Optimum Gate Design of FreeForm Injection Mould using the

Optimum Gate Design of FreeForm Injection Mould using the Abductive Network基于Abductive网络的最佳任意注射模具浇口设计J. C. LinDepartment of Mechanical Design Engineering, National Hu-Wei Institute of Technology, Yunlin, TaiwanThis study uses the injection position and size of the gate as the major control parameters for a simulated injection-mould. Once the injection parameters (gate size and gate position) are given, the product performance (deformation) can be accuratelypredicted by the abductive network developed.本研究以注射位置和浇口的大小作为主要控制参数来模拟注射模具。

一旦给出了喷雾参数(浇口大小和浇口位置,可用成熟的Abductive网络准确的预测产品性能(变形)。

To avoid the numerous influencing factors, first the part-line of the parameter equation is created by an abductive network to limit therange of the gate. The optimal injection parameters can be searched for by a simulation annealing (SA) optimization algorithm, with a performance index, to obtain a perfectpart. 为了避免众多的影响因素,使用 abductive网络建立第一个线性参数方程来限制浇口的范围。

用一个仿真退火算法优化算法计算出最优喷雾参数,用一个性能指标、获得一个完美的部分。

The major purpose is searching for the optimal gate location on the part-surface, and minimising the air-trap and deformation after part formation. This study also uses a practical example which has been and proved by experiment to achieve a satisfactory result.主要目的是追求铸件浇注面上最优浇口的位置,最大程度的减少了铸件缩孔和变形形成。

这研究也使用一个实际的例子, 实验证明结果令人满意。

Keywords:Abductive network; Injection mould; Simulation annealing (SA)关键词:Abductive网络;注射模具;模拟退火算法1. Introduction1。

介绍Owing to the rapid development of industry and commerce in recent years, there is a need for rapid and high volume production of goods. The products are manufactured using moulds in order to save the time and cost. Plastic products are the majority. Owing to theseproducts not requiring complicated processes it is possible to cope with market demand speedily and conveniently.近年来,由于工业的迅速发展,市场需要快速、大量生产的产品。

公司产品全部使用模具可节省时间和成本。

塑料制品占大部分，因为这些产品不需要复杂的过程，并能快速方便的应对市场的需求等特点。

In traditional plastic production, the designs of the portions of the mould are determined by humans. However, because of the increased performance requirements, the complexity of plastic products has increased. First, the geometric shapes of the plastic products are difficult to draw, and the internal shape is often complex which also affects the production of the product.在传统的塑料产品设计,模具部分取决于人类。

然而,由于增加的性能要求,和增加的复杂的塑料制品。

首先,各种塑料制品的几何形状是很难绘制、其内部形状往往相当复杂，也会影响生产的产品。

Injection processing can be divided into three stages:注塑加工可以分为三个阶段:1. Heat the plastic material to a molten state. Then, by high pressure, force the material to the runner, and then into the mould cavity. 1。

加热塑料材料成熔化状态。

然后,在高压下使其流动,最后进入模腔。

2. When the filling of the mould cavity is completed, more molten plastic should be delivered into the cavity at high pressure to compensate for the shrinkage of the plastic. This ensures complete filling of the mould cavity.2。

当灌满模腔后,更多的熔化塑胶应该被浇在高压冒口来补偿的塑料的收缩。

这保证了模腔完全注满。

3. Take out the product after cooling. 3。

冷却后取出产品。

Though the filling process is only a small proportion of the complete formation cycle, it is very important. If filling in incomplete, there is no pressure holding and cooling is required. Thus, the flow of the plastic fluid should be controlled thoroughly to ensure the quality of the product. 虽然浇注过程只是一小部分的完整的生产周期,但是很重要。

填充不完善,就没有稳压和充分冷却。

因此,塑性流体的流动必须完全严格控制,以确保产品质量。

The isothermal filling model of a Newtonian fluid is the simplest injection mould-flow filling model.等温浇注模型的牛顿液体是最简单的注射mould-flow充填模式。

Richardson [1] produced a complete and detailed concept. The major concept is based on the application of lubrication theory, and he simplified the complex 3Dflow theory to 2D Hele-Shaw flow.The Hele-Shaw flow was used to simulate the potential flow and was furthermore used in the plasticity flow of the plastic.。

理查德森[1]的基础上产生了一个完整而详细的概念。

主要观念被基于润滑的应用理论，他简化复杂的3d流体理论为2d隙可互溶流动。

隙可互溶流动被过去常常模拟势流动，此外使用在可塑性塑料的流动。

He assumed the plasticity flow on an extremely thin plate and fully developed the flow by ignoring the speed change through the thickness. 他假设塑料流动在一种极薄的金属板上，充分流动忽视通过厚度对速度的改变。

Kamal et al. used similar methods to obtain the filling condition fora rectangular mould cavity, and the analytical result obtained was almost identical to the experimental result。

卡迈勒以及其他人。

使用类似的方法获得为一个矩形模具型腔的填充条件，解析的结果获得几乎和实验结果完全相同。

Plastic material follows the Newtonian fluid model for flow in a mould cavity, and Bird et al. [2–4] derived mould-flow theory based on this. When the shape of a mould is complicated and there is variation in thickness, then the equilibrium equations changes to nonlinear and has no analytical solution. Thus, it can be solved only by finite-difference or numerical solutions [2,5]塑料注入一个铸模空腔遵照牛顿的流动模型，以及其他后继Bird等人[2 - 4]派生的mould-flow理论以此为基础。