|
週次 |
日期 |
單元主題 |
|
第1週 |
02/25 |
Course Description and Evaluation Method; Piezoelectric Energy Harvesting with Animation |
|
第2週 |
03/04 |
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 |
03/11 |
Mathematical preliminaries, notation simplifications, Coulomb's law, electric field, electric potential |
|
第4週 |
03/18 |
Gauss's law in the cases of discrete and continuous charge distributions; examples of solving electric field directly; Conductors: type I and type II; example of a charged sphere |
|
第5週 |
03/25 |
Example of a uncharged spherical conductor with a cavity of weird shape containing a point charge; capacitors: one conductor; two conductors |
|
第6週 |
04/01 |
Electrostatic energy: explaining why the capacitance matrix is positive definite; polarization; Gauss's Law in the presence of dielectrics; examples of two parallel metal plates (vacuum in between) |
|
第7週 |
04/08 |
linear dielectrics; dielectric constant; examples of two parallel metal plates (dielectrics in between); TENG: V-Q-X relation |
|
第8週 |
04/15 |
Tensorial properties of materials - 2-tensors: definition, representation and tensor product |
|
第9週 |
04/22 |
Strain tensor; geometric interpretation; action-reaction principle; stress tensor; balance of linear/angular momentum |
|
第10週 |
04/29 |
Constitutive Relation: elastic 4-tensor, first-minor, second-minor, major symmetries; material symmetry; isotropic materials, boundary conditions |
|
第11週 |
05/06 |
COMSOL practice |
|
第12週 |
05/13 |
Piezoelectric constitutive relations - introducing 3-tensors (direct and converse piezoelectric effect); Voigt notation; 4-forms: d-form, g-form, e-form, h-form |
|
第13週 |
05/20 |
Piezoelectric constitutive relations; Voigt notation; 4-forms: d-form, g-form, e-form, h-form; Show that the direct and converse piezoelectric effect share the identical coupling coefficients; Symmetry for 2- tensors |
|
第14週 |
05/27 |
Symmetry for piezoelectric materials; poled ferroelectric ceramics; transformation between lab and material coordinates |
|
第15週 |
06/03 |
Most common modes in piezoelectric devices: "3-1" and "3-3" modes; piezoelectric formulations; mechanical and electric boundary conditions; Hamiltonian principle |