Advances in Materials Science and Engineering / 2022 / Article / Tab 3 / Research Article
Investigation of Nonlinear Vibrational Analysis of Circular Sector Oscillator by Using Cascade Learning Table 3 Comparison of approximate solutions obtained by the proposed algorithm for different cases of scenarios 2 and 3 of angular displacement of a homogenous circular sector.
Case I Case II Case III Case I Case II Case III t Numerical CNN-BLMA Numerical CNN-BLMA Numerical CNN-BLMA Numerical CNN-BLMA Numerical CNN-BLMA Numerical CNN-BLMA 0 0.392699082 0.392685093 0.392699082 0.392670786 0.392699082 0.392661944 0.39269908 0.392624275 0.39269908 0.39259210 0.39269908 0.39256229 10 0.083388890 0.083389783 −0.053232122 −0.053235250 −0.151961836 −0.151961785 −0.36749090 −0.367653662 −0.36374462 −0.36345803 −0.22287067 −0.22264354 20 −0.358208978 −0.358210302 −0.378788375 −0.378796623 −0.278995466 −0.279004381 0.29461331 0.294685021 0.28024739 0.28022323 −0.14975320 −0.14978926 30 −0.234800091 −0.234800409 0.155649427 0.155648690 0.363640049 0.363652579 −0.18251243 −0.182477435 −0.15297185 −0.15299577 0.38443195 0.38481916 40 0.260262179 0.260262109 0.337907757 0.337907826 −0.000819025 −0.000819677 0.04540274 0.045441209 0.00077900 0.00061557 −0.28550774 −0.28569189 50 0.343613202 0.343612501 −0.246351630 −0.246347082 −0.363030749 −0.363041240 0.09803384 0.098023706 0.15154292 0.15147925 −0.06938614 −0.06961510 60 −0.115291291 −0.115290537 −0.272637949 −0.272634926 0.280132157 0.280142714 −0.22786478 −0.227850757 −0.27917225 −0.27905960 0.35986908 0.35952351 70 −0.391351734 −0.391304302 0.318824563 0.318825376 0.150454989 0.150457157 0.32678376 0.326762802 0.36317118 0.36298554 −0.33516516 −0.33536112 80 −0.050882422 −0.050882087 0.187321504 0.187318255 −0.392695353 −0.392577931 −0.38266277 −0.382575699 −0.39269606 −0.39197161 0.01440356 0.01442215 90 0.370322679 0.370323421 −0.368151155 −0.368156176 0.153465671 0.153473754 0.38920766 0.389280863 0.36431245 0.36406319 0.31975532 0.32062675 100 0.207666340 0.207662784 −0.087977218 −0.087990333 0.277853197 0.278105162 −0.34571116 −0.345711854 −0.28131805 −0.28162897 −0.37007441 −0.37007000