The effect of distance and dimensions of magnets on nonlinear behavior of piezomagnetoelastic bimorph energy harvester

Abstract

<span style="background: white; color: black; font-family: 'Times New Roman','serif'; font-size: 10pt; mso-bidi-font-size: 9.0pt; mso-fareast-font-family: 'Times New Roman'; mso-themecolor: text1; mso-ansi-language: EN-US; mso-fareast-language: EN-US; mso-bidi-language: AR-SA;">This paper presents </span><span style="color: black; font-family: 'Times New Roman','serif'; font-size: 10pt; mso-bidi-font-size: 9.0pt; mso-fareast-font-family: 'Times New Roman'; mso-themecolor: text1; mso-ansi-language: EN-US; mso-fareast-language: EN-US; mso-bidi-language: FA;">the effect of </span><span style="color: black; font-family: 'Times New Roman','serif'; font-size: 10pt; mso-bidi-font-size: 9.0pt; mso-fareast-font-family: 'Times New Roman'; mso-themecolor: text1; mso-ansi-language: EN-US; mso-fareast-language: EN-US; mso-bidi-language: AR-SA;">distance and dimensions of magnets</span><span style="background: white; color: black; font-family: 'Times New Roman','serif'; font-size: 10pt; mso-bidi-font-size: 9.0pt; mso-fareast-font-family: 'Times New Roman'; mso-themecolor: text1; mso-ansi-language: EN-US; mso-fareast-language: EN-US; mso-bidi-language: AR-SA;">on chaotic behavior and voltage level of a vibratory piezo-magneto-elastic bimorph energy harvesting system. The bimorph model comprises two iezoelectric<br />layers on a cantilever base structure with one tip magnet as well as two external magnets. The mathematical model is extracted by using distributed model. </span><span style="color: black; font-family: 'Times New Roman','serif'; font-size: 10pt; mso-bidi-font-size: 9.0pt; mso-fareast-font-family: 'Times New Roman'; mso-themecolor: text1; mso-ansi-language: EN-US; mso-fareast-language: EN-US; mso-bidi-language: AR-SA;">The validity of the extracted model verified by previously published experimental results.</span><span style="background: white; color: black; font-family: 'Times New Roman','serif'; font-size: 10pt; mso-bidi-font-size: 9.0pt; mso-fareast-font-family: 'Times New Roman'; mso-themecolor: text1; mso-ansi-language: EN-US; mso-fareast-language: EN-US; mso-bidi-language: AR-SA;">In order to study the nonlinear dynamic of the bimorph, bifurcation diagram, </span><span style="color: black; font-family: 'Times New Roman','serif'; font-size: 10pt; mso-bidi-font-size: 9.0pt; mso-fareast-font-family: 'Times New Roman'; mso-themecolor: text1; mso-ansi-language: EN-US; mso-fareast-language: EN-US; mso-bidi-language: FA;">phase plane portrait, time history response, Poincare map, power spectra diagram, and maximum Lyapunov exponents are used</span><span style="background: white; color: black; font-family: 'Times New Roman','serif'; font-size: 10pt; mso-bidi-font-size: 9.0pt; mso-fareast-font-family: 'Times New Roman'; mso-themecolor: text1; mso-ansi-language: EN-US; mso-fareast-language: EN-US; mso-bidi-language: AR-SA;">. In the bifurcation diagrams, the control parameters are the distances and dimensions of the magnets. It is shown that in the specific region of the control parameters, </span><span style="color: black; font-family: 'Times New Roman','serif'; font-size: 10pt; mso-bidi-font-size: 9.0pt; mso-fareast-font-family: 'Times New Roman'; mso-themecolor: text1; mso-ansi-language: EN-US; mso-fareast-language: EN-US; mso-bidi-language: AR-SA;">the sub-harmonic or super-harmonic behavior has minimum harvested voltage and irregular regions has maximum voltage. Also specific dimensions of tip magnet can influence greatly the dynamic behavior as well as output voltage<span style="background: white;">. So these obtained results can give good insights about parameters identification and realization of the nonlinear behavior to reach the broadband higher harvested voltage of the system</span></span>