週次 |
日期 |
單元主題 |
第1週 |
02/19 |
Course Description and Evaluation Method; Piezoelectric Energy Harvesting with Animation |
第2週 |
02/26 |
A simple model for formulating piezoelectric energy harvesting; steady-state solutions for displacement and voltage; power as a function of excitation frequency at a fixed load; power as a function of load at a fixed excitation frequency; analysis of weak and strong electromechanical coupling |
第3週 |
03/05 |
Mathematical preliminaries, notation simplifications, Coulomb's law, electric field, electric potential |
第4週 |
03/12 |
Gauss's law in the cases of discrete and continuous charge distributions; examples of solving electric field directly |
第5週 |
03/19 |
Conductors: type I and type II; example of a charged sphere; example of a uncharged spherical conductor with a cavity of weird shape containing a point charge |
第6週 |
03/26 |
Polarization; Gauss's Law in the presence of dielectrics; linear dielectrics; dielectric constant |
第7週 |
04/02 |
capacitors: one conductor; two conductors; examples of two parallel metal plates (vacuum in between & dielectrics in between) |
第8週 |
04/09 |
electrostatic energy: explaining why the capacitance matrix is positive definite; TENG: V-Q-X relation |
第9週 |
04/16 |
Tensorial properties of materials - 2-tensors: definition, representation and tensor product |
第10週 |
04/23 |
Strain tensor; geometric interpretation; action-reaction principle; stress tensor; balance of linear/angular momentum |
第11週 |
04/30 |
Constitutive Relation: elastic 4-tensor, first-minor, second-minor, major symmetries; material symmetry; isotropic materials, boundary conditions |
第12週 |
05/07 |
piezoelectric constitutive relations; Voigt notation; 4-forms: d-form, g-form, e-form, h-form |
第13週 |
05/14 |
COMSOL practice |
第14週 |
05/21 |
Symmetry for piezoelectric tensor; poled ferroelectric ceramics; transformation between lab and material coordinates. |
第15週 |
05/28 |
Most common modes in piezoelectric devices: "3-1" and "3-3" modes |