Instantaneous Modal Parameter Identification of Linear Time-Varying Systems Based on Chirplet Adaptive Decomposition

<table class="table-group" id="tab2"><tr><td><table class="table"><tr><td class="thead-hr" colspan="4"><hr/></td></tr><tr class="thead"><td class="align_left">RMSE</td><td class="align_center">Mode</td><td class="align_center">Morlet</td><td class="align_center">GLCT</td></tr><tr><td class="thead-hr" colspan="4"><hr/></td></tr><tr><td class="align_left" rowspan="3">Instantaneous frequency</td><td class="align_center">1st</td><td class="align_center">0.306</td><td class="align_center">0.195</td></tr><tr><td class="align_center">2nd</td><td class="align_center">1.882</td><td class="align_center">0.230</td></tr><tr><td class="align_center">3rd</td><td class="align_center">0.599</td><td class="align_center">0.331</td></tr><tr><td class="align_left" colspan="4"><hr/></td></tr><tr><td class="align_left">RMSE</td><td class="align_center">Mode</td><td class="align_center">Time-domain algorithm</td><td class="align_center">Energy algorithm</td></tr><tr><td class="align_left" colspan="4"><hr/></td></tr><tr><td class="align_left" rowspan="3">Instantaneous damping ratio</td><td class="align_center">1st</td><td class="align_center"><span style="width: 64.653ptpx;"><svg height="11.9413pt" id="M137" style="vertical-align:-0.3499002pt" version="1.1" viewbox="-0.0498162 -11.5914 64.653 11.9413" width="64.653pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"><g transform="matrix(.013,0,0,-0.013,0,0)"><path d="M285 378C315 398 338 416 353 432C373 451 384 474 384 503C384 579 325 635 236 635H235C182 635 136 610 108 579L65 516L85 496C110 533 150 575 205 575C258 575 300 543 300 481C300 407 232 369 141 339L147 310C163 315 188 321 211 321C268 321 338 284 338 192C338 94 288 40 217 40C160 40 119 68 93 91C85 98 77 97 69 91C60 84 47 71 46 58C44 46 48 35 62 22C75 10 116 -12 162 -12C234 -12 424 62 424 224C424 297 373 359 285 376V378Z"></path></g><g transform="matrix(.013,0,0,-0.013,6.24,0)"><path d="M113 -12C146 -12 170 11 170 46C170 78 146 103 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575 300 543 300 481C300 407 232 369 141 339L147 310C163 315 188 321 211 321C268 321 338 284 338 192C338 94 288 40 217 40C160 40 119 68 93 91C85 98 77 97 69 91C60 84 47 71 46 58C44 46 48 35 62 22C75 10 116 -12 162 -12C234 -12 424 62 424 224C424 297 373 359 285 376V378Z"></path></g><g transform="matrix(.013,0,0,-0.013,6.24,0)"><path d="M113 -12C146 -12 170 11 170 46C170 78 146 103 114 103S58 78 58 46C58 11 82 -12 113 -12Z"></path></g><g transform="matrix(.013,0,0,-0.013,9.204,0)"><path d="M244 635C114 635 38 519 38 422C38 317 111 240 217 240C236 240 255 244 277 256L345 292C311 140 203 39 59 15L64 -15C89 -15 150 -5 204 17C339 72 440 202 440 386C440 521 368 635 244 635ZM228 602C326 602 352 479 352 390C352 370 351 347 348 324C327 308 293 296 258 296C174 296 124 369 124 458C124 517 152 602 228 602Z"></path></g><g transform="matrix(.013,0,0,-0.013,15.446,0)"><path d="M456 178V225H360V632H320C217 496 115 347 20 206V178H280V106C280 40 276 34 189 27V0H445V27C364 34 360 39 360 106V178H456ZM280 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<div>Errors of identification results of instantaneous frequency.</div>

Shock and Vibration

tab2

Table 2

Table 2: Instantaneous Modal Parameter Identification of Linear Time-Varying Systems Based on Chirplet Adaptive Decomposition 