Improvement of Interior Ballistic Performance Utilizing Particle Swarm Optimization

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</svg> (m/s)</td><td align="center"><svg height="15.4" id="M100" style="vertical-align:-3.22278pt" version="1.1" viewbox="0 0 32.150002 15.4" width="32.150002" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
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</svg> (MPa)</td><td align="center"><svg height="11.825" id="M101" style="vertical-align:-3.135pt" version="1.1" viewbox="0 0 13.5 11.825" width="13.5" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
<g transform="matrix(.017,-0,0,-.017,.062,7.675)"><path d="M391 364q0 -28 -20.5 -53.5t-50 -43.5t-70 -34t-73.5 -25t-68 -17v-29q0 -48 20 -81t65 -33q73 0 157 76l16 -23q-107 -113 -221 -113q-21 0 -40.5 6.5t-39 22t-31.5 47t-12 75.5q0 69 33.5 139.5t95.5 114.5q77 55 143 55q42 0 69 -24.5t27 -59.5zM313 350
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<g transform="matrix(.012,-0,0,-.012,7.1,11.762)"><path d="M384 0h-275v27q67 5 81.5 18.5t14.5 68.5v385q0 38 -7.5 47.5t-40.5 10.5l-48 2v24q85 15 178 52v-521q0 -55 14.5 -68.5t82.5 -18.5v-27z" id="x31"></path></g>
</svg> (mm)</td><td align="center"><svg height="15.5125" id="M102" style="vertical-align:-3.135pt" version="1.1" viewbox="0 0 17.35 15.5125" width="17.35" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
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<g transform="matrix(.012,-0,0,-.012,10.963,15.45)"><path d="M384 0h-275v27q67 5 81.5 18.5t14.5 68.5v385q0 38 -7.5 47.5t-40.5 10.5l-48 2v24q85 15 178 52v-521q0 -55 14.5 -68.5t82.5 -18.5v-27z" id="x31"></path></g>
</svg> (Kg/dm<sup>3</sup>)</td><td align="center"><svg height="11.825" id="M103" style="vertical-align:-3.135pt" version="1.1" viewbox="0 0 13.5 11.825" width="13.5" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
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</svg> (mm)</td><td align="center"><svg height="15.5125" id="M104" style="vertical-align:-3.135pt" version="1.1" viewbox="0 0 17.35 15.5125" width="17.35" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
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<g transform="matrix(.012,-0,0,-.012,10.963,15.45)"><path d="M384 0h-275v27q67 5 81.5 18.5t14.5 68.5v385q0 38 -7.5 47.5t-40.5 10.5l-48 2v24q85 15 178 52v-521q0 -55 14.5 -68.5t82.5 -18.5v-27z" id="x31"></path></g>
</svg> (Kg/dm<sup>3</sup>)</td></tr><tr><td class="thead-hr" colspan="7"><hr/></td></tr><tr><td align="left">Experimental</td><td align="center">983.27</td><td align="center">344.3</td><td align="center">0.595</td><td align="center">0.695</td><td align="center">0.705</td><td align="center">0.057</td></tr><tr><td align="left">GA</td><td align="center">985.80</td><td align="center">347.2</td><td align="center">0.6086</td><td align="center">0.6105</td><td align="center">0.6933</td><td align="center">0.0608</td></tr><tr><td align="left">PSO</td><td align="center">992.52</td><td align="center">345.9</td><td align="center">0.6102</td><td align="center">0.7078</td><td align="center">0.7013</td><td align="center">0.0618</td></tr><tr class="table-tr"><td colspan="7"><hr class="tbody-hr"/></td></tr></table></td></tr></table>

Results of the different optimization techniques compared with the experimental date.

Mathematical Problems in Engineering

tab4

Table 4

Table 4: Improvement of Interior Ballistic Performance Utilizing Particle Swarm Optimization 