Nonlocal Couple Stress-Based Exponential Shear Flexible Plate Model to Study Nonlinear Feedback of Impulsive Excited Multilayer Energy Microharvesters

Abstract

PurposeIn this research, a numerical investigation was performed on the unconventional nonlinear dynamic feedbacks of plate-type multilayer energy microharvesters under sinusoidal impulsive time-dependent loadings.MethodsTo do so, without needing integration process and background meshes, meshless collocation models based on conventional and nonlocal couple-based exponential shear flexible plate formulations were established and edge conditions were imposed directly to boundary nodes. Gaussian random field pattern was applied to determine the characteristics of porous-material-made passive cores with two graded and uniform porosity dispersions along the thickness.ResultsFor the extracted voltage, five extremum points were identified within clamped multilayer energy microharvester forced dynamical response, while three extremum points were observed for the simply supported one.ConclusionIt was found that nonlocality effect enhanced the average extracted voltages of extremum points for simply supported and clamped exponential shear flexible microharvesters from 214.5277\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$214.5277$$\end{document} to 234.0496mv\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$234.0496 mv$$\end{document} (9.10% increase) and from 108.6055\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$108.6055$$\end{document} to 117.9522mv\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$117.9522 mv$$\end{document} (8.61% increase), respectively. However, rotation gradient tensor effect reduced the average extracted voltages of extremum points for simply supported and clamped exponential shear flexible microharvesters from 214.5277\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$214.5277$$\end{document} to 194.7843mv\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$194.7843 mv$$\end{document} (9.21% decrease) and from 108.6055\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$108.6055$$\end{document} to 99.0225mv\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$99.0225 mv$$\end{document} (8.82% decrease), respectively. That is, for both edge conditions, rotation gradient tensor played more significant roles in exponential shear flexible multilayer energy microharvester nonlinear dynamics than the nonlocal stress tensor.