Electromechanical Model of Coupling Spring Piezoelectric Oscillator with Loading

<div>The influence factor <svg height="6.1673pt" id="M186" style="vertical-align:-0.2063904pt" version="1.1" viewbox="-0.0498162 -5.96091 4.9929 6.1673" width="4.9929pt" 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="M352 391C352 416 319 448 267 448C236 448 173 423 147 400C107 364 96 332 96 304C96 248 143 210 193 181C241 153 258 124 258 100C258 72 232 38 184 38C151 38 107 66 81 108C77 114 64 116 55 111C34 99 23 84 23 65C23 29 81 -12 134 -12C220 -12 325 61 325 141C325 184 297 215 234 256C194 282 161 309 161 346C161 380 188 401 217 401C255 401 279 380 301 353C308 344 313 341 325 347C341 355 352 371 352 391Z"></path></g></svg> varies with the length ratio and thickness ratio of the piezoelectric film to the substrate when modulus ratio <svg height="14.7625pt" id="M187" style="vertical-align:-5.47417pt" version="1.1" viewbox="-0.0498162 -9.28833 60.1056 14.7625" width="60.1056pt" 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Mathematical Problems in Engineering

fig6

Figure 6

Figure 6: Electromechanical Model of Coupling Spring Piezoelectric Oscillator with Loading 