Mathematical Modeling of Droplet Injection Process of Indirect Piezoelectric 3D Printhead for Casting Sand Mold

摘要

Aiming at the problem of small size of ejected ink droplet and easy damage to contact between piezoelectric sheet and liquid in the process of casting sand mould 3D printing, an Indirect piezoelectric actuated diaphragm-driven micro-droplet jetting technology is presented to overcome the defects of the existing micro jetting technology. The primary principle of the piezoelectric actuated diaphragm-driven micro jetting technology is introduced and physical model is made to establish the mathematical model. As a result, through the force - displacement equation of piezoelectric actuator was simplified, the force - displacement equation of piezoelectric actuator was obtained. When the fluid movement is considered the law of mass and energy conservation is employed, which greatly simplifies the analyzing procedure, the mathematical model of piezoelectric actuated micro-droplet jetting process on casting sand mould 3D printing is built. The research will provide theoretical basis for revealing the spraying behavior of droplet injection device and realizing the optimal design of system structure for 3D printing of casting sand mold.