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Preprosta simulacija streljanja z lokom prek formalizma nelinearne deformacije nosilca
ID Ličer, Teodor (Author), ID Brojan, Miha (Mentor) More about this mentor... This link opens in a new window

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Abstract
V zaključnem delu obravnavamo raven nosilec, ki ga s pomočjo vrvice napnemo v lok. S tem vanj vnesemo deformacijsko (potencialno) energijo, ki ustreza specifični nadkritični energiji pri uklonu nosilca. Pri streljanju s puščico in naknadnem napenjanju loka predpostavimo, da se v kinetično energijo puščice pretvori celotna razlika med potencialno energijo končno napetega loka in potencialno energijo osnovno napetega loka. Numerično smo izračunali premično stanje loka, kot zasuka na koncih krakov loka, silo napenjanja loka, silo v vrvici, potencialno energijo in kinetično energijo v odvisnosti od kota med napeto vrvico in zveznico med krakoma loka. V programskem jeziku Wolfram Mathematica smo naredili simulacijo leta puščice v odvisnosti od naštetih parametrov, pri čemer smo upoštevali še aerodinamični upor, vpadni kot izstrelitve, višino izstrelitve in maso puščice. Izračunali smo domet, najvišjo višino in čas leta puščice. Razvili smo tudi algoritem za izračun parametrov, ki so potrebni za zadetek v tarčo.

Language:Slovenian
Keywords:potencialna energija, kinetična energija, nelinearna deformacija, vitki nosilci, aerodinamični upor
Work type:Final paper
Typology:2.11 - Undergraduate Thesis
Organization:FS - Faculty of Mechanical Engineering
Place of publishing:Ljubljana
Publisher:[T. Ličer]
Year:2022
Number of pages:XIII, 32 f.
PID:20.500.12556/RUL-140193 This link opens in a new window
UDC:539.3+519.62(043.2)
COBISS.SI-ID:122734595 This link opens in a new window
Publication date in RUL:13.09.2022
Views:305
Downloads:55
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Secondary language

Language:English
Title:A simple simulation of bow shooting using the formalism of nonlinear beam theory
Abstract:
The final thesis deals with a straight beam that is bent into a bow by a string. Thus, deformation (potential) energy is accumulated within the beam, which corresponds to a specific post-critical buckling energy. When drawing and shooting an arrow it is assumed that all the kinetic energy of an arrow comes from the difference between the potential energy of a drawn bow and the potential energy of a braced bow. Deflection of a bow, angle of deflection at tips of the limbs, drawing force, force in the string, potential energy, and kinetic energy depending on the angle between the string and line connecting bow tips, are all calculated numerically. A simple simulation of the flight of an arrow was made in the programming language Wolfram Mathematica. An aerodynamic drag, the initial angle of attack, the elevation of shooting, and the mass of an arrow, were also considered in the stimulation. The range, maximum height, and duration of the flight of an arrow were calculated. An algorithm for calculating parameters to hit a target was developed.

Keywords:potential energy, kinetic energy, nonlinear deformation, slender beams, aerodynamic drag

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