基于Modelica的流体点胶过程仿真技术研究

Modelica-based Simulation Research of Fluid Dispensing Process

Modelica是为解决复杂物理系统建模与仿真问题而提出的一种统一建模语言,目前尚未发展出一般性的偏微分方程建模方法。流体点胶则是一种微量流体精确成型技术,需要对流体流动过程进行建模。在Modelica语言的框架下,实现了点胶过程中的流体流动过程建模仿真。实现方法采用了Legendre多项式为基函数,通过对过程方程的谱方法近似求解得到,具有物理上准确、数学上简洁的特点,为Modelica语言在分布式参数系统仿真领域的应用提供了一种新的解决思路。

Modelica is a unified modeling language for complex physical system modeling and simulation. For now, it is not mature in PDE modeling domain. Fluid dispensing is a micro-fluid control technology and it needs an accurate fluid flow model, A dispensing modeling method was given for Newtonian fluid and it could be easily implemented by Modelica. Using the Legendre polynomial, an approximate analytical solution for fluid flow simulation could be developed, Being physically accurate and mathematically simple, this method can be used for distributed parameter system modeling.