass systems, International Journal of Mechanical Engineering Education, 30 (2), 2002, 123-137. [3] Belyaev, A.K., Irschik, H., Krommer, M., Mechanics and model-based control of advanced engineering systems, Springer Wien New York, 2014. [4] Pesce, C.P., Tannuri, E.A., Casetta, L., The Lagrange equation for systems with mass varying explicitly with position: some applications to offshore engineering, Journal of the Brazilian Society of Mechanical Science and Engineering, 28, 2006, 496-504. [5] Casetta, L., Pesce, C.P., The inverse problem of Lagrangian mechanics for Meshchersky’s equation, Acta Mechanica, 225, 2014, 1607-1623. [6] Casetta, L., Pesce, C.P., A brief note on the analytical solution of Meshchersky’s equation within the inverse problem of Lagrangian mechanics, Acta Mechanica, 226(7), 2015, 2435-2439. [7] Cveticanin, L., Kovacic, I., On the dynamics of bodies with continual mass variation, Journal of Applied Mechanics, 74, 2007, 810-815. [8] Cveticanin, L., Djukic, Dj., Dynamic properties of a body with discontinual mass variation, Nonlinear Dynamics, 52, 2008, 249-261. [9] Cveticanin, L., Dynamics of Bodies with Time-Variable Mass, Springer, 2015. [10] Calkin, M.G., March R.H., The dynamics of a falling chain, American Journal of Physics, 57(2), 1989, 154-157. [11] Calkin, M.G., March R.H., The dynamics of a falling chain: II, American Journal of Physics, 57(2), 1989, 157-159. [12] Irschik, H., Holl, H.J., The equations of Lagrange written for a non-material volume, Acta Mechanica, 153, 2002, 231-248. [13] Irschik, H., Holl, H.J., Mechanics of variable-mass systems – part 1: balance of mass and linear momentum, Applied Mechanics Review, 57(2), 2004, 145-160. [14] Casetta, L., Pesce, C.P., On the generalized canonical equations of Hamilton for a time-dependent mass-particle, Acta Mechanica, 223(12), 2012, 2723-2726. [15] Chulkin S.G., Zinovieva T.V., Piskunov V.A., Fomichov A.B., Influence of design parameters on the flight distance of shell of marine pneumatic life saving line-thrower (in Russian), Marine Intellectual Technologies, 1(43), 2019, 60-68. [16] Faravelli, L., Cable-Stayed Bridges: A Monitoring Challenge, Dynamics and Control of Advanced Structures and Machines, 2017, 161-168. [17] Faravelli, L., Ubertini, F., Nonlinear State Observation for Cable Dynamics, Journal of Vibration and Control, 15(7), 2009, 1049-1077. [18] Casciati, F., Casciati, S., Elia, L., and Faravelli, L., Tension estimates in cable stayed bridges, International Conference on Performance-based and Life-cycle Structural Engineering, Brisbane, QLD, Australia, 9-11 December 2015, Brisbane, QLD, Australia: School of Civil Engineering, The University of Queensland, 2015. [19] Lurie, A.I., Analytical mechanics, Springer-Verlag, Berlin-Heidelberg, 2002. [20] Eliseev, V.V., Mechanics of Deformable Solids (in Russian), St. Petersburg, Polytechnic University Press, 2003. [21] Loitsyanskii, L.G., Mechanics of liquids and gases, Pergamon Press, 1966. [22] Aleshkevich, V.А., Dedenko L.G., Karavaev V.A., General physics course. Mechanics (in Russian), Fismathlit, 2011. [23] Borwein, J.M., Skerrit, M.B., An introduction to modern mathematical computing: with Mathematica, Vol. XVI, Springer, 2012 | ||
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